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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.
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.