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Article Citation - WoS: 2Citation - Scopus: 19Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces(Hindawi Publishing Corporation, 2014) Lin, Ing-Jer; Chen, Chi-Ming; Karapinar, ErdalBy using the weaker Meir-Keeler function phi and the triangular alpha-admissible mapping alpha, we introduce the notion of (alpha - phi)-weaker Meir-Keeler contractive mappings and prove a theorem which assures the existence of a periodic point for these mappings on generalized quasimetric spaces.Article Citation - WoS: 3Citation - Scopus: 7Existence of Periodic Fixed Point Theorems in the Setting of Generalized Quasi-Metric Spaces(Hindawi Publishing Corporation, 2014) Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, VladimirWe 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.Article Citation - WoS: 11Citation - Scopus: 14The Generalized Weaker (α-Φ Mappings and Related Fixed Point Results in Complete Generalized Metric Spaces(Hindawi Publishing Corporation, 2014) Alghamdi, Maryam A.; Chen, Chi-Ming; Karapinar, ErdalWe introduce the notion of generalized weaker (alpha-phi-phi)-contractive mappings in the context of generalized metric space. We investigate the existence and uniqueness of fixed point of such mappings. Some consequences on existing fixed point theorems are also derived. The presented results generalize, unify, and improve several results in the literature.Article Citation - WoS: 4Citation - Scopus: 4Common Periodic Soft Points of the Asymptotic Sequences in Soft Metric Spaces(Yokohama Publ, 2017) Chen, Chi-Ming; Karapinar, Erdal; MathematicsThe purpose of this paper is to study the important properties of soft sets and soft metric spaces, and then we prove some theorems which assures the existence of common periodic soft points for the asymptotic sequences with respect to the soft Meir-Keeler type functions on a complete soft metric space. Our results generalize many recent fixed point results in the literature.Article Citation - WoS: 20Citation - Scopus: 25Fixed Point Results for the Α-Meir Contraction on Partial Hausdorff Metric Spaces(Springeropen, 2013) Chen, Chi-Ming; Karapinar, ErdalThe 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.Article Citation - WoS: 5Citation - Scopus: 8On the Meir-Keeler Set Contractions(int Scientific Research Publications, 2016) Chen, Chi-Ming; Karapinar, Erdal; Chen, Guang-TingThis report is aim to investigate the fixed points of two classes of Meir-Keeler-Khan set contractions with respect to the measure of noncompactness. The proved results extend a number of recently announced theorems on the topic. (C) 2016 All rights reserved.Editorial Advances on Multivalued Operators and Related Fixed Point Problems(Hindawi Publishing Corporation, 2014) Chen, Chi-Ming; Karapinar, Erdal; Du, Wei-Shih; Aydi, Hassen; Romaguera, Salvador[No Abstract Available]
