The fixed-point index of nonlinear operators in Menger PN-spaces

DOI10.1134/S0001434611070108zbMath1264.47064MaRDI QIDQ764017

Chuan-Xi Zhu, Qiu-Ying Li

Publication date: 13 March 2012

Published in: Mathematical Notes (Search for Journal in Brave)

zbMATH Keywords

fixed point indexdistribution functionprobabilistic metric spacecompact continuityMenger PN-spaceT-retraction

Mathematics Subject Classification ID

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

Cites Work

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• Inequalities and solution of an operator equation
• Topological degree theory and fixed point theorems in probabilistic metric spaces
• Some theorems in the X-M-PN space
• Generalizations of Krasnoselskii's theorem and Petryshyn's theorem
• Calculations of random fixed point index
• Several nonlinear operator problems in the Menger PN space
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
• Generalized contraction mapping principle and differential equations in probabilistic metric spaces

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