Fixed and best proximity points for Kannan cyclic contractions in modular function spaces

DOI10.1007/s11784-017-0459-4zbMath1493.47069OpenAlexW2733735578MaRDI QIDQ1684895

Atanas Ilchev, Boyan Zlatanov

Publication date: 12 December 2017

Published in: Journal of Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11784-017-0459-4

zbMATH Keywords

fixed pointintegral operatorOrlicz spacebest proximity pointmodular function space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Fixed-point and coincidence theorems (topological aspects) (54H25) Volterra integral equations (45D05) Modular spaces (46A80)

Related Items (7)

Fixed point results for \(C\)-class functions in modular metric spaces ⋮ Approximating distance between sets by multivalued coupling with application to uniformly convex Banach spaces ⋮ Unnamed Item ⋮ Generalized enriched cyclic contractions with application to generalized iterated function system ⋮ Reaching Takahashi-type nonexpansive operators via modular structures with application to best proximity point ⋮ Best proximity points in \(\mathcal{F}\)-metric spaces with applications ⋮ Some globally stable fixed points in \(b\)-metric spaces

Cites Work

• Best proximity points in modular function spaces
• Existence and convergence of best proximity points
• Some geometrical properties and fixed point theorems in Orlicz spaces
• Advancements in fixed point theory in modular function spaces
• Semi-normal structure and best proximity pair results in convex metric spaces
• Fixed Point Theory in Modular Function Spaces
• Fixed point theory in modular function spaces
• On modular spaces
• A Comparison of Various Definitions of Contractive Mappings
• Proximinal Retracts and Best Proximity Pair Theorems
• Some Results on Fixed Points--II
• Proximal normal structure and relatively nonexpansive mappings
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