Some fixed point theorems via asymptotic regularity

DOI10.2298/FIL2005621PzbMath1496.54055OpenAlexW3128145213MaRDI QIDQ5089376

Mantu Saha, Sayantan Panja, Kushal Roy, Ravindra Kishor Bisht

Publication date: 19 July 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2005621p

zbMATH Keywords

fixed pointasymptotic regularityorbital continuity\(k\)-continuityĆirić-Proinov-Górnicki-type mapping

Mathematics Subject Classification ID

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

Related Items (3)

Unnamed Item ⋮ Certain fixed point results on \(\mathfrak{U}\)-metric space using Banach orbital contraction and asymptotic regularity ⋮ An overview of the emergence of weaker continuity notions, various classes of contractive mappings and related fixed point theorems

Cites Work

• A remark on discontinuity at fixed point
• Discontinuity and fixed points
• On fixed points of asymptotically regular mappings
• On discontinuity problem at fixed point
• A note on the fixed point theorem of Górnicki
• Remarks on asymptotic regularity and fixed points
• A Generalization of Banach's Contraction Principle
• Generalized Meir-Keeler type contractions and discontinuity at fixed point
• Fixed points and continuity of contractive maps
• A new contribution to discontinuity at fixed point
• The solution by iteration of nonlinear functional equations in Banach spaces
• Some Remarks Concerning Contraction Mappings
• A Generalization of a Fixed Point Theorem of Reich
• Caristi type and meir-keeler type fixed point theorems
• Fixed point theorems in metric spaces
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