Leggett-Williams fixed point theorem type for sums of operators and application in PDEs

DOI10.7153/dea-2021-13-18zbMath1497.47082OpenAlexW3208304910WikidataQ114012106 ScholiaQ114012106MaRDI QIDQ5078620

Karima Mebarki, Svetlin G. Georgiev

Publication date: 23 May 2022

Published in: Differential Equations & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.7153/dea-2021-13-18

zbMATH Keywords

conefixed point indexGreen functionPDEssum of operators

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Initial value problems for second-order hyperbolic equations (35L15) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (2)

Existence of fixed points in conical shells of a Banach space for sum of two operators and application in ODEs ⋮ Two nonnegative solutions for two-dimensional nonlinear wave equations

Cites Work

• Fixed point index theory for perturbation of expansive mappings by \(k\)-set contractions
• Multiple positive fixed points for the sum of expansive mappings and k‐set contractions
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item

This page was built for publication: Leggett-Williams fixed point theorem type for sums of operators and application in PDEs