A fixed point theorem for convex and decreasing operators

DOI10.1016/j.na.2004.12.014zbMath1159.47306OpenAlexW2040134581MaRDI QIDQ999512

Ke Li, Jin Liang, Ti-Jun Xiao

Publication date: 4 February 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.2004.12.014

zbMATH Keywords

fixed pointtwo-point boundary value problemconvex and decreasing operator

Mathematics Subject Classification ID

Fixed-point theorems (47H10)

Related Items (13)

Fixed point theorems for a class of nonlinear sum-type operators and application in a fractional differential equation ⋮ The solution for a class of sum operator equation and its application to fractional differential equation boundary value problems ⋮ Positive fixed points for convex and decreasing operators in probabilistic Banach spaces with an application to a two-point boundary value problem ⋮ Positive solutions of operator equations on ordered Banach spaces and applications ⋮ New existence and uniqueness theorems of positive fixed points for mixed monotone operators with perturbation ⋮ Uniqueness of positive solutions for several classes of sum operator equations and applications ⋮ A sum operator equation and applications to nonlinear elastic beam equations and Lane-Emden-Fowler equations ⋮ \(\alpha\)-\((h,e)\)-convex operators and applications for Riemann-Liouville fractional differential equations ⋮ Some theorems on existence and uniqueness of fixed points for decreasing operators ⋮ Unnamed Item ⋮ Fixed points of decreasing operators in ordered Banach spaces and applications to nonlinear second order elliptic equations ⋮ Positive solutions for nonlinear operator equations and several classes of applications ⋮ A Fixed Point Theorem for Decreasing Functions

Cites Work

• Positive fixed points and eigenvectors of noncompact decreasing operators with applications to nonlinear integral equations
• Existence and uniqueness of positive fixed points for noncompact decreasing operators
• Fixed points of increasing operators in ordered Banach spaces and applications
• Fixed Point Equations and Nonlinear Eigenvalue Problems in Ordered Banach Spaces
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