A remark on asymptotic regularity and fixed point property

DOI10.2298/FIL1914665BzbMath1491.54059OpenAlexW3006965499MaRDI QIDQ5863984

Ravindra Kishor Bisht

Publication date: 3 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil1914665b

zbMATH Keywords

fixed pointasymptotic regularitydiscontinuous mapping

Mathematics Subject Classification ID

Complete metric spaces (54E50) Fixed-point and coincidence theorems (topological aspects) (54H25) Special maps on metric spaces (54E40)

Related Items (4)

Fixed point theorems for hybrid multi-valued mappings without using the Pompeiu-Hausdorff distance ⋮ Alternative proofs of some classical metric fixed point theorems by using approximate fixed point sequences ⋮ Convexity and boundedness relaxation for fixed point theorems in modular spaces ⋮ Asymptotic regularity, fixed points and successive approximations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Some fixed point generalizations are not real generalizations
• A new continuity condition and fixed point theorems with applications
• Common fixed points for asymptotically regular mappings
• New fixed point theorems for asymptotically regular multi-valued maps
• A fixed point theorem for generalized contraction map
• Common fixed points of noncommuting mappings
• Fixed point theorems for Kannan type mappings
• Discontinuity and fixed points
• A note on the fixed point theorem of Górnicki
• A theorem on contraction mappings
• Remarks on asymptotic regularity and fixed points
• New coincidence and common fixed point theorems
• A Generalization of Banach's Contraction Principle
• Commuting Mappings and Fixed Points
• A Comparison of Various Definitions of Contractive Mappings
• A REMARK ON CONVERGENCE THEORY FOR ITERATIVE PROCESSES OF PROINOV CONTRACTION
• Orbital continuity and fixed points
• Proinov contractions and discontinuity at fixed point
• The solution by iteration of nonlinear functional equations in Banach spaces
• A Coincidence Theorem
• Commuting Functions with No Common Fixed Point
• On Common Fixed Points of Commuting Continuous Functions on an Interval
• On Nonlinear Contractions
• Some Results on Fixed Points--II
• Some Remarks Concerning Contraction Mappings
• Fixed point theorems in metric spaces

This page was built for publication: A remark on asymptotic regularity and fixed point property