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Optimization Problems via Best Proximity Point Analysis

Call for Papers

Many problems arising in different areas of mathematics, such as optimization, variational analysis, and differential equations, can be modeled as equations of the form Tx=x, where T is a given mapping in the framework of a metric space. However, such equation does not necessarily possess a solution if T happens to be nonself-mapping. In such situations, one speculates to determine an approximate solution x (called a best proximity point) that is optimal in the sense that the distance between x and Tx is minimum. The aim of best proximity point analysis is to provide sufficient conditions that assure the existence and uniqueness of a best proximity point.

This special issue is focused on the latest achievements in best proximity point analysis and the related applications. Potential topics include, but are not limited to:

  • Existence theorems for best proximity points involving single-valued mappings
  • Existence theorems for best proximity points involving multivalued mappings
  • Algorithms for best proximity points
  • The study of best proximity points in partially ordered sets
  • Best proximity points involving cyclic mappings

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, 15 November 2013
First Round of ReviewsFriday, 7 February 2014
Publication DateFriday, 4 April 2014

Lead Guest Editor

  • Bessem Samet, Department of Mathematics, King Saud University, Riyadh, Saudi Arabia

Guest Editors

  • Mohamed Jleli, Department of Mathematics, King Saud University, Riyadh, Saudi Arabia
  • Erdal Karapinar, Department of Mathematics, Atilim University, Incek, 06836 Ankara, Turkey
  • Adrian Petrusel, Babes-Bolyai University Cluj-Napoca, Faculty of Mathematics and Computer Science, Cluj-Napoca, Romania
  • Calogero Vetro, Dipartimento di Matematica e Informatica, Università degli Studi di Palermo, Palermo, Italy