Browsing by Author "Chen, Chi-Ming"

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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]
Citation - WoS: 4
Citation - Scopus: 4
Common Periodic Soft Points of the Asymptotic Sequences in Soft Metric Spaces
(Yokohama Publ, 2017) Chen, Chi-Ming; Karapinar, Erdal; Mathematics
The 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.
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.
Citation - WoS: 15
Fixed Point Results for Various Α-Admissible Contractive Mappings on Metric-Like Spaces
(Hindawi Ltd, 2014) Al-Mezel, Saleh A.; Chen, Chi-Ming; Karapinar, Erdal; Rakocevic, Vladimir
We establish some fixed point theorems for alpha-admissible mappings in the context of metric-like space via various auxiliary functions. In particular, we prove the existence of a fixed point of the generalized Meir-Keeler type alpha-phi-contractive self-mapping.. defined on a metric- like space X. The given results generalize, improve, and unify several fixed point theorems for the generalized cyclic contractive mappings that have appeared recently in the literature.
Citation - WoS: 11
Citation - Scopus: 14
The 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, Erdal
We 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.
Citation - WoS: 7
ON (α-φ)-MEIR-KEELER CONTRACTIONS ON PARTIAL HAUSDORFF METRIC SPACES
(Univ Politehnica Bucharest, Sci Bull, 2018) Chen, Chi-Ming; Karapinar, Erdal; O'Regan, Donal
In this note we introduce the concept of a (alpha-phi)-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.
Citation - WoS: 4
Citation - Scopus: 7
On the Meir-Keeler Set Contractions
(int Scientific Research Publications, 2016) Chen, Chi-Ming; Karapinar, Erdal; Chen, Guang-Ting
This 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.
Citation - WoS: 1
Citation - Scopus: 18
Periodic Points of Weaker Meir-Keeler Contractive Mappings on Generalized Quasimetric Spaces
(Hindawi Publishing Corporation, 2014) Lin, Ing-Jer; Chen, Chi-Ming; Karapinar, Erdal
By 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.
Citation - WoS: 1
Some Fixed Point Results Via Measure of Noncompactness
(int Scientific Research Publications, 2017) Chen, Chi-Ming; Karapinar, Erdal
In this paper, by using the measure of noncompactness and Meir-Keeler type mappings, we prove some new fixed point theorems for some certain mappings, namely, the weaker phi-Meir-Keeler type contractions, asymptotic weaker phi-Meir-Keeler type contractions, asymptotic sequence {phi(i)}-Meir-Keeler type contraction, xi-generalized comparison type contraction, and R-functional type psi-contractions. Our results improve and hence cover the well-known Darbo's fixed point theorem, and several related recent fixed point results. (C) 2017 All rights reserved.