Fixed Point Results for Α-Ψ-Contractive Mappings in Bipolar Metric Spaces (original) (raw)

Fixed point theorems for multivalued mappings on bipolar metric spaces

Fixed Point Theory, 2020

In this article, we introduce concepts of Pompeiu-Hausdorff bipolar metric, multivalued covariant and contravariant contraction mappings in bipolar metric spaces. In addition to these, we express two main fixed point theorems, which are supported with four important corollaries, related to these multivalued mappings. Finally we give an example which presents the applicability of our obtained results.

Locally and Weakly Contractive Principle in Bipolar Metric Spaces

2020

In this article, we introduce concepts of , λ -uniformly locally contractive and weakly contractive mappings, which are generalizations of Banach contraction mapping, in bipolar metric spaces. Also, we express the results showing the existence and uniqueness of fixed point for these mappings. bipolar metric space, -chainable, , λ -uniformly locally contractive, weakly contractive, fixed point.

Coupled Fixed Point Theorems on Bipolar Metric Spaces

European Journal of Pure and Applied Mathematics, 2017

In this article, certain coupled fixed point theorems, which can be considered as generalizations of Banach fixed point theorem, are extended to bipolar metric spaces. Also, some results which are related to these theorems are obtained. Finally, it is given an example which presents to the applicability of obtained results.

Fixed point theorems for partial α−ψ contractive mappings in generalized metric spaces

Journal of Nonlinear Sciences and Applications, 2016

In this paper, we introduce the concept of partial α-ψ contractive mappings along with generalized metric distance. We also establish the existence of fixed point theorems for such mappings in generalized metric spaces. Our results extend and unify main results of Karapinar [E. Karapinar, Abstr. Appl. Anal., 2014 (2014), 7 pages] and several well-known results in literature. We give some examples to illustrate the usability of our results. Moreover, we prove the fixed point results in generalized metric space endowed with an arbitrary binary relation and the fixed point results in generalized metric space endowed with graph.

Bipolar metric spaces and some fixed point theorems

Journal of Nonlinear Sciences and Applications

In this paper we introduce the concept of bipolar metric space as a type of partial distance. We explore the link between metric spaces and bipolar metric spaces, especially in the context of completeness, and prove some extensions of known fixed point theorems.

The common fixed points in a bipolar metric space

Gulf Journal of Mathematics

The purpose of this paper is to obtain a new fixed point theorem in the bipolar metric spaces. The contraction used in our theorem is the extension of Boyd-Wong-type contraction in bipolar metric spaces.

Common Fixed Point Theorems for --Contractive Type Mappings

International Journal of Analysis, 2013

Recently, Samet et al. (2012) introduced the notion ofα-ψ-contractive type mappings. They established some fixed point theorems for these mappings in complete metric spaces. In this paper, we introduce the notion of a coupledα-ψ-contractive mapping and give a common fixed point result about the mapping. Also, we give a result of common fixed points of some coupled self-maps on complete metric spaces satisfying a contractive condition.

Some new fixed point theorems for contractive and nonexpansive mappings

In the present paper, we obtain some new fixed point theorems for set-valued contractive and nonexpansive mappings in the setting of ultrametric spaces. Our theorems complement, generalize and extend some well known results of Petalas and Vidalis [A fixed point theorem in non-Archimedean vector spaces, Proc. Amer. Math. Soc 118(1993), 819-821.], Suzuki [A new type of fixed point theorem in metric spaces, Nonlinear Anal. 71(2009), 5313-5317.] and others.

Some Fixed Point Theorems for (CAB)-contractive Mappings and Related Results

In this paper, we introduced the concept of (CAB)-contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in metric spaces and several interesting corollaries are deduced. Also, as application, we obtain some results on coupled fixed points, fixed point on metric spaces endowed with N-transitive binary relation and fixed point for cyclic mappings. The proved results generalize and extend various well-known results in the literature.