Nonlinear Leray–Schauder Alternatives for Decomposable Operators in Dunford–Pettis Spaces and Application to Nonlinear Eigenvalue Problems

DOI10.1080/01630563.2010.519131zbMath1217.47097OpenAlexW2028034381MaRDI QIDQ3068654

Afif Ben Amar

Publication date: 17 January 2011

Published in: Numerical Functional Analysis and Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/01630563.2010.519131

zbMATH Keywords

fixed point theoremsLeray-Schauder type alternativesDunford-Pettis spacesnonlinear positive operators

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Nonlinear spectral theory, nonlinear eigenvalue problems (47J10)

Related Items (4)

Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets ⋮ Fixed point theorems for the sum of \((ws)\)-compact and asymptotically \(\Phi\)-nonexpansive mappings ⋮ Unnamed Item ⋮ Fixed point and surjectivity results for e-quasibounded and (mws)-compact multivalued maps and applications

Cites Work

• Some fixed point theorems of the Schauder and the Krasnosel'skii type and application to nonlinear transport equations
• On existence of integrable solutions of a functional integral equation under Carathéodory conditions
• A nonlinear problem arising in the theory of growing cell populations
• A survey of the theory of spectral operators
• Some Fixed Point Theorems and Application to Biological Model
• On a generalization of the Schauder and Krasnosel'skii fixed points theorems on Dunford-Pettis spaces and applications
• Sur Les Applications Lineaires Faiblement Compactes D'Espaces Du Type C(K)
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