Approximation of fixed point of multivalued ρ-quasi-contractive mappings in modular function spaces

DOI10.1016/J.AJMSC.2019.02.001zbMath1483.47115OpenAlexW2911385094MaRDI QIDQ5009824

Safeer Hussain Khan, Godwin Amechi Okeke

Publication date: 6 August 2021

Published in: Arab Journal of Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ajmsc.2019.02.001

zbMATH Keywords

multivalued mappingsmodular function spaces\(\rho\)-\(T\)-stable \(\rho\)-almost \(T\)-stable\(\rho\)-summably almost \(T\)-stable\(S\)-iterative processapproximation of fixed pointmultivalued \(\rho\)-quasi-contractive mappings

Mathematics Subject Classification ID

Set-valued operators (47H04) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fixed-point iterations (47J26)

Related Items (8)

Fixed point theorems for asymptotically \(T\)-regular mappings in preordered modular \(G\)-metric spaces applied to solving nonlinear integral equations ⋮ Common fixed point theorems in modular metric spaces with applications to nonlinear integral equation of Urysohn type ⋮ Some fixed-point theorems for a general class of mappings in modular G-metric spaces ⋮ Reaching Takahashi-type nonexpansive operators via modular structures with application to best proximity point ⋮ Unnamed Item ⋮ Fixed point theorems in modular \(G\)-metric spaces ⋮ Multistep-type construction of fixed point for multivalued ρ-quasi-contractive-like maps in modular function spaces ⋮ Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modularG-metric spaces

Cites Work

• On rate of convergence of various iterative schemes
• Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces
• Fixed points of multivalued maps in modular function spaces
• Approximating fixed points of \((\lambda ,\rho)\)-firmly nonexpansive mappings in modular function spaces
• Iterative approximation of fixed point of multivalued \(\rho\)-quasi-nonexpansive mappings in modular function spaces with applications
• Approximating fixed points of multivalued \(\rho\)-nonexpansive mappings in modular function spaces
• A solution of delay differential equations via Picard-Krasnoselskii hybrid iterative process
• Fixed points of mappings satisfying contractive condition of integral type in modular spaces endowed with a graph
• Fixed Point Theory in Modular Function Spaces
• Fixed point approximation of multivalued rho-quasi-nonexpansive mappings in modular function spaces
• A CONVERGENCE THEOREM FOR SOME MEAN VALUE FIXED POINT ITERATION PROCEDURES
• Fixed point theorems in metric spaces
• Asymptotically nonexpansive mappings in modular function spaces
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