PROBABILISTIC ϕ-CONTRACTION IN
b-MENGER SPACES WITH FULLY CONVEX STRUCTURE
Abderrahim Mbarki1, Rachid Oubrahim2
1 ANO Laboratory
National School of Applied Sciences, P.O. Box 669
Mohammed First University Oujda, MOROCCO
2 ANO Laboratory, Faculty of Sciences
Mohammed First University
60000 Oujda, MOROCCO

Abstract

We prove, in $b$-Menger spaces with fully convex structure the existence and uniqueness of fixed point for non-self mappings with nonlinear contractive conditions. We give also an example to validate our results.

Citation details of the article



Journal: International Journal of Applied Mathematics
Journal ISSN (Print): ISSN 1311-1728
Journal ISSN (Electronic): ISSN 1314-8060
Volume: 33
Issue: 4
Year: 2020

DOI: 10.12732/ijam.v33i4.7

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