On the fixed point theory of soft metric spaces

Fixexd point theory and applications

Mujahid Abbas¹  Salvador Romaguera²  Ghulam Murtaza³ 

[1] Department of Mathematics and Applied Mathematics, University of Pretoria, Pretoria, South Africa;Department of Mathematics, GC University, Faisalabad, Pakistan;Department of Mathematics, King Abdulaziz University, Jeddah, Saudi Arabia

关键词: soft mapping;    soft metric space;    soft contraction;    soft Caristi mapping;   

DOI  :  10.1186/s13663-016-0502-y

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The aim of this paper is to show that a soft metric induces a compatible metric on the collection of all soft points of the absolute soft set, when the set of parameters is a finite set. We then show that soft metric extensions of several important fixed point theorems for metric spaces can be directly deduced from comparable existing results. We also present some examples to validate and illustrate our approach.

【 授权许可】

CC BY