On some non-linear contractions in modular metric spaces

DOI10.2298/FIL2012971KzbMath1491.54098MaRDI QIDQ5081281

Zoran D. Mitrović, Ankush Chanda, Lakshmi Kanta Dey, Surajit Karmakar

Publication date: 14 June 2022

Published in: Filomat (Search for Journal in Brave)

zbMATH Keywords

modular metric spacesHardy-Roger \(\omega\)-contractive mappingsstrict convex modular

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Cites Work

• Fixed-point theorems for multivalued mappings in modular metric spaces
• Banach's contraction principle for nonlinear contraction mappings in modular metric spaces
• A common fixed point theorem of Jungck in rectangular B-metric spaces
• Orlicz spaces and modular spaces
• Metric modulars and their application
• Modular metric spaces. I: Basic concepts
• Modular metric spaces. II: Application to superposition operators
• On some propertis of functions of generalized variation
• Compatible mapping and common fixed points
• A best proximity point result in modular spaces with the Fatou property
• Common solution to a pair of non-linear matrix equations via fixed point results
• Fixed point of nonlinear contractions in modular spaces
• Geraghty-type theorems in modular metric spaces with an application to partial differential equation
• On modular spaces
• Common Fixed Point Theorems for Commuting Maps on a Metric Space
• Commuting Mappings and Fixed Points
• Modular Metric Spaces
• Fixed point theorems in complete modular metric spaces and an application to anti-periodic boundary value problems
• Meir-Keeler type contractions on modular metric spaces
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