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## Applications of Fixed Point and Approximate Algorithms

Guest Editors: Yonghong Yao, Rudong Chen, Giuseppe Marino, and Yeong-Cheng Liou- Applications of Fixed Point and Approximate Algorithms, Yonghong Yao, Rudong Chen, Giuseppe Marino, and Yeong-Cheng Liou

Volume 2012 (2012), Article ID 175459, 2 pages - A Modified Regularization Method for the Proximal Point Algorithm, Shuang Wang

Volume 2012 (2012), Article ID 567948, 14 pages - The Global Existence of Nonlinear Evolutionary Equation with Small Delay, Xunwu Yin

Volume 2012 (2012), Article ID 257140, 10 pages - Existence of
Positive Solutions for Sturm-Liouville Boundary Value Problems with Linear Functional Boundary Conditions on the Half-Line, Yanmei Sun and Zengqin Zhao

Volume 2012 (2012), Article ID 653675, 17 pages - Fixed-Point Iterative Algorithm for the Linear Fredholm-Volterra Integro-Differential Equation, M. I. Berenguer, D. Gámez, and A. J. López Linares

Volume 2012 (2012), Article ID 370894, 12 pages - Approximation of Common Fixed Points of a Sequence of Nearly Nonexpansive Mappings and Solutions of Variational Inequality Problems, D. R. Sahu, Shin Min Kang, and Vidya Sagar

Volume 2012 (2012), Article ID 902437, 12 pages - Strong Convergence of Hybrid Algorithm for Asymptotically Nonexpansive Mappings in Hilbert Spaces, Juguo Su, Yuchao Tang, and Liwei Liu

Volume 2012 (2012), Article ID 170540, 11 pages - Existence and Strong Convergence Theorems for Generalized Mixed Equilibrium Problems of a Finite Family of Asymptotically Nonexpansive Mappings in Banach Spaces, Rabian Wangkeeree, Hossein Dehghan, and Pakkapon Preechasilp

Volume 2012 (2012), Article ID 859492, 21 pages - System of Nonlinear Set-Valued Variational Inclusions Involving a Finite Family of
-Accretive Operators
in Banach Spaces, Prapairat Junlouchai and Somyot Plubtieng

Volume 2012 (2012), Article ID 560248, 15 pages - Hybrid Algorithms of Nonexpansive Semigroups for Variational Inequalities, Peixia Yang, Yonghong Yao, Yeong-Cheng Liou, and Rudong Chen

Volume 2012 (2012), Article ID 634927, 15 pages - A Modified Halpern-TypeIterative Method of a System of Equilibrium Problems and a Fixed Point for a Totally Quasi-
-Asymptotically Nonexpansive Mapping in a Banach Space, Preedaporn Kanjanasamranwong, Poom Kumam, and Siwaporn Saewan

Volume 2012 (2012), Article ID 750732, 19 pages - Some Fixed Point Theorems for Nonlinear Set-Valued Contractive Mappings, Zeqing Liu, Zhihua Wu, Shin Min Kang, and Sunhong Lee

Volume 2012 (2012), Article ID 786061, 13 pages - Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems, Kamonrat Nammanee, Suthep Suantai, and Prasit Cholamjiak

Volume 2012 (2012), Article ID 804538, 16 pages - An Iteration to a Common Point of Solution of Variational Inequality and Fixed Point-Problems in Banach Spaces, H. Zegeye and N. Shahzad

Volume 2012 (2012), Article ID 504503, 19 pages - Explicit Iterative Method for Variational Inequalities on Hadamard Manifolds, Muhammad Aslam Noor and Khalida Inayat Noor

Volume 2012 (2012), Article ID 691806, 8 pages - Existence Results of Nondensely Defined Fractional Evolution Differential Inclusions, Zufeng Zhang and Bin Liu

Volume 2012 (2012), Article ID 316850, 19 pages - A System of Mixed Equilibrium Problems, a General System of Variational Inequality Problems for Relaxed Cocoercive, and Fixed Point Problems for Nonexpansive Semigroup and Strictly Pseudocontractive Mappings, Poom Kumam and Phayap Katchang

Volume 2012 (2012), Article ID 414831, 35 pages - Implicit Mann Type Iteration Method Involving Strictly Hemicontractive Mappings in Banach Spaces, Arif Rafiq and Shin Min Kang

Volume 2012 (2012), Article ID 294718, 11 pages - Characterization of the Equilibrium Strategy of Fuzzy Bimatrix Games Based on Fuzzy Variables, Cun-lin Li

Volume 2012 (2012), Article ID 824790, 15 pages - A Viscosity Approximation Scheme for Finding Common Solutions of Mixed Equilibrium Problems, a Finite Family of Variational Inclusions, and Fixed Point Problems in Hilbert Spaces, Bin-Chao Deng, Tong Chen, and Baogui Xin

Volume 2012 (2012), Article ID 152023, 18 pages - Strong Convergence of Viscosity Approximation Methods for Nonexpansive Mappings in CAT(0) Spaces, Luo Yi Shi and Ru Dong Chen

Volume 2012 (2012), Article ID 421050, 11 pages - Some Iterative Methods for Solving Nonconvex Bifunction Equilibrium Variational Inequalities, Muhammad Aslam Noor, Khalida Inayat Noor, and Saira Zainab

Volume 2012 (2012), Article ID 280451, 10 pages - Weak Convergence Theorems for Strictly Pseudocontractive Mappings and Generalized Mixed Equilibrium Problems, Jong Soo Jung

Volume 2012 (2012), Article ID 384108, 18 pages - Positive Solutions for Nonlinear Differential Equations with Periodic Boundary Condition, Shengjun Li, Li Liang, and Zonghu Xiu

Volume 2012 (2012), Article ID 528719, 13 pages - The Equivalence of Convergence Results between Ishikawa and Mann Iterations with Errors for Uniformly Continuous Generalized Φ-Pseudocontractive Mappings in Normed Linear Spaces, Guiwen Lv and Zhiqun Xue

Volume 2012 (2012), Article ID 395098, 11 pages - Noncompact Equilibrium Points and Applications, Zahra Al-Rumaih, Souhail Chebbi, and Hong Kun Xu

Volume 2012 (2012), Article ID 373462, 9 pages - Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds, Muhammad Aslam Noor and Khalida Inayat Noor

Volume 2012 (2012), Article ID 657278, 8 pages - Implicit Methods for Equilibrium Problems on Hadamard Manifolds, Muhammad Aslam Noor, Saira Zainab, and Yonghong Yao

Volume 2012 (2012), Article ID 437391, 9 pages - A Perturbed Projection Algorithm with Inertial Technique for Split Feasibility Problem, Yazheng Dang, Yan Gao, and Yanli Han

Volume 2012 (2012), Article ID 207323, 10 pages - Existence and Stability of Iterative Algorithm for a System of Random Set-Valued Variational Inclusion Problems Involving (
)-Generalized Monotone Operators, Jittiporn Suwannawit and Narin Petrot

Volume 2012 (2012), Article ID 590676, 21 pages - The Research of the Fractal Nature between Costs and Efficacy in
the Brain Vascular Disease, Shuo Sun and Xiaocui Xing

Volume 2012 (2012), Article ID 171406, 12 pages - Common Fixed Point Results Using Generalized Altering Distances on Orbitally Complete Ordered Metric Spaces, Hemant Kumar Nashine, Zoran Kadelburg, and Zorana Golubovic

Volume 2012 (2012), Article ID 382094, 12 pages - The System of Mixed Equilibrium Problems for Quasi-Nonexpansive Mappings in Hilbert Spaces, Rabian Wangkeeree and Panatda Boonman

Volume 2012 (2012), Article ID 282094, 17 pages - Erlang's Fixed-Point Approximation for Performance Analysis of HetNets, Guozhi Song, Jigang Wu, John Schormans, and Laurie Cuthbert

Volume 2012 (2012), Article ID 862809, 13 pages - A Minimum Problem for Finite Sets of Real Numbers with Nonnegative Sum, G. Chiaselotti, G. Marino, and C. Nardi

Volume 2012 (2012), Article ID 847958, 15 pages - On Generalized Bazilevic Functions Related with Conic Regions, Khalida Inayat Noor and Kamran Yousaf

Volume 2012 (2012), Article ID 982321, 10 pages - Existence Results for General Mixed Quasivariational Inequalities, Muhammad Aslam Noor and Khalida Inayat Noor

Volume 2012 (2012), Article ID 701858, 8 pages - Tripled Fixed Point Results in Generalized Metric Spaces, Hassen Aydi, Erdal Karapınar, and Wasfi Shatanawi

Volume 2012 (2012), Article ID 314279, 10 pages - On Unification of the Strong Convergence Theorems for a Finite Family of Total Asymptotically Nonexpansive Mappings in Banach Spaces, Farrukh Mukhamedov and Mansoor Saburov

Volume 2012 (2012), Article ID 281383, 21 pages - A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations, Fang Li, Jin Liang, Tzon-Tzer Lu, and Huan Zhu

Volume 2012 (2012), Article ID 901942, 18 pages - Viscosity Approximation Method for System of Variational Inclusions Problems and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings, Chaichana Jaiboon and Poom Kumam

Volume 2012 (2012), Article ID 816529, 26 pages - On Approximate Coincidence Point Properties and Their Applications to Fixed Point Theory, Wei-Shih Du

Volume 2012 (2012), Article ID 302830, 17 pages - An Alternative Regularization Method for
Equilibrium Problems and Fixed Point of
Nonexpansive Mappings, Shuo Sun

Volume 2012 (2012), Article ID 202860, 16 pages - Solutions for -Laplacian Dynamic Delay Differential Equations on Time Scales, Hua Su, Lishan Liu, and Xinjun Wang

Volume 2012 (2012), Article ID 652465, 23 pages - Two General Algorithms for Computing Fixed Points of Nonexpansive Mappings in Banach Spaces, Shuang Wang

Volume 2012 (2012), Article ID 658905, 11 pages - A Problem Concerning Yamabe-Type Operators of Negative Admissible Metrics, Jin Liang and Huan Zhu

Volume 2012 (2012), Article ID 930868, 11 pages - On Nonlinear Neutral Fractional Integrodifferential Inclusions with Infinite Delay, Fang Li, Ti-Jun Xiao, and Hong-Kun Xu

Volume 2012 (2012), Article ID 916543, 19 pages - General Iterative Methods for Equilibrium Problems and Infinitely Many Strict Pseudocontractions in Hilbert Spaces, Peichao Duan and Aihong Wang

Volume 2012 (2012), Article ID 602513, 17 pages - Parametric Extended General Mixed Variational Inequalities, Muhammad Aslam Noor

Volume 2012 (2012), Article ID 201947, 11 pages - A Note on Implicit and Explicit Mann Iterative Processes for Asymptotically -Strongly Pseudocontractive Mappings, Luigi Muglia and Yonghong Yao

Volume 2012 (2012), Article ID 912050, 14 pages - Strong Convergence Theorems for the Generalized Split Common Fixed Point Problem, Cuijie Zhang

Volume 2012 (2012), Article ID 575014, 13 pages - On the Strong Convergence of an Algorithm about Firmly Pseudo-Demicontractive Mappings for the Split Common Fixed-Point Problem, Yanrong Yu and Delei Sheng

Volume 2012 (2012), Article ID 256930, 9 pages - Fixed Points of Asymptotic Pointwise Nonexpansive Mappings in Modular Spaces, Xue Wang, Ying Chen, and Rudong Chen

Volume 2012 (2012), Article ID 319394, 6 pages - Applications of Fixed-Point and Optimization Methods to the Multiple-Set Split Feasibility Problem, Yonghong Yao, Rudong Chen, Giuseppe Marino, and Yeong Cheng Liou

Volume 2012 (2012), Article ID 927530, 21 pages - Approximation of Solutions of an Equilibrium Problem in a Banach Space, Hecai Yuan and Guohong Shi

Volume 2012 (2012), Article ID 812783, 10 pages - Generalized AOR Method for Solving Absolute Complementarity Problems, Muhammad Aslam Noor, Javed Iqbal, Khalida Inayat Noor, and E. Al-Said

Volume 2012 (2012), Article ID 743861, 14 pages - Convergence of a Proximal Point Algorithm for Solving Minimization Problems, Abdelouahed Hamdi, M. A. Noor, and A. A. Mukheimer

Volume 2012 (2012), Article ID 142862, 13 pages - Implicit and Explicit Iterations with Meir-Keeler-Type Contraction for a Finite Family of Nonexpansive Semigroups in Banach Spaces, Jiancai Huang, Shenghua Wang, and Yeol Je Cho

Volume 2012 (2012), Article ID 720192, 14 pages - New Generalized Mixed Equilibrium Problem with Respect to Relaxed Semi-Monotone Mappings in Banach Spaces, Rabian Wangkeeree and Pakkapon Preechasilp

Volume 2012 (2012), Article ID 790592, 25 pages - Convergence of an Iterative Algorithm for Common Solutions for Zeros of Maximal Accretive Operator with Applications, Uamporn Witthayarat, Yeol Je Cho, and Poom Kumam

Volume 2012 (2012), Article ID 185104, 17 pages - Implicit Iterative Method for Hierarchical Variational Inequalities, L.-C. Ceng, Q. H. Ansari, N.-C. Wong, and J.-C. Yao

Volume 2012 (2012), Article ID 472935, 14 pages - First-Order Three-Point Boundary Value Problems at Resonance Part III, Mesliza Mohamed, Bevan Thompson, and Muhammad Sufian Jusoh

Volume 2012 (2012), Article ID 357651, 14 pages - A Hybrid Extragradient-Like Method for Variational Inequalities, Equilibrium Problems, and an Infinitely Family of Strictly Pseudocontractive Mappings, Yaqin Wang, Hongkun Xu, and Xiaoli Fang

Volume 2012 (2012), Article ID 804642, 15 pages - A General Iterative Method for a Nonexpansive Semigroup in Banach Spaces with Gauge Functions, Kamonrat Nammanee, Suthep Suantai, and Prasit Cholamjiak

Volume 2012 (2012), Article ID 506976, 14 pages - Strong Convergence of a Projected Gradient Method, Shunhou Fan and Yonghong Yao

Volume 2012 (2012), Article ID 410137, 10 pages - Nonlinear Random Stability via Fixed-Point Method, Yeol Je Cho, Shin Min Kang, and Reza Saadati

Volume 2012 (2012), Article ID 902931, 45 pages - Fixed and Best Proximity Points of Cyclic Jointly Accretive and Contractive Self-Mappings, M. De la Sen

Volume 2012 (2012), Article ID 817193, 29 pages - Existence and Iterative Algorithm of Solutions for a System of Generalized Nonlinear Mixed Variational-Like Inequalities, Yan-Mei Du

Volume 2012 (2012), Article ID 176283, 14 pages - Iterative Algorithm for Common Fixed Points of Infinite Family of Nonexpansive Mappings in Banach Spaces, Songnian He and Jun Guo

Volume 2012 (2012), Article ID 787419, 13 pages - Polynomial Time Approximation Schemes for the Constrained Minimum
Spanning Tree Problem, Yen Hung Chen

Volume 2012 (2012), Article ID 394721, 8 pages - Algorithms for General System of Generalized Resolvent Equations with Corresponding System of Variational Inclusions, Lu-Chuan Ceng and Ching-Feng Wen

Volume 2012 (2012), Article ID 487394, 24 pages - Strong Convergence of the Viscosity Approximation Process for the Split Common Fixed-Point Problem of Quasi-Nonexpansive Mappings, Jing Zhao and Songnian He

Volume 2012 (2012), Article ID 438023, 12 pages - Iterative Algorithms for Solving the System of Mixed Equilibrium Problems, Fixed-Point Problems, and Variational Inclusions with Application to Minimization Problem, Tanom Chamnarnpan and Poom Kumam

Volume 2012 (2012), Article ID 538912, 29 pages - Well-Posedness of Generalized Vector Quasivariational Inequality Problems, Jian-Wen Peng and Fang Liu

Volume 2012 (2012), Article ID 582792, 17 pages - Hybrid Iterative Scheme by a Relaxed Extragradient Method for Equilibrium Problems, a General System of Variational Inequalities and Fixed-Point Problems of a Countable Family of Nonexpansive Mappings, Qiao-Li Dong, Yan-Ni Guo, and Fang Su

Volume 2012 (2012), Article ID 572326, 18 pages - Hybrid Algorithm for Common Fixed Points of Uniformly Closed Countable Families of Hemirelatively Nonexpansive Mappings and Applications, Sumei Ai and Yongfu Su

Volume 2012 (2012), Article ID 401960, 20 pages - On the Convergence of a Smooth Penalty Algorithm without Computing Global Solutions, Bingzhuang Liu, Changyu Wang, and Wenling Zhao

Volume 2012 (2012), Article ID 620949, 12 pages - Quasi-Contractive Mappings in Modular Metric Spaces, Yeol J. E. Cho, Reza Saadati, and Ghadir Sadeghi

Volume 2012 (2012), Article ID 907951, 5 pages - Strong Convergence Theorems for Nonexpansive Semigroups and Variational Inequalities in Banach Spaces, Haiqing Wang, Yongfu Su, and Hong Zhang

Volume 2012 (2012), Article ID 641479, 19 pages - A Class of Three-Step Derivative-Free Root Solvers with Optimal Convergence Order, F. Soleymani, S. Karimi Vanani, and M. Jamali Paghaleh

Volume 2012 (2012), Article ID 568740, 15 pages - Regularized Mixed Variational-Like Inequalities, Muhammad Aslam Noor, Khalida Inayat Noor, Saira Zainab, and Eisa Al-Said

Volume 2012 (2012), Article ID 863450, 14 pages - Common Fixed Points for Asymptotic Pointwise Nonexpansive Mappings in Metric and Banach Spaces, P. Pasom and B. Panyanak

Volume 2012 (2012), Article ID 327434, 17 pages - A Regularized Gradient Projection Method for the Minimization Problem, Yonghong Yao, Shin Min Kang, Wu Jigang, and Pei-Xia Yang

Volume 2012 (2012), Article ID 259813, 9 pages - Approximation of Common Fixed Points of Nonexpansive Semigroups in Hilbert Spaces, Dan Zhang, Xiaolong Qin, and Feng Gu

Volume 2012 (2012), Article ID 417234, 13 pages - General Common Fixed Point Theorems and Applications, Shyam Lal Singh, Swami Nath Mishra, Renu Chugh, and Raj Kamal

Volume 2012 (2012), Article ID 902312, 14 pages - The Existence of Fixed Points for Nonlinear Contractive Maps in Metric Spaces with -Distances, Hossein Lakzian and Ing-Jer Lin

Volume 2012 (2012), Article ID 161470, 11 pages - Common Fixed Point Theorems in a New Fuzzy Metric Space, Weiquan Zhang, Dong Qiu, Zhifeng Li, and Gangqiang Xiong

Volume 2012 (2012), Article ID 890678, 18 pages - A New Iterative Scheme for Generalized Mixed Equilibrium, Variational Inequality Problems, and a Zero Point of Maximal Monotone Operators, Kriengsak Wattanawitoon and Poom Kumam

Volume 2012 (2012), Article ID 692829, 27 pages - Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications, Prasit Cholamjiak, Suthep Suantai, and Yeol Je Cho

Volume 2012 (2012), Article ID 308791, 18 pages - Implicit Schemes for Solving Extended General Nonconvex Variational Inequalities, Muhammad Aslam Noor, Khalida Inayat Noor, Zhenyu Huang, and Eisa Al-Said

Volume 2012 (2012), Article ID 646259, 10 pages - An Iterative Algorithm for a Hierarchical Problem, Yonghong Yao, Yeol Je Cho, and Pei-Xia Yang

Volume 2012 (2012), Article ID 320421, 13 pages - Projection Methods and a New System of Extended General Regularized Nonconvex Set-Valued Variational Inequalities, Javad Balooee, Yeol Je Cho, and Mee Kwang Kang

Volume 2012 (2012), Article ID 690648, 18 pages - Well-Posedness by Perturbations of Generalized Mixed Variational Inequalities in Banach Spaces, Lu-Chuan Ceng and Ching-Feng Wen

Volume 2012 (2012), Article ID 194509, 38 pages - On Six Solutions for
*m*-Point Differential Equations System with Two Coupled Parallel Sub-Super Solutions, Jian Liu, Hua Su, and Shuli Wang

Volume 2012 (2012), Article ID 359251, 15 pages - The Split Common Fixed Point Problem for Total Asymptotically Strictly Pseudocontractive Mappings, S. S. Chang, L. Wang, Y. K. Tang, and L. Yang

Volume 2012 (2012), Article ID 385638, 13 pages - Generalized Mixed Equilibrium Problems and Fixed P…
-Asymptotically Nonexpansive Mappings in Banach Spaces, Jinhua Zhu, Shih-Sen Chang, and Min Liu

Volume 2012 (2012), Article ID 961560, 22 pages - Global Convergence of a Modified Spectral Conjugate Gradient Method, Huabin Jiang, Songhai Deng, Xiaodong Zheng, and Zhong Wan

Volume 2012 (2012), Article ID 641276, 13 pages - Projection Algorithms for Variational Inclusions, Youli Yu, Pei-Xia Yang, and Khalida Inayat Noor

Volume 2012 (2012), Article ID 137932, 11 pages - Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities, Muhammad Aslam Noor, Khalida Inayat Noor, and Eisa Al-Said

Volume 2012 (2012), Article ID 125373, 10 pages - Iterative Methods for the Sum of Two Monotone Operators, Yeong-Cheng Liou

Volume 2012 (2012), Article ID 638632, 11 pages - Metric Characterizations of -Well-Posedness for a System of
Mixed Quasivariational-Like Inequalities in Banach Spaces, L. C. Ceng and Y. C. Lin

Volume 2012 (2012), Article ID 264721, 22 pages - On the Convergence of Iterative Processes for Generalized Strongly Asymptotically -Pseudocontractive Mappings in Banach Spaces, Vittorio Colao

Volume 2012 (2012), Article ID 563438, 18 pages - On New Proximal Point Methods for Solving the Variational Inequalities, Muhammad Aslam Noor, Khalida Inayat Noor, and Eisa Al-Said

Volume 2012 (2012), Article ID 412413, 7 pages - Extended Extragradient Methods for Generalized Variational Inequalities, Yonghong Yao, Yeong-Cheng Liou, Cun-Lin Li, and Hui-To Lin

Volume 2012 (2012), Article ID 237083, 14 pages - An Iterative Algorithm on Approximating Fixed Points of Pseudocontractive Mappings, Youli Yu

Volume 2012 (2012), Article ID 341953, 11 pages