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Citation - WoS: 3
Citation - Scopus: 7
Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces
(Hindawi Publishing Corporation, 2014) Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, Vladimir
We introduce the notions of (alpha - phi - psi)-weaker Meir-Keeler contractive mappings and (alpha - phi)- stronger Meir-Keeler contractive mappings. We discuss the existence of periodic points in the setting of generalized quasi-metric spaces. Our results improve, extend, and generalize several results in the literature.
Citation - WoS: 19
Citation - Scopus: 24
Fixed Point Results for the Α-Meir Contraction on Partial Hausdorff Metric Spaces
(Springeropen, 2013) Chen, Chi-Ming; Karapinar, Erdal
The purpose of this paper is to study fixed point theorems for a multi-valued mapping satisfying the alpha-Meir-Keeler contraction with respect to the partial Hausdorff metric H in complete partial metric spaces. Our result generalizes and extends some results in the literature.