Fixed Point Results for the Family of Multivalued F-Contractive Mappings on Closed Ball in Complete Dislocated b-Metric Spaces

Mahmood, Qasim; Shoaib, Abdullah; Rasham, Tahair; Arshad, Muhammad

doi:10.3390/math7010056

Cited by 24 publications

(10 citation statements)

References 23 publications

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“…Applications of two different types of Volterra type nonlinear integral inclusions and dynamic process are presented. Our results generalized and extended many recent fixed point results of Rasham et al [24,27,28], Wardowski's result [39], Ameer et al [7], and many classical results in the current literature (see [15,21,23,31,32]).…”

Section: Discussionsupporting

confidence: 88%

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Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces

et al. 2021

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This paper is devoted to finding out some realization of the concept of b-metric like space. First, we attain a fixed point for two fuzzy mappings satisfying a suitable requirement of contractiveness. Subsequently, we apply such a result to graphic contractions. Also, we attain a unique solution for a system of integral equations, and lastly we give an application to ensure that there exists a common bounded solution of a suitable functional equation in dynamic programming.

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Section: Discussionsupporting

confidence: 88%

“…After this Rasham et al [27] obtained some multivalued fixed point achievements for pairs of F-contractive maps. Mehmood et al [24] proved some upshot for a collection of multivalued F-contractive maps and applied this result to a system of nonlinear integral equations. We give the following definitions that we will use from now on.…”

Section: Introductionmentioning

confidence: 99%

Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces

et al. 2021

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“…We introduced the concept of a pair of graph-dominated mappings and given a fixed-point existence result of a fixed point for graphic contractions. Our results generalized and extended many recent fixed-point results of Rasham et al [16,20], Wordowski's result [28], Ameer et al [6] and many classical results in the current literature (see [4,7,9,13,17,18,23,24]).…”

Section: Discussionsupporting

confidence: 89%

Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph

2019

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Recently, George et al. (in Georgea, R.; Radenovicb, S.; Reshmac, K.P.; Shuklad, S. Rectangular b-metric space and contraction principles. J. Nonlinear Sci. Appl. 2015, 8, 1005–1013) furnished the notion of rectangular b-metric pace (RBMS) by taking the place of the binary sum of triangular inequality in the definition of a b-metric space ternary sum and proved some results for Banach and Kannan contractions in such space. In this paper, we achieved fixed-point results for a pair of F-dominated mappings fulfilling a generalized rational F-dominated contractive condition in the better framework of complete rectangular b-metric spaces complete rectangular b-metric spaces. Some new fixed-point results with graphic contractions for a pair of graph-dominated mappings on rectangular b-metric space have been obtained. Some examples are given to illustrate our conclusions. New results in ordered spaces, partial b-metric space, dislocated metric space, dislocated b-metric space, partial metric space, b-metric space, rectangular metric spaces, and metric space can be obtained as corollaries of our results.

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“…Some applications were also discussed by them. For more results, see [5,7,14,15,23,26,27]. In this article, we introduce function weighted L-R-complete dislocated quasi-metric spaces and obtain fixed point results for multivalued mappings satisfying generalized rational type F-contraction in such spaces without the second condition (F2) and the third condition (F3) imposed on Wardowski's function [38].…”

Section: Introductionmentioning

confidence: 99%

Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application

et al. 2021

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The objective of this article is to introduce function weighted L-R-complete dislocated quasi-metric spaces and to present fixed point results fulfilling generalized rational type F-contraction for a multivalued mapping in these spaces. A suitable example confirms our results. We also present an application for a generalized class of nonlinear integral equations. Our results generalize and extend the results of Karapınar et al. (IEEE Access 7:89026–89032, 2019).

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Fixed Point Results for the Family of Multivalued F-Contractive Mappings on Closed Ball in Complete Dislocated b-Metric Spaces

Cited by 24 publications

References 23 publications

Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces

Fixed point results for a pair of fuzzy mappings and related applications in b-metric like spaces

Fixed Points for a Pair of F-Dominated Contractive Mappings in Rectangular b-Metric Spaces with Graph

Fixed point results for rational contraction in function weighted dislocated quasi-metric spaces with an application

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