Fixed Point Results for Multivalued Contractive Mappings Endowed with Graphic Structure

Abstract

The aim of this paper is to introduce the notion of admissible multivalued mappings and to set up fixed point results for such mappings fulfilling generalized locallyĆirić type rational-contractive conditions on a closed ball in complete dislocated -metric space. Example and application have been given to demonstrate the novelty of our results. Our results combine, extend, and infer several comparable results in the existing literature.

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

“…An example which supports the proved results is also given. Moreover, we investigate our results in a better framework of dislocated b-metric space (see [28][29][30]). New results in ordered spaces, partial b-metric space, dislocated metric space, partial metric space, b-metric space, and metric space can be obtained as corollaries of our results.…”

Double Controlled Dislocated Quasi-Metric Type Spaces and Some Results

“…Fixed point results of multivalued mappings have applications in engineering, economics, Nash equilibria, and game theory [1][2][3][4]. Due to its importance, many interesting results have been proved in the setting of multivalued mappings, for example, see [5][6][7][8][9][10][11][12][13][14].…”

Modified Suzuki-Simulation Type Contractive Mapping in Non-Archimedean Quasi Modular Metric Spaces and Application to Graph Theory

“…Now, motivated by [24][25][26], we generate a new contraction and obtain fixed point results using a graph structure. Definition 14.…”