On some fixed-point theorems for generalized contractions and their perturbations

DOI10.1016/j.jmaa.2010.01.014zbMath1190.47060OpenAlexW1965707573MaRDI QIDQ968837

Mirosława Zima, Dariusz Bugajewski, Marcin Borkowski

Publication date: 10 May 2010

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2010.01.014

zbMATH Keywords

conePalais-Smale conditionnonexpansive mappingspectral radiusnon-Archimedean normed spaceabsolute retractcontractive mappingnonlinear alternativeweakly contractive mappinghyperconvex metric spacefunctional-integral equationsspherical completenessBanach space with a quasimodulusincreasing multifunctionKrasnoselskii-type fixed-point theoremsSchaefer-type fixed-point theoremweakly expanding mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20)

Related Items

Quasi-contraction of Perov type, A fixed-point theorem for ordered contraction-type decreasing operators in Banach space with lattice structure, A note on differential and integral equations in the spaces of functions of \(\Lambda \)-bounded variation, Perov-type contractions

Cites Work

• Extension of uniformly continuous transformations and hyperconvex metric spaces
• Fixed point for multivalued increasing operators
• An extension of Krasnosel'skii's fixed point theorem for contractions and compact mappings
• Some spectral properties of positive linear operators
• A fixed-point theorem of Krasnoselskii
• Some problems of nonlinear analysis
• On nonlinear contraction semigroups in sup norm spaces
• A certain fixed point theorem and its applications to integral-functional equations
• Existence of Fixed Points of Nonexpansive Mappings in Certain Banach Lattices
• A Fixed Point Theorem in Non-Archimedean Vector Spaces
• Hyperconvex spaces revisited
• On a fixed point theorem Krasnoselskii-Shafer type
• Solvability of nonlinear Volterra and Fredholm equations in weighted spaces
• On fixed point theorems of Leray–Schauder type
• Fixed-point theorems in hyperconvex spaces revisited
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item