Fixed point theorems on fuzzy normed linear spaces

DOI10.1016/J.INS.2005.07.013zbMath1111.46059OpenAlexW1977825025MaRDI QIDQ2509226

Yanyan Li

Publication date: 19 October 2006

Published in: Information Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.ins.2005.07.013

zbMATH Keywords

fixed pointfuzzy convergencefuzzy compactfuzzy nonexpansive mappingfuzzy normal structureuniformly convex fuzzy normed linear space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Contraction-type mappings, nonexpansive mappings, (A)-proper mappings, etc. (47H09) Fuzzy topology (54A40) Fuzzy functional analysis (46S40) Fuzzy operator theory (47S40)

Related Items (13)

Fuzzy absolute value on a ring ⋮ A comparative study of fuzzy norms on a linear space ⋮ Fuzzy bounded linear operators in Felbin's type fuzzy normed linear spaces ⋮ Some fixed point theorems in fuzzy normed linear spaces ⋮ Tripled fuzzy metric spaces and fixed point theorem ⋮ Some fixed point theorems in fuzzy reflexive Banach spaces ⋮ On convergence of fixed points in G-complete fuzzy metric spaces ⋮ Stabilities of cubic mappings in fuzzy normed spaces ⋮ The fixed point method for fuzzy approximation of a functional equation associated with inner product spaces ⋮ Supremum metric on the space of fuzzy sets and common fixed point theorems for fuzzy mappings ⋮ Fuzzy age-dependent replacement policy and SPSA algorithm based-on fuzzy simulation ⋮ Some fixed point theorems for φ-contractive mappings in fuzzy normed linear spaces ⋮ Fuzzy Normed Linear Spaces

Cites Work

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• On fixed point theorems of Gregori and Sapena
• Topological degree theory and fixed point theorems in fuzzy normed space
• A Fixed Point Theorem for Mappings which do not Increase Distances
• On fuzzy metric spaces
• Fixed point theorems for fuzzy mappings

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