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ISSN : 1226-0657
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Vol.31 No.3
Abstract
The main aim of this article is to present new fixed point results concerning existence of selection for a multivalued map on hyperconvex product space taking values on bounded, externally hyperconvex subsets under some appropriate hypothesis. Our results are significant extensions of some pioneering results in the literature, in particular M. A. Khamsi, W. A. Krik and Carlos Martinez Yanez, have proved the existence of single valued selection of a lipschitzian multi-valued map on hyperconvex space. Some suitable examples are also given to support and understand the applicability of our results.
Abstract
Aim is to present fixed point theorems for contractive mappings in the settings of partial metric spaces equipped with graph. To substantiate the claims and importance of newly obtained fixed point results, we present an application and non-trivial examples. In the light of an application, we ensure the existence of a solution of the linear integral equation via fixed point results. In this way, we generalize, extend and modify some important recent fixed point results of the existing literature, that is, in the settings of partial metric spaces equipped with graph.
Abstract
In this paper, by using fixed point techniques, we establish some common fixed point theorems for mappings satisfying an α-ψ-φ-contractive condition in generalized tripled metric space. Finally, we give an example to illustrate our main outcome.
Abstract
The probabilistic metric space as one of the important generalizations of metric space, was introduced by Menger [16] in 1942. Later, Choi et al. [6] initiated the notion of bicomplex-valued metric spaces (bi-CVMS). Recently, Bhattacharyya et al. [3] linked the concept of bicomplex-valued metric spaces and menger spaces, and initiated menger space with bicomplex-valued metric. Here, in this paper, we have taken probabilistic metric space with bicomplex-valued metric, i.e., bicomplexvalued probabilistic metric space and proved some common fixed point theorems using converse commuting mappings in this space.
Abstract
This article presents the above and below bounds for Midpoint and Trapezoid types inequalities for ψ-Hilfer fractional integrals with the assistance of the functions whose second derivatives are bounded. We also possess some extensions and generalizations of Hermite–Hadamard inequalities via ψ-Hilfer fractional integrals with the aid of the functions that have the conditions that will said.
Abstract
The main aim of this research article is to establish some coincidence point theorem for G-non-decreasing mappings under Geraghty-type contraction on partially ordered metric spaces. Furthermore, we derive some multidimensional results with the help of our unidimensional results. Our results improve and generalize various well-known results in the literature.
Abstract
In this paper, some best proximity points results for ψ-φ-contractions on complete metric spaces are proved. These results extend and generalize some best proximity and fixed point results on complete metric spaces. An example and some corollaries are provided that demonstrate the results proved herein.