Approximating fixed points of $\rho$-nonexpansive mappings by RK-iterative process in modular function spaces

DOI10.23952/jnva.3.2019.1.10zbMath1479.47086OpenAlexW4234445268MaRDI QIDQ5244126

Safeer Hussain Khan, Hafiz Fukhar-ud-din

Publication date: 20 November 2019

Published in: Journal of Nonlinear and Variational Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.23952/jnva.3.2019.1.10

zbMATH Keywords

fixed pointnonexpansive mappingconvergence rateiterative processmodular function space

Mathematics Subject Classification ID

Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Numerical solutions to equations with nonlinear operators (65J15) Fixed-point iterations (47J26)

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Reaching Takahashi-type nonexpansive operators via modular structures with application to best proximity point ⋮ Generalized suzuki-type mappings in modular vector spaces ⋮ Unnamed Item ⋮ On convergence theorems for generalized alpha nonexpansive mappings in Banach spaces ⋮ Approximation of fixed points for a class of mappings satisfying property (CSC) in Banach spaces ⋮ Common fixed point theorems for several multivalued mappings on proximinal sets in regular modular space

Cites Work

• Unnamed Item
• Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces
• A new iterative scheme for numerical reckoning fixed points of Suzuki's generalized nonexpansive mappings
• 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 Picard-Mann hybrid iterative process
• Fixed Point Theory in Modular Function Spaces
• Weak and strong convergence to fixed points of asymptotically nonexpansive mappings
• Approximating Fixed Points of Nonexpansive Mappings
• Superiorization of Preconditioned Conjugate Gradient Algorithms for Tomographic Image Reconstruction
• Convergence of RK-iterative process for generalized nonexpansive mappings in CAT(0) spaces

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