Weakly noncompact fixed point results of the Schauder and the Krasnosel'skii type

DOI10.1007/s00009-013-0304-yzbMath1354.47039OpenAlexW2080009595MaRDI QIDQ2454125

Mohamed-Aziz Taoudi, Tian Xiang

Publication date: 12 June 2014

Published in: Mediterranean Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00009-013-0304-y

zbMATH Keywords

weak topologyfixed pointmeasure of weak noncompactnessweak continuityexpansive mapping\(w\)-contractive mapping

Mathematics Subject Classification ID

Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20) Measures of noncompactness and condensing mappings, (K)-set contractions, etc. (47H08)

Related Items (7)

Fixed point theorems for convex-power condensing operators in Banach algebra ⋮ Random fixed point theorems under weak topology features and application to random integral equations with lack of compactness ⋮ Unnamed Item ⋮ Krasnosel'skii-type fixed point theorems for convex-power condensing mappings in locally convex spaces ⋮ Some noncompact types of fixed point results in the generalized Banach spaces with respect to the G-weak topology contexts and applications ⋮ Sadovskii-Krasnosel'skii type fixed point theorems in Banach spaces with application to evolution equations ⋮ Noncompact-type Krasnoselskii fixed-point theorems and their applications

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