Best proximity point theorems for probabilistic proximal cyclic contraction with applications in nonlinear programming

Fixexd point theory and applications

Reza Saadati¹ 

[1] Department of Mathematics, Iran University of Science and Technology, Tehran, Iran

关键词: optimal approximate solution;    fixed point;    best proximity point;    proximal contraction;    proximal cyclic contraction;   

DOI  :  10.1186/s13663-015-0330-5

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we derive a best proximity point theorem for non-self-mappings satisfied proximal cyclic contraction in PM-spaces and this shows the existence of optimal approximate solutions of certain simultaneous fixed point equations in the event that there is no solution. As an application we consider a nonlinear programming problem. Our results extend and improve the recent results of (Sadiq Basha in Nonlinear Anal. 74(17):5844-5850, 2011).

【 授权许可】

CC BY