Journal of Applied Mathematics

New Contribution to the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems 2014


Status
Published

Lead Editor

1National Kaohsiung Normal University, Kaohsiung, Taiwan

2Atılım University, Ankara, Turkey

3National Changhua University of Education, Changhua, Taiwan

4Pukyong National University, Busan, Republic of Korea


New Contribution to the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems 2014

Description

The rapid growth of fixed point theory and its applications over the past 80 years has led to a number of scholarly essays that examine its nature and its importance in nonlinear analysis, applied mathematical analysis, economics, game theory, and so forth. Many authors devoted their attention to investigate its generalizations in various different directions of the celebrated Banach contraction principle. For example, an interesting direction of research is the extension of the Banach contraction principle to multivalued maps, known as Nadler’s fixed point theorem, Mizoguchi-Takahashi’s fixed point theorem, and Berinde-Berinde’s fixed point theorem. Very recently, several new iterative methods for fixed points and equilibrium problems have been investigated. In the past decades, applications of the equilibrium problem have been extensively studied in different areas of science and generalized to the vectorial equilibrium problems for single-valued or multivalued maps and applied to solve optimization problems, variational inequality problems, saddle point problems, complementary problems, bilevel problems, and semi-infinite problems. Recent investigations and developments in fixed point theory as well as optimization theory have been applied to put fundamental sciences into the real world.

We cordially and earnestly invite researchers to contribute their original and high quality research papers which will inspire the advance in fixed point theory, equilibrium problems, and optimization problems.

Potential topics include, but are not limited to:

  • Fixed point theory: existence, algorithms, and applications
  • Geometric theory of Banach spaces: existence, inequalities, and applications
  • Various abstract spaces and related nonlinear results
  • Ulam-Hyers stability problems via fixed point theory
  • Generalized Ekeland's variational principle and applications
  • Generalizations of KKM theory and applications
  • Variational inequality problems, equilibrium problems, complementarity problems, and their applications
  • Optimization: theory, algorithms, and real world applications
  • Split feasibility problems and applications
  • Nonlinear differential equations and matrix equations

Articles

  • Special Issue
  • - Volume 2015
  • - Article ID 709078
  • - Editorial

New Contribution to the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems 2014

Wei-Shih Du | Erdal Karapinar | ... | Gue Myung Lee
  • Special Issue
  • - Volume 2015
  • - Article ID 175254
  • - Research Article

Iterative Algorithms for Variational Inequalities Governed by Boundedly Lipschitzian and Strongly Monotone Operators

Caiping Yang | Songnian He
  • Special Issue
  • - Volume 2015
  • - Article ID 108357
  • - Research Article

Generalized Well-Posedness for Symmetric Vector Quasi-Equilibrium Problems

Wei-bing Zhang | Nan-jing Huang | Donal O’Regan
  • Special Issue
  • - Volume 2015
  • - Article ID 516159
  • - Research Article

Infinitely Many Eigenfunctions for Polynomial Problems: Exact Results

Yi-Chou Chen
  • Special Issue
  • - Volume 2015
  • - Article ID 510798
  • - Research Article

Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces

Shin Min Kang | Samir Dashputre | ... | Young Chel Kwun
  • Special Issue
  • - Volume 2014
  • - Article ID 728363
  • - Research Article

Hybrid Iterations for the Fixed Point Problem and Variational Inequalities

Li-Jun Zhu | Shin Min Kang | ... | Young Chel Kwun
  • Special Issue
  • - Volume 2014
  • - Article ID 353765
  • - Research Article

Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces

Chi-Ming Chen | Erdal Karapınar | Vladimir Rakočević
Journal of Applied Mathematics
 Journal metrics
Acceptance rate15%
Submission to final decision42 days
Acceptance to publication64 days
CiteScore1.100
Impact Factor-
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