Bifurcation points and asymptotic bifurcation points of nonlinear operators in M-PN spaces

DOI10.1016/J.NA.2009.03.068zbMath1178.47058OpenAlexW2012860249MaRDI QIDQ838110

San-Hua Wang, Chuan-Xi Zhu, Qiu-Ying Li

Publication date: 21 August 2009

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2009.03.068

zbMATH Keywords

topological degreebifurcation pointasymptotic bifurcation pointintrinsic valueMenger-PN space (Menger probabilistic metric normed space)

Mathematics Subject Classification ID

Abstract bifurcation theory involving nonlinear operators (47J15) Bifurcation theory of functional-differential equations (34K18) Operator theory in probabilistic metric linear spaces (47S50)

Related Items (1)

Some new coupled coincidence point and coupled fixed point results in partially ordered metric-like spaces and an application

Cites Work

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• Topological degree theory and fixed point theorems in probabilistic metric spaces
• Some theorems in the X-M-PN space
• Some problems in the \(\mathbb{Z}\)-\(\mathbb{C}\)-\(X\) space
• Some new fixed point theorems in probabilistic metric spaces
• Generalizations of Krasnoselskii's theorem and Petryshyn's theorem
• Several nonlinear operator problems in the Menger PN space

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