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Editorial New Contribution To the Advancement of Fixed Point Theory, Equilibrium Problems, and Optimization Problems(Hindawi Publishing Corporation, 2013) Du, Wei-Shih; Karapinar, Erdal; Lin, Lai-Jiu; Lee, Gue Myung; Tanaka, Tamaki; Karapnar, Erdal[No Abstract Available]Article Citation - WoS: 7Citation - Scopus: 9On Cyclic Generalized Weakly c-contractions on Partial Metric Spaces(Hindawi Ltd, 2013) Karapinar, Erdal; Rakocevic, Vladimir; Karapnar, ErdalWe give new results of a cyclic generalized weakly C-contraction in partial metric space. The results of this paper extend, generalize, and improve some fixed point theorems in the literature.Article Citation - WoS: 20Citation - Scopus: 49Coupled Coincidence Points in Partially Ordered Cone Metric Spaces With a c-distance(Hindawi Ltd, 2012) Shatanawi, Wasfi; Karapinar, Erdal; Aydi, Hassen; Karapnar, ErdalCho et al. (2012) proved some coupled fixed point theorems in partially ordered cone metric spaces by using the concept of a c-distance in cone metric spaces. In this paper, we prove some coincidence point theorems in partially ordered cone metric spaces by using the notion of a c-distance. Our results generalize several well-known comparable results in the literature. Also, we introduce an example to support the usability of our results.Article Citation - WoS: 50Citation - Scopus: 48Some Common Fixed Point Theorems in Partial Metric Spaces(Hindawi Ltd, 2011) Karapinar, Erdal; Yuksel, Ugur; Karapnar, ErdalMany problems in pure and applied mathematics reduce to a problem of common fixed point of some self-mapping operators which are defined on metric spaces. One of the generalizations of metric spaces is the partial metric space in which self-distance of points need not to be zero but the property of symmetric and modified version of triangle inequality is satisfied. In this paper, some well-known results on common fixed point are investigated and generalized to the class of partial metric spaces.Article Citation - WoS: 47Citation - Scopus: 64Tripled Fixed Point Results in Generalized Metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Shatanawi, Wasfi; Karapnar, ErdalWe establish a tripled fixed point result for a mixed monotone mapping satisfying nonlinear contractions in ordered generalized metric spaces. Also, some examples are given to support our result.Article Citation - WoS: 12Citation - Scopus: 15Some Fixed Point Results in gp-metric Spaces(Hindawi Ltd, 2012) Aydi, Hassen; Karapinar, Erdal; Salimi, Peyman; Karapnar, ErdalFollowing 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.
