On fixed point results for α_∗- ψ- dominated fuzzy contractive mappings with graph

Article type: Research Article

Authors: Shazad, Aqeel^a | Rasham, Tahair^{b; *} | Marino, Giuseppe^c | Shoaib, Abdullah^a

Affiliations: [a] Department of Mathematics and Statistics,Riphah International University, Islamabad,Pakistan | [b] Department of Mathematics,International Islamic University, H-10, Islamabad | [c] Universita della Calabria, Dipartimento di Matematica e Informatica, Arcavacata di Rende (CS),Italy

Correspondence: [*] Corresponding author. Tahair Rasham, Department of Mathematics, International Islamic University, H-10, Islamabad - 44000, Pakistan. E-mail:tahir_resham@yahoo.com.

Abstract:  The purpose of this article is to establish fixed point results for a pair of α∗-dominated fuzzy mappings fulfilling generalized locally new α∗- ψ-Ćirić type rational contractive conditions on a closed ball in complete dislocated metric spaces. Example and application are given to demonstrate the novelty of our results. Our results extend several comparable results in the existing literature.

Keywords: Fixed point, complete dislocated metricspace, α_∗-dominated mapping, α_∗- ψ-Ćirić type rational contraction, graphic contraction, fuzzy mappings

Keywords: 46S40, 47H10, 54H25

DOI: 10.3233/JIFS-191020

Journal: Journal of Intelligent & Fuzzy Systems, vol. 38, no. 3, pp. 3093-3103, 2020