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

DOI10.1007/S11766-012-2930-8zbMath1289.47169OpenAlexW2131127104MaRDI QIDQ377920

Zhaoqi Wu, Chuan-Xi Zhu

Publication date: 19 November 2013

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

Full work available at URL: https://doi.org/10.1007/s11766-012-2930-8

zbMATH Keywords

topological degreeaccretive mapping1-set-contractive perturbation

Mathematics Subject Classification ID

Nonlinear accretive operators, dissipative operators, etc. (47H06) Perturbations of nonlinear operators (47H14) Operator theory in probabilistic metric linear spaces (47S50) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Cites Work

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• Topological degree for 1-set-contractive fields in M-PN spaces and its applications
• 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
• Topological degree theory and fixed point theorems in probabilistic metric spaces
• On the existence of solutions for equations with accretive mappings in probabilistic normed spaces
• 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
• 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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