Relation theoretic fixed point results for multivalued mappings in rectangular $b$-metrics spaces

DOI10.30755/NSJOM.09280zbMath1484.54042OpenAlexW4285665710MaRDI QIDQ5862350

Atiya Perveen, Mohammad Imdad

Publication date: 9 March 2022

Published in: Novi Sad Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.30755/nsjom.09280

zbMATH Keywords

graph theorybinary relationmulti-valued mappingrectangular \(b\)-metric spacepreserving mappings\( \mathcal{R} \)-completeness

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Other analytical inequalities (26D20) Higher logarithm functions (33B30)

Cites Work

• Coincidence point theorems for graph-preserving multi-valued mappings
• Coincidence point theorems for some multi-valued mappings in complete metric spaces endowed with a graph
• Fixed point result and applications on a \(b\)-metric space endowed with an arbitrary binary relation
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• Relation-theoretic contraction principle
• The Banach and Reich contractions in \(b_v(s)\)-metric spaces
• A fixed point theorem of Jungck in \(b_v(s)\)-metric spaces
• Caristi fixed point theorem in metric spaces with a graph
• Fixed point results for set-contractions on metric spaces with a directed graph
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• On an open problem in rectangular b-metric space
• Multi-valued contraction mappings
• Fixed Point Theory in Metric Type Spaces
• Fixed Point Theory in Distance Spaces
• Rectangular b-metric space and contraction principles
• A note on a Banach’s fixed point theorem in b-rectangular metric space and b-metric space
• Unified multi-tupled fixed point theorems involving mixed monotone property in ordered metric spaces
• New fixed point results in b-rectangular metric spaces
• Relation-theoretic metrical coincidence theorems
• The contraction principle for mappings on a metric space with a graph
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