Krasnosel'skii type fixed point theorems for mappings on nonconvex sets

DOI10.1155/2012/267531zbMath1386.47005OpenAlexW2139473782WikidataQ58696186 ScholiaQ58696186MaRDI QIDQ696028

Naseer Shahzad, Maryam A. Alghamdi, Donal O'Regan

Publication date: 18 December 2012

Published in: Abstract and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2012/267531

zbMATH Keywords

\(p\)-normed spacesKrasnosel'skii type fixed point theorems

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Fixed-point theorems (47H10) Applications of operator theory to differential and integral equations (47N20)

Related Items (7)

Fixed Point Theorem and Related Nonlinear Analysis by the Best Approximation Method in p-Vector Spaces ⋮ Fixed points of Hammerstein-type equations on general cones ⋮ Nonlinear analysis in \(p\)-vector spaces for single-valued 1-set contractive mappings ⋮ Random fixed point theorem of Krasnoselskii type for the sum of two operators ⋮ Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces based on measures of noncompactness ⋮ Unnamed Item ⋮ Nonlinear analysis by applying best approximation method in \(p\)-vector spaces

Cites Work

• Some fixed point theorems for \(s\)-convex subsets in \(p\)-normed spaces
• Orlicz spaces and modular spaces
• A class of expansive-type Krasnosel'skii fixed point theorems
• On uniformly Lipschitzian multivalued mappings in Banach and metric spaces
• Fixed point theory for generalized contractive maps of Meir-Keeler type
• A fixed point theorem and its application to integral equations in modular function spaces
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