Positive fixed points for nonlinear operators,

DOI10.1016/j.camwa.2005.08.024zbMath1080.47043OpenAlexW1971463508MaRDI QIDQ814109

Ke Li, Jin Liang, Ti-Jun Xiao

Publication date: 2 February 2006

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.camwa.2005.08.024

zbMATH Keywords

nonlinear integral equationordered Banach spacespositive fixed pointsublinear operatordecreasing operator

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Monotone and positive operators on ordered Banach spaces or other ordered topological vector spaces (47H07) Perturbations of nonlinear operators (47H14)

Related Items (8)

Positive solutions of operator equations on ordered Banach spaces and applications ⋮ Fixed point theorem in ordered Banach spaces and applications to matrix equations ⋮ Positive fixed points for a class of nonlinear operators and applications ⋮ Positive solutions for some boundary value problems via a new fixed point theorem ⋮ Some theorems on existence and uniqueness of fixed points for decreasing operators ⋮ 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 ⋮ Unnamed Item

Cites Work

• One-parameter semigroups of positive operators
• 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
• Existence and uniqueness of positive fixed points for mixed monotone operators and applications
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