Fixed point theorems of \(\phi\) convex \(-\psi\) concave mixed monotone operators and applications

DOI10.1016/j.jmaa.2007.07.061zbMath1133.47041OpenAlexW1979267789MaRDI QIDQ2465857

Mei-Yu Zhang

Publication date: 10 January 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2007.07.061

zbMATH Keywords

fixed pointsmixed monotone operator\(\phi\) convexity\(\psi\) concavity

Mathematics Subject Classification ID

Monotone operators and generalizations (47H05) Fixed-point theorems (47H10) Convexity of real functions of several variables, generalizations (26B25)

Related Items (3)

Some new results for single-valued and multi-valued mixed monotone operators of Rhoades type ⋮ Existence and uniqueness of fixed points for some mixed monotone operators ⋮ A new type of fixed point theorem in metric spaces

Cites Work

• Unnamed Item
• Fixed-point theorems of \(\phi\) concave-(\(-\psi\)) convex mixed monotone operators and applications
• New fixed point theorems of mixed monotone operators and applications
• Fixed point theorems for a class of mixed monotone operators
• Coupled fixed points of nonlinear operators with applications
• Existence and uniqueness of positive fixed points for mixed monotone operators and applications

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