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Article Citation - WoS: 4Citation - Scopus: 3Existence of solutions of integral equations via fixed point theorems(Springeropen, 2014) Gulyaz, Selma; Erhan, Inci M.Existence and uniqueness of fixed points of a mapping defined on partially ordered G-metric spaces is discussed. The mapping satisfies contractive conditions based on certain classes of functions. The results are applied to the problems involving contractive conditions of integral type and to a particular type of initial value problems for the nonhomogeneous heat equation in one dimension. This work is a generalization of the results published recently in (Gordji et al. in Fixed Point Theory Appl. 2012:74, 2012, doi:10.1186/1687-1812-2012-74) to G-metric space.Article Citation - WoS: 4Citation - Scopus: 3Boundary Value Problems on Half-Line for Second-Order Nonlinear Impulsive Differential Equations(Wiley, 2018) Akgol, S. D.; Zafer, A.We obtain sufficient conditions for existence and uniqueness of solutions of boundary value problems on half-line for a class of second-order nonlinear impulsive differential equations. Our technique is different than the traditional ones, as it is based on asymptotic integration method involving principal and nonprincipal solutions. Examples are provided to illustrate the relevance of the results.Article On Ekeland’s Variational Principle in Partial Metric Spaces(Natural Sciences Publishing, 2015) Aydi,H.; Karapınar,E.; Vetro,C.In this paper, lower semi-continuous functions are used to extend Ekeland’s variational principle to the class of partial metric spaces. As consequences of our results, we obtain some fixed point theorems of Caristi and Clarke types. © 2015Article Citation - WoS: 35Fixed Point Theorem on Partial Metric Spaces Involving Rational Expressions(Univ Miskolc inst Math, 2013) Karapinar, Erdal; Shatanawi, Wasfi; Tas, KenanWe establish a fixed point theorem involving a rational expression in a complete partial metric space. Our result generalizes a well-known result in (usual) metric spaces. Also, we introduce an example to illustrate the usability of our result.Article Citation - WoS: 67Citation - Scopus: 80Fixed Point Theory for Cyclic (i•-Ψ)(Springer international Publishing Ag, 2011) Karapinar, Erdal; Sadarangani, KishinIn this article, the concept of cyclic (I center dot - psi)-contraction and a fixed point theorem for this type of mappings in the context of complete metric spaces have been presented. The results of this study extend some fixed point theorems in literature. 2000 Mathematics Subject Classification: 47H10;46T99 54H25.
