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Existence and Uniqueness of Fixed Point in Various Abstract Spaces and Related Applications

Call for Papers

It is indispensable that the fixed point theory in the metric space has a crucial role in nonlinear analysis and has wide application potential in almost all quantitive sciences. In the last fifty years, discussing the existence and uniqueness of a fixed point of single and multivalued operators in various spaces (quasimetric, symmetric, b-metric, and fuzzy metric spaces) has attracted the attention of several researchers of nonlinear analysis. The motivation behind this interest is the enormous potential applications of this theory to various braces of mathematics as well as the other quantitive sciences, such as engineering, chemistry, biology, economics, computer science, and other sciences.

This call is for the papers that are original, of good quality, and of current interest in theoretical and computational applications aspect of nonlinear functional analysis, convex analysis, fixed point theory, and their applications. Potential topics include, but are not limited to:

  • Quasimetric spaces and fixed point problems
  • Partial-metric spaces and fixed point problems
  • Fuzzy-metric spaces and fixed point problems
  • CAT(0)-spaces and fixed point theorems
  • Fixed point and Ulam-Hyres stability
  • Well-posedness of fixed point results
  • Iterative methods for the fixed points of the nonexpansive-type mappings or the nonexpansive semigroup
  • Fixed point methods for the variational inequalities and applications
  • Fixed point methods for the equilibrium problems and applications
  • Advances on multivalued fixed point theorems
  • Picard operators on various abstract spaces
  • Hybrid contraction mappings and related fixed point problems

Manuscripts submitted will be considered for publication with the understanding that the same work has not been published and is not under consideration for publication elsewhere.

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/exist/ according to the following timetable:

Manuscript DueFriday, 1 August 2014
First Round of ReviewsFriday, 24 October 2014
Publication DateFriday, 19 December 2014

Lead Guest Editor

  • Erdal Karapinar, Department of Mathematics, Atilim University, İncek, Ankara, Turkey

Guest Editors

  • Wei-Shih Du, Department of Mathematics, National Kaohsiung Normal University, Kaohsiung 824, Taiwan
  • Poom Kumam, Department of Mathematics, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Road, Bang Mod, Thung Khru, Bangkok 10140, Thailand
  • Adrian Petrusel, Babes-Bolyai University Cluj-Napoca, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania
  • Salvador Romaguera, Instituto Universitario de Matemática Puray Aplicada, Universitat Politècnica de València, Camí de Vera s/n, 46022 Valencia, Spain