Contractive definitions and discontinuity at fixed point

DOI10.4995/agt.2017.6713zbMath1422.54051OpenAlexW2604733321MaRDI QIDQ2974451

Ravindra Kishor Bisht, Rajendra Pant

Publication date: 7 April 2017

Published in: Applied General Topology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4995/agt.2017.6713

zbMATH Keywords

fixed pointorbital continuity\((\epsilon-\delta)\) contractionspower contraction

Mathematics Subject Classification ID

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

Related Items (12)

Common fixed point for some generalized contractive mappings in a modular metric space with a graph ⋮ On the problem of discontinuity at fixed point ⋮ A new solution to the Rhoades' open problem with an application ⋮ New results on discontinuity at fixed point ⋮ Interpolative contractions and discontinuity at fixed point ⋮ Fixed ellipse theorems in metric spaces and an application of discontinuous activation function in neural networks ⋮ Analytical Meir-Keeler type contraction mappings and equivalent characterizations ⋮ New discontinuity results at fixed point on metric spaces ⋮ Some fixed-circle theorems and discontinuity at fixed circle ⋮ Unnamed Item ⋮ Caristi type and meir-keeler type fixed point theorems ⋮ An overview of the emergence of weaker continuity notions, various classes of contractive mappings and related fixed point theorems

Cites Work

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• A remark on discontinuity at fixed point
• Common fixed point theorems for some families of maps
• Equivalent conditions and the Meir-Keeler type theorems
• Discontinuity and fixed points
• A theorem on contraction mappings
• A Comparison of Various Definitions of Contractive Mappings
• On Nonlinear Contractions
• Some Results on Fixed Points--II
• Some Remarks Concerning Contraction Mappings

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