Geodesic
Relation theoretic fixed point results for multivalued mappings in rectangular $b$-metrics spaces
Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1.

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In this paper, we introduce the concepts of $\mathcal{R}$-completeness and weak $\mathcal{R^{\neq}}$-preserving mapping and employ them to prove some fixed point results for multi-valued mappings satisfying an implicit relation in rectangular $b$-metric spaces. We also deduce a fixed point result for the same in rectangular $b$-metric spaces endowed with graph $\mathcal{G}$. Furthermore, we adopt some examples to exhibit the utility of our definitions and results.
Publié le :
DOI : 10.30755/NSJOM.09280
Classification : 54H25, 47H10, 26D20, 33B30
Keywords: rectangular $b$-metric space, multi-valued mapping, binary relation, preserving mappings, $\mathcal{R}$-completeness, graph theory 
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     title = {Relation theoretic fixed point results for multivalued mappings in rectangular $b$-metrics spaces},
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Mohammad Imdad; Atiya Perveen. Relation theoretic fixed point results for multivalued mappings in rectangular $b$-metrics spaces. Novi Sad Journal of Mathematics, Tome 51 (2021) no. 1. doi : 10.30755/NSJOM.09280. http://geodesic.mathdoc.fr/articles/10.30755/NSJOM.09280/

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