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
Summary
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.
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