Convergence of Ishikawa iterates of two mappings in modular function spaces

DOI10.1186/1687-1812-2014-74zbMath1332.47034OpenAlexW2097316582WikidataQ59401333 ScholiaQ59401333MaRDI QIDQ2264191

Abdul Rahim Khan, Afrah A. N. Abdou, Mohamed Amine Khamsi

Publication date: 20 March 2015

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

Full work available at URL: https://doi.org/10.1186/1687-1812-2014-74

zbMATH Keywords

fixed pointnonexpansive mappingOrlicz spacestrict convexityIshikawa iterationsmodular function spacefixed point iteration process\(\rho\)-convergence

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25)

Related Items (1)

Approximating a common fixed point of a finite family of nonlinear mappings in modular function spaces

Cites Work

• Fixed point iteration processes for asymptotic pointwise nonexpansive mapping in modular function spaces
• On asymptotic pointwise nonexpansive mappings in modular function spaces
• Orlicz spaces and modular spaces
• Convexity of Orlicz spaces
• The Dirichlet energy integral and variable exponent Sobolev spaces with zero boundary values
• On asymptotic pointwise contractions in modular function spaces
• Fixed points of quasinonexpansive mappings
• Some geometrical properties and fixed point theorems in Orlicz spaces
• Newtonian spaces: An extension of Sobolev spaces to metric measure spaces
• Advancements in fixed point theory in modular function spaces
• Fixed point theory in modular function spaces
• Regularity results for a class of functionals with non-standard growth
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