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

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

doi:10.1155/2012/267531

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

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

Mathematics

Research output: Contribution to a Journal (Peer & Non Peer) › Article › peer-review

10 Citations (Scopus)

Abstract

We prove Krasnosel'skii type fixed point theorems in situations where the domain is not necessarily convex. As an application, the existence of solutions for perturbed integral equation is considered in p-normed spaces.

Original language	English
Article number	267531
Journal	Abstract and Applied Analysis
Volume	2012
DOIs	https://doi.org/10.1155/2012/267531
Publication status	Published - 2012

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title = "Krasnosel'skii type fixed point theorems for mappings on nonconvex sets",

abstract = "We prove Krasnosel'skii type fixed point theorems in situations where the domain is not necessarily convex. As an application, the existence of solutions for perturbed integral equation is considered in p-normed spaces.",

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

Abstract

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