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Article Citation - Scopus: 54On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences(Lithuanian Association of Nonlinear Analysts, 2015) Aydi,H.; Jellali,M.; Karapınar,E.In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented. © Vilnius University, 2016.Article On Fixed Point Results for Α-Implicit Contractions in Quasi-Metric Spaces and Consequences(Lithuanian Association of Nonlinear Analysts, 2015) Aydi,H.; Jellali,M.; Karapınar,E.In this paper, we prove some fixed point results involving α-implicit contractions in quasi-metric spaces. Moreover, we provide some known results on G-metric spaces. An example and an application on a solution of a nonlinear integral equation are also presented. © Vilnius University, 2016.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 - Scopus: 54Fixed Point Results for Generalized Α-Ʋ in Metric-Like Spaces and Applications(Texas State University - San Marcos, 2015) Aydi,H.; Karapinar,E.In this article, we introduce the concept of generalized α- ʋ -con- traction in the context of metric-like spaces and establish some related fixed point theorems. As consequences, we obtain some known fxed point results in the literature. Some examples and an application on two-point boundary value problems for second order differential equation are also considered. © 2015 Texas State University - San Marcos.Article Citation - Scopus: 22On Ekeland's Variational Principle in Partial Metric Spaces(Natural Sciences Publishing Co., 2015) Aydi,H.; Karapinar,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. © 2015 NSP.Article Citation - Scopus: 206A common fixed point for weak øcontractions on b-metric spaces(2012) Aydi,H.; Bota,M.-F.; Karapinar,E.; Moradi,S.In this paper, we give a common fixed point result for single-valued and multi-valued mappings satisfying a weak Øcontraction in b-metric spaces. Presented theorems extend, generalize and improve some existing results in the literature. Some examples are also given.
