Fixed Point Results for Multivalued Mapping in $\mathrm{R}$-Metric Space

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:
This paper explores certain fixed point results for multivalued mapping in a metric space endowed with an arbitrary binary relation $\mathrm{R}$, briefly written as $\mathrm{R}$-metric space. The fixed point results proved  are subjected to contraction conditions corresponding to the multivalued counterpart of $F$-contraction and $F$-weak contraction in $\mathrm{R}$-metric space. The main results unify, extend and generalize the results on multivalued and single-valued mapping in the literature. To support the conclusion, several examples have been provided.
Language:
English
Published:
Sahand Communications in Mathematical Analysis, Volume:20 Issue: 2, Spring 2023
Pages:
109 to 121
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