Browsing by Author "Chen,C.-M."

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Citation - Scopus: 16
Fixed Point Theory for the Α-Admissible Meir-Keeler Type Set Contractions Having Kkm* Property on Almost Convex Sets
(Natural Sciences Publishing, 2017) Chen,C.-M.; Abkar,A.; Ghods,S.; Karapinar,E.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
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 σp 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. © 2017 NSP.
Citation - Scopus: 10
On (α-Φ) Contractions on Partial Hausdorff Metric Spaces
(Politechnica University of Bucharest, 2018) Chen,C.-M.; Karapinar,E.; O'Regan,D.; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this note we introduce the concept of a (α - φ)-Meir-Keeler contraction for multi-valued mappings and we investigate the existence of fixed points of such mappings in a complete partial metric space. Our results generalize, extend and unify several recent fixed point results. © 2018 Politechnica University of Bucharest. All rights reserved.