Browsing by Author "Afshari, Hojjat"

Now showing 1 - 3 of 3

Citation - WoS: 101
Citation - Scopus: 105
On Generalized Α - Ψ-Geraghty Contractions on b-metric Spaces
(Walter de Gruyter Gmbh, 2020) Afshari, Hojjat; Aydi, Hassen; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper, we consider generalized alpha - psi-Geraghty contractive type mappings and investigate the existence and uniqueness of a fixed point for mappings involving such contractions. In particular, we extend, improve and generalize some earlier results in the literature on this topic. An application concerning the existence of an integral equation is also considered to illustrate the novelty of the main result.
Citation - WoS: 25
Citation - Scopus: 25
On the Extended Multivalued Geraghty Type Contractions
(int Scientific Research Publications, 2016) Afshari, Hojjat; Alsulami, Hamed H.; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this paper we present some absolute retract results for modified Geraghty multivalued type contractions in b-metric space. Our results, generalize several existing results in the corresponding literature. We also present some examples to support the obtained results. (C) 2016 all rights reserved.
Citation - WoS: 92
Solution of Fractional Differential Equations Via Coupled Fixed Point
(Texas State Univ, 2015) Afshari, Hojjat; Kalantari, Sabileh; Karapinar, Erdal; Mathematics; 02. School of Arts and Sciences; 01. Atılım University
In this article, we investigate the existence and uniqueness of a solution for the fractional differential equation by introducing some new coupled fixed point theorems for the class of mixed monotone operators with perturbations in the context of partially ordered complete metric space.