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Article Citation - WoS: 27Citation - Scopus: 28Generalized Meir-Keeler Type Contractions on g-metric Spaces(Elsevier Science inc, 2013) Mustafa, Zead; Aydi, Hassen; Karapinar, ErdalIn this manuscript, we introduce generalized Meir-Keeler type contractions over G-metric spaces. Moreover, we show that every orbitally continuous generalized Meir-Keeler type contraction has a unique fixed point on complete G-metric spaces. We illustrate our results by some given examples. (C) 2013 Elsevier Inc. All rights reserved.Article Citation - WoS: 82Citation - Scopus: 87On Common Fixed Points in g-metric Spaces Using (e.a) Property(Pergamon-elsevier Science Ltd, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, ErdalIn this paper, we introduce some new types of pairs of mappings (f, g) on G-metric spaces called G-weakly commuting of type G(f) and G-R-weakly commuting of type G(f). We obtain also several common fixed point results by using the (E.A) property. (c) 2012 Elsevier Ltd. All rights reserved.Article Citation - WoS: 29Citation - Scopus: 42Mixed g-monotone Property and Quadruple Fixed Point Theorems in Partially Ordered Metric Spaces(Springer international Publishing Ag, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, ErdalIn this manuscript, we prove some quadruple coincidence and common fixed point theorems for F : X-4 -> X and g : X -> X satisfying generalized contractions in partially ordered metric spaces. Our results unify, generalize and complement various known results from the current literature. Also, an application to matrix equations is given.Article Citation - WoS: 28Citation - Scopus: 25A Discussion on Generalized Almost Contractions Via Rational Expressions in Partially Ordered Metric Spaces(Springeropen, 2014) Mustafa, Zead; Karapinar, Erdal; Aydi, HassenThe 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.Article Citation - WoS: 19Citation - Scopus: 14Coupled coincidence point results on generalized distance in ordered cone metric spaces(Springer, 2013) Aydi, Hassen; Karapinar, Erdal; Mustafa, ZeadIn this paper, we establish some coupled coincidence point results in the setting of partially ordered cone metric spaces via -distance. We also proved some related coupled common fixed point theorems for such mappings. Our results generalize, extend, and unify several well-known comparable results in the literature regarding this topic. We present some examples to illustrate the concepts and results.Article Citation - WoS: 21Citation - Scopus: 22Quadruple Fixed Point Theorems Under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces(Hindawi Ltd, 2012) Karapinar, Erdal; Shatanawi, Wasfi; Mustafa, ZeadWe prove a number of quadruple fixed point theorems under phi-contractive conditions for a mapping F : X-4 -> X in ordered metric spaces. Also, we introduce an example to illustrate the effectiveness of our results.
