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  • Article
    Citation - WoS: 78
    Citation - Scopus: 63
    Discussion on Some Coupled Fixed Point Theorems
    (Springer international Publishing Ag, 2013) Samet, Bessem; Karapinar, Erdal; Aydi, Hassen; Rajic, Vesna Cojbasic
    In this paper, we show that, unexpectedly, most of the coupled fixed point theorems (on ordered metric spaces) are in fact immediate consequences of well-known fixed point theorems in the literature. MSC: 47H10, 54H25.
  • 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: 25
    Citation - Scopus: 32
    Remarks on Some Recent Fixed Point Theorems
    (Springer international Publishing Ag, 2012) Aydi, Hassen; Karapinar, Erdal; Samet, Bessem
    The purpose of this article is to show that some recent fixed point theorems are particular results of previous existing theorems in the literature. Mathematics Subject Classification 2000: 54H25; 47H10.