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

Call for Papers

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, Berinde-Berinde’s fixed point theorem, and so on. Very recently, several new iterative methods for fixed points and equilibrium problems have been investigated. In the past decades, the equilibrium problem has extensively studied its applications in different areas of science and has been 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.

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:

  • Generalized existence theorems for fixed points
  • Nonlinear problems related to fixed point theory
  • Algorithms for fixed points
  • Generalized Ekeland’s variational principle with applications to nonlinear analysis
  • Generalizations of Knaster, Kuratowski, and Mazurkiewicz (simply, KKM) principle and their applications
  • Variational inequality problems: existence, algorithms, and applications
  • Equilibrium problems
  • Complementarity problems
  • Optimization problems

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at according to the following timetable:

Manuscript DueFriday, 7 June 2013
First Round of ReviewsFriday, 30 August 2013
Publication DateFriday, 25 October 2013

Lead Guest Editor

  • Wei-Shih Du, Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan

Guest Editors

  • Erdal Karapinar, Department of Mathematics, Atilim University, İncek, Ankara, Turkey
  • Lai-Jiu Lin, Department of Mathematics, National Changhua University of Education, Changhua 50058, Taiwan
  • Gue Myung Lee, Department of Applied Mathematics, Pukyong National University, Busan 608-737, Republic of Korea
  • Tamaki Tanaka, Graduate School of Science and Technology, Niigata University, Niigata Prefecture, Niigata 950-2181, Japan