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

DOI10.1016/j.jmaa.2004.03.049zbMath1045.47044OpenAlexW2061624505MaRDI QIDQ596764

Baoguo Jia, Shaoyuan Xu

Publication date: 10 August 2004

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.2004.03.049

zbMATH Keywords

fixed pointmixed monotone operatorcone and partial order\(\phi\) concave-(\(-\psi\)) convex operator

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 (9)

Extremal mild solutions of fractional evolution equation with mixed monotone impulsive conditions ⋮ Fixed point theorems of superlinear operators with applications ⋮ A class of \(\varphi\)-concave operators and applications ⋮ \(\alpha\)-\((h,e)\)-convex operators and applications for Riemann-Liouville fractional differential equations ⋮ Some new results for single-valued and multi-valued mixed monotone operators of Rhoades type ⋮ Fixed point theorems of \(\phi\) convex \(-\psi\) concave mixed monotone operators and applications ⋮ New fixed point theorems and applications of mixed monotone operator ⋮ Existence and uniqueness of fixed points for some mixed monotone operators ⋮ Existence of positive solution for fractional differential systems with multipoint boundary value conditions

Cites Work

• New fixed point theorems of mixed monotone operators and applications
• Coupled fixed points of nonlinear operators with applications
• Fixed points of mixed monotone operators with applications
• Existence and uniqueness of positive fixed points for mixed monotone operators and applications
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