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Article Citation - WoS: 21Citation - Scopus: 22Suzuki-Edelstein Type Contractions Via Auxiliary Functions(Hindawi Ltd, 2013) Salimi, Peyman; Karapinar, ErdalWe prove the existence and uniqueness of a fixed point of certain type mapping, extension of Suzuki-Edelstein mapping, in a partially ordered complete metric space. Our results extend, improve, and generalize the existence results on the topic in the literature. We state some examples to illustrate our results.Article Citation - WoS: 10Citation - Scopus: 11Fixed Point Theorems Via Auxiliary Functions(Hindawi Publishing Corporation, 2012) Karapinar, Erdal; Salimi, PeymanWe prove new fixed point theorems in the framework of partially ordered metric spaces. The main result is an extension and a generalization of many existing results in the literature. An example is also considered to illustrate the main result.Article Citation - WoS: 23Citation - Scopus: 35A new approach to G-metric and related fixed point theorems(Springer, 2013) Asadi, Mehdi; Karapinar, Erdal; Salimi, PeymanVery recently, Samet et al. and Jleli and Samet reported that most of fixed point results in the context of G-metric space, defined by Sims and Zead, can be derived from the usual fixed point theorems on the usual metric space. In this paper, we state and prove some fixed point theorems in the framework of G-metric space that cannot be obtained from the existence results in the context of associated metric space.Article Citation - WoS: 12Citation - Scopus: 14Some Fixed Point Results in gp-metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Salimi, PeymanFollowing a recent paper of Zand and Nezhad (2011), we establish some fixed point results in GP-metric spaces. The presented theorems generalize and improve several existing results in the literature. Also, some examples are presented.
