On concave operators

DOI10.1007/s10114-005-0687-1zbMath1113.47041OpenAlexW2059338174MaRDI QIDQ2508573

Zhandong Liang, Sheng-Jia Li, Wen-Xia Wang

Publication date: 13 October 2006

Published in: Acta Mathematica Sinica. English Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10114-005-0687-1

zbMATH Keywords

fixed pointconcave operatorpartially ordered Banach space

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07)

Related Items

A class of \(\varphi\)-concave operators and applications ⋮ Unique Tarski Fixed Points ⋮ A class of concave operators with applications ⋮ The iterative method of generalized \(u_{0}\)-concave operators ⋮ Unnamed Item ⋮ Fixed point theorems for \(\tau -\varphi \)-concave operators and applications ⋮ Positive solutions for nonlinear operator equations and several classes of applications ⋮ The existence of a fixed point for the sum of two monotone operators

Cites Work

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• Hilbert's metric and positive contraction mappings in a Banach space
• On the number of solutions of nonlinear equations in ordered Banach spaces
• Existence Theorem for a Non-Linear Integral Equation
• On a class of Volterra and Fredholm non-linear integral equations
• APPLICATIONS OF HILBERT'S PROJECTIVE METRIC TO CERTAIN CLASSES OF NON-HOMOGENEOUS OPERATORS
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces

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