Noncompact-type Krasnoselskii fixed-point theorems and their applications

DOI10.1002/mma.3525zbMath1347.35011OpenAlexW1907192014MaRDI QIDQ2802676

Svetlin G. Georgiev, Tian Xiang

Publication date: 26 April 2016

Published in: Mathematical Methods in the Applied Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1002/mma.3525

zbMATH Keywords

measure of noncompactnessfixed point theoremsexpansionstransport equationsDarboux problemcontractionsnoncompact mappings

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Partial functional-differential equations (35R10) Nonlinear first-order PDEs (35F20) Transport processes in time-dependent statistical mechanics (82C70) Periodic solutions of difference equations (39A23) Boundary value problems for PDEs of mixed type (35M12) Topological and monotonicity methods applied to PDEs (35A16)

Related Items (12)

On fixed point index theory for the sum of operators and applications to a class of ODEs and PDEs ⋮ Leray-Schauder fixed point theorems for block operator matrix with an application ⋮ Fixed point index theory for perturbation of expansive mappings by \(k\)-set contractions ⋮ Cone expansion and cone compression fixed point theorems for sum of two operators and their applications ⋮ Normalization of strongly hyperbolic logarithmic transseries and complex Dulac germs ⋮ Krasnoselskii-type fixed point theorem in ordered Banach spaces and application to integral equations ⋮ Reich-Krasnoselskii-type fixed point results with applications in integral equations ⋮ Classical solutions for a class of nonlinear wave equations ⋮ Fixed point theory for countably weakly condensing maps and multimaps in non-separable Banach spaces ⋮ Unnamed Item ⋮ Uniqueness of fixed points for sums of operators in ordered Banach spaces and applications ⋮ Normal forms of hyperbolic logarithmic transseries

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