Browsing by Author "Aydi,H."

Now showing 1 - 9 of 9

Citation - Scopus: 3
Coincidence Points for Expansive Mappings Under C-Distance in Cone Metric Spaces
(2012) Aydi,H.; Karapinar,E.; Moradi,S.; Mathematics
We establish some fixed (common fixed) and coincidence point results for mappings verifying some expansive type contractions in cone metric spaces with the help of the concept of a c-distance. Our results generalize, extend, and unify several well-known comparable results in the literature. Some examples are also presented. Copyright © 2012 Hassen Aydi et al.
Citation - Scopus: 200
A common fixed point for weak øcontractions on b-metric spaces
(2012) Aydi,H.; Bota,M.-F.; Karapinar,E.; Moradi,S.; Mathematics
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.
Citation - Scopus: 9
A Fixed Point Result for Boyd-Wong Cyclic Contractions in Partial Metric Spaces
(2012) Aydi,H.; Karapinar,E.; Mathematics
A fixed point theorem involving Boyd-Wong-type cyclic contractions in partial metric spaces is proved. We also provide examples to support the concepts and results presented herein. Copyright © 2012 Hassen Aydi and Erdal Karapinar.
Citation - Scopus: 53
Fixed Point Results for Generalized Α-Ʋ in Metric-Like Spaces and Applications
(Texas State University - San Marcos, 2015) Aydi,H.; Karapinar,E.; Mathematics
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.
On Ekeland’s Variational Principle in Partial Metric Spaces
(Natural Sciences Publishing, 2015) Aydi,H.; Karapınar,E.; Vetro,C.; Mathematics
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
Citation - Scopus: 22
On Ekeland's Variational Principle in Partial Metric Spaces
(Natural Sciences Publishing Co., 2015) Aydi,H.; Karapinar,E.; Vetro,C.; Mathematics
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.
Citation - Scopus: 53
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.; Mathematics
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.
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.; Mathematics
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.
Citation - Scopus: 12
Some tripled coincidence point theorems for almost generalized contractions in ordered metric spaces
(2013) Aydi,H.; Karapinar,E.; Mustafa,Z.; Mathematics
In this paper, we prove tripled coincidence and common fixed point theorems for F : X × X × X → X and g : X → X satisfying almost generalized contractions in partially orderedmetric spaces. The presented results generalize the theoremof Berinde and Borcut [Tripled fixed point theorems for contractive typemappings in partially orderedmetric spaces, Nonlinear Anal. 74 (15) (2011) 4889-4897]. Also, some examples are presented.