Fixed point theorems for nonlinear operators with and without monotonicity in partially ordered Banach spaces

DOI10.1155/2010/108343zbMath1202.47059OpenAlexW2082341862WikidataQ59251432 ScholiaQ59251432MaRDI QIDQ2381025

Hui-Sheng Ding, Jin Liang, Ti-Jun Xiao

Publication date: 13 April 2010

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/228334

zbMATH Keywords

Banach spacesfixed point theoremsmixed monotone operators

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 (2)

Existence of positive almost automorphic solutions to a class of integral equations ⋮ Existence of positive pseudo almost periodic solutions to a class of neutral integral equations

Cites Work

• Unnamed Item
• New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation
• Asymptotic pointwise contractions
• Existence of positive almost automorphic solutions to nonlinear delay integral equations
• On fixed point theorems of mixed monotone operators and applications
• Almost periodic differential equations
• A periodicity threshold theorem for epidemics and population growth
• Thompson's metric and mixed monotone operators
• Fixed points of asymptotic contractions
• Positive pseudo almost periodic solutions for some nonlinear infinite delay integral equations
• A fixed point theorem for k-set-contractions defined in a cone
• On Certain Contraction Mappings in a Partially Ordered Vector Space
• On Nonlinear Contractions

This page was built for publication: Fixed point theorems for nonlinear operators with and without monotonicity in partially ordered Banach spaces