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Citation - WoS: 7
A New Fixed Point Result Via Property P With an Application
(int Scientific Research Publications, 2017) Mustafa, Zead; Jaradat, M. M. M.; Karapinar, Erdal
The purpose of this paper is to introduce a new contractive condition. We prove the existence and uniqueness of a fixed point of self-mapping under this new contractive condition. Moreover, we observe analog of these results for the mappings that satisfy the property P. An application on integral equations is presented to illustrate the main result. Our results extend and generalize well-known results in the literature. (C) 2017 All rights reserved.
Citation - WoS: 27
Citation - Scopus: 25
A Discussion on Generalized Almost Contractions Via Rational Expressions in Partially Ordered Metric Spaces
(Springeropen, 2014) Mustafa, Zead; Karapinar, Erdal; Aydi, Hassen
The main purpose of this paper is to give some fixed point results for mappings involving generalized (phi, psi)-contractions in partially ordered metric spaces. Our results generalize, extend, and unify several well-known comparable results in the literature (Jaggi in Indian J. Pure Appl. Math. 8(2):223-230, 1977, Harjani et al. in Nonlinear Anal. 71:3403-3410, 2009, Luong and Thuan in Fixed Point Theory Appl. 2011:46, 2011). The presented results are supported by three illustrative examples.