Topological degree for 1-set-contractive fields in M-PN spaces and its applications

DOI10.1007/S11766-010-2448-XzbMath1229.47144OpenAlexW2101041762MaRDI QIDQ716539

Zhaoqi Wu, Chuan-Xi Zhu

Publication date: 29 September 2011

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-010-2448-x

zbMATH Keywords

topological degreefixed point theorem1-set-contractive operatorPN-space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Degree theory for nonlinear operators (47H11) Operator theory in probabilistic metric linear spaces (47S50) Probabilistic metric spaces (54E70)

Related Items (1)

1-set-contractive perturbations of accretive operators in Menger PN-spaces

Cites Work

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• Research on some problems for nonlinear operators
• New fixed point theorems for 1-set-contractive operators in Banach spaces
• Inequalities and solution of an operator equation
• Some new fixed point theorems in probabilistic metric spaces
• Generalizations of Krasnoselskii's theorem and Petryshyn's theorem
• Fixed point theorems of 1-set-contractive operators in Banach spaces
• Several nonlinear operator problems in the Menger PN space
• Products and quotients of probabilistic metric spaces
• Degree theory for local condensing maps
• Remarks on condensing and \(k\)-set-contractive mappings
• The topological degree of A-proper mapping in the Menger PN-space (I)
• The topological degree of A-proper mapping in the Menger PN-space (II)

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