A fixed point theorem and its application to integral equations in modular function spaces

DOI10.1090/S0002-9939-99-05546-XzbMath0928.46005OpenAlexW1840033310MaRDI QIDQ4699530

E. Hanebaly, A. Ait Taleb

Publication date: 17 November 1999

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-99-05546-x

zbMATH Keywords

fixed point theoremnonlinear integral equationmodular spacesMusielak-Orlicz space

Mathematics Subject Classification ID

Spaces of measurable functions ((L^p)-spaces, Orlicz spaces, Köthe function spaces, Lorentz spaces, rearrangement invariant spaces, ideal spaces, etc.) (46E30) Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Modular spaces (46A80)

Related Items (14)

Fixed point theorems for new J-type mappings in modular spaces ⋮ Unnamed Item ⋮ Advancements in fixed point theory in modular function spaces ⋮ The Meir-Keeler fixed point theorem in incomplete modular spaces with application ⋮ A Pata-type fixed point theorem in modular spaces with application ⋮ Fixed point theorems and periodic problems for nonlinear Hill's equation ⋮ Unnamed Item ⋮ Expansive mappings and their applications in modular space ⋮ Fixed point theorems for contractive mappings and Ciric-Maiti-Pal orbit mappings of contractive type in re-defined generalized metric spaces ⋮ Fixed points of nonlinear and asymptotic contractions in the modular space ⋮ Fixed points of modular contractive maps ⋮ Krasnosel'skii type fixed point theorems for mappings on nonconvex sets ⋮ On the fixed points of correspondences in modular spaces ⋮ Convexity and boundedness relaxation for fixed point theorems in modular spaces

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