Abstract

We define a weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir-Keeler type -set contraction in metric spaces.

Highlights

  • Introduction and PreliminarieIn 1929, Knaster et al 1 had proved the well-known KKM theorem on n-simplex

  • In 1961, Fan 2 had generalized the KKM theorem to an infinite dimensional topological vector space

  • Amini et al 3 had introduced the class of KKM-type mappings on metric spaces and established some fixed point theorems for this class

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Summary

Recommended by Marlene Frigon

We define a weaker Meir-Keeler type function and establish the fixed point theorems for a weaker Meir-Keeler type ψ-set contraction in metric spaces.

Introduction and Preliminarie
Fixed Point Theory and Applications
Main Results
Full Text
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