On contractive mappings and discontinuity at fixed points

DOI10.2298/AADM181018007GzbMath1488.54132OpenAlexW3018868847MaRDI QIDQ4988980

Lakshmi Kanta Dey, Hiranmoy Garai, Yeol Je Cho

Publication date: 20 May 2021

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm181018007g

zbMATH Keywords

fixed pointcompact metric spaceorbitally continuous mapping\(\mathcal{A}\)-contraction

Mathematics Subject Classification ID

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

Related Items (5)

On contractive mappings in bv(s)-metric spaces ⋮ \((\psi, \phi)\)-Wardowski contraction pairs and some applications ⋮ Unnamed Item ⋮ On discontinuity at fixed point via power quasi contraction ⋮ 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
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• On Fixed and Periodic Points Under Contractive Mappings
• A Generalization of Banach's Contraction Principle
• A Comparison of Various Definitions of Contractive Mappings
• On Kannan-Type Contractive Mappings
• Fixed points and continuity of contractive maps
• Global convergence of neural networks with discontinuous neuron activations
• On Nonlinear Contractions
• Some Results on Fixed Points--II

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