\(\Phi\)-contractor and the solutions for nonlinear operator equations in fuzzy normed spaces

DOI10.1016/S0165-0114(00)00016-6zbMath1008.47070OpenAlexW2075509463MaRDI QIDQ5947576

Guian Song, Jin-Xuan Fang

Publication date: 10 February 2002

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0165-0114(00)00016-6

zbMATH Keywords

existenceuniqueness\(\Phi\)-contractorfuzzy normed spacenonlinear operator equations

Mathematics Subject Classification ID

Fuzzy operator theory (47S40)

Related Items (8)

Resonance theorems for family of quasi-homogeneous operators in fuzzy normed linear spaces ⋮ On set-valued nonlinear equations in Menger probabilistic normed spaces ⋮ On \(I\)-topology generated by fuzzy norm ⋮ A new \(I\)-vector topology generated by a fuzzy norm ⋮ On generalized fuzzy normed spaces and coincidence point theorems ⋮ A couple of nonlinear equations with fuzzy mappings in fuzzy normed spaces ⋮ Fixed point theorems in generating spaces of quasi-norm family and applications ⋮ Fuzzy Bounded Linear Operator in Fuzzy Normed Linear Spaces and its Fuzzy Compactness

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• Random contractors with random nonlinear majorant functions
• Solution of random operator equations by random step-contractors
• Random contractors and the solution of random nonlinear equations
• On fuzzy metric spaces

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