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Article Citation - WoS: 60Citation - Scopus: 72Remarks on some coupled fixed point theorems in G-metric spaces(Springer international Publishing Ag, 2013) Agarwal, Ravi P.; Karapinar, ErdalIn this paper, we show that, unexpectedly, most of the coupled fixed point theorems in the context of (ordered) G-metric spaces are in fact immediate consequences of usual fixed point theorems that are either well known in the literature or can be obtained easily.Article Citation - WoS: 78Citation - Scopus: 63Discussion on Some Coupled Fixed Point Theorems(Springer international Publishing Ag, 2013) Samet, Bessem; Karapinar, Erdal; Aydi, Hassen; Rajic, Vesna CojbasicIn 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: 10Citation - Scopus: 9A Coupled Coincidence Point Theorem in Partially Ordered Metric Spaces With an Implicit Relation(Springer international Publishing Ag, 2013) Gulyaz, Selma; Karapinar, Erdal; Yuce, Ilker SavasIn this manuscript, we discuss the existence of a coupled coincidence point for mappings and , where F has the mixed g-monotone property, in the context of partially ordered metric spaces with an implicit relation. Our main theorem improves and extends various results in the literature. We also state some examples to illustrate our work. MSC: 47H10, 54H25, 46J10, 46J15.Article Citation - WoS: 26Citation - Scopus: 19A Note on 'coupled Fixed Point Theorems for α-ψ< Mappings in Partially Ordered Metric Spaces'(Springer international Publishing Ag, 2013) Karapinar, Erdal; Agarwal, Ravi P.In this paper, we show that some examples in (Mursaleen et al. in Fixed Point Theory Appl. 2012:124, 2012) are not correct. Then, we extend, improve and generalize their results. Finally, we state some examples to illustrate our obtained results.Article Citation - WoS: 25Citation - Scopus: 32Remarks on Some Recent Fixed Point Theorems(Springer international Publishing Ag, 2012) Aydi, Hassen; Karapinar, Erdal; Samet, BessemThe 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.Article Citation - WoS: 29Citation - Scopus: 30Coupled fixed point theorems in cone metric spaces with a c-distance and applications(Springer international Publishing Ag, 2012) Karapinar, Erdal; Kumam, Poom; Sintunavarat, WutipholIn this paper, we extend the very recent result of Sintunavarat et al. in the paper 'Coupled fixed point theorems for weak contraction mapping under F-invariant set' (Abstr. Appl. Anal. 2012:324874, 2012). In particular, we give an example of a nonlinear contraction mapping for which our result successfully detects a coupled fixed point in contrast to the result of Sintunavarat et al., which is not applied to show the existence of a coupled fixed point. As a consequence, the main results in this paper extend and unify many results in the topic of coupled fixed points including the results of Sintunavarat et al. Also, some applications of the main results are given. MSC: 54H25, 47H10.
