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Fixed point theory for the α-admissible meir-keeler- type set contractions having KKM* property on almost convex sets
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Fixed point theory for the α-admissible meir-keeler- type set contractions having KKM* property on almost convex sets

C.-M. Chen, A. Abkar, S. Ghods and E. Karapinar
Applied Mathematics and Information Sciences, Vol.11(1), pp.171-176
2017

Abstract

Almost convex set Fixed point KKM property Meir-Keeler-type set contraction α-admissible mapping Analysis Numerical Analysis Computer Science Applications Computational Theory and Mathematics Applied Mathematics
The purpose of this paper is to study fixed points for the KKM* family satisfying the a-admissible Meir-Keeler-type set contractions with respect to the set measure σ p of noncompactness in the context of Hausdorff topological vector spaces. Our results generalize or improve many recent fixed point theorems for the KKM family in the literature. Subject class: [2000]46T99,47H10, 54C60, 54H25, 55M20.

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