Fixed point theorems for 1-set weakly contractive and pseudocontractive operators on an unbounded domain

DOI10.4171/PM/1884zbMath1241.47046OpenAlexW2018437703MaRDI QIDQ555195

Afif Ben Amar, García Falset, Jesús

Publication date: 22 July 2011

Published in: Portugaliae Mathematica. Nova Série (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.4171/pm/1884

zbMATH Keywords

fixed pointsBanach spacesmeasures of weak noncompactnesspseudocontractive mapsweakly 1-set contractions

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items

Fixed point theorems and the Krein-Šmulian property in locally convex spaces ⋮ Fixed Point Theorems for Weakly Asymptotically Regular Mappings in Banach Spaces with an Application ⋮ Fixed points, eigenvalues and surjectivity for (ws)-compact operators on unbounded convex sets ⋮ Schaefer-Krasnoselskii fixed point theorems using a usual measure of weak noncompactness ⋮ Fixed point theorems for the sum of \((ws)\)-compact and asymptotically \(\Phi\)-nonexpansive mappings ⋮ Fixed-point theorems for the sum of two operators under \(\omega\)-condensing ⋮ Best proximity point for the sum of two non-self-operators ⋮ Krasnoselskii-type fixed point theorems with applications to Hammerstein integral equations in L1 spaces ⋮ Fixed point and surjectivity results for e-quasibounded and (mws)-compact multivalued maps and applications

Cites Work

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