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

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

doi:10.13025/28152

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

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

Mathematics

Faculty of Sciences, King Abdulaziz University
King Abdulaziz University

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

13 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/10.13025/28152 https://doi.org/10.1155/2012/267531
Publication status	Published - 2012

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10.13025/28152Licence: CC BY-NC-ND
10.1155/2012/267531

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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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AU - O'Regan, Donal

AU - Shahzad, Naseer

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AB - 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.

UR - http://hdl.handle.net/10379/10188

UR - https://www.scopus.com/pages/publications/84874832628

U2 - 10.13025/28152

DO - 10.13025/28152

M3 - Article

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VL - 2012

JO - Abstract and Applied Analysis

JF - Abstract and Applied Analysis

M1 - 267531

ER -

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

Abstract

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