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  • Article
    Citation - WoS: 29
    Citation - Scopus: 42
    Mixed g-monotone Property and Quadruple Fixed Point Theorems in Partially Ordered Metric Spaces
    (Springer international Publishing Ag, 2012) Mustafa, Zead; Aydi, Hassen; Karapinar, Erdal
    In 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: 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.
  • Article
    Citation - WoS: 21
    Citation - Scopus: 22
    Quadruple Fixed Point Theorems Under Nonlinear Contractive Conditions in Partially Ordered Metric Spaces
    (Hindawi Ltd, 2012) Karapinar, Erdal; Shatanawi, Wasfi; Mustafa, Zead
    We 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.