A fixed point theorem for condensing operators and applications to Hammerstein integral equations in Banach spaces

Donald O'Regan

doi:10.13025/24273

A fixed point theorem for condensing operators and applications to Hammerstein integral equations in Banach spaces

Donald O'Regan

Mathematics

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

12 Citations (Scopus)

Abstract

We prove a fixed point theorem of Furi Pera type for condensing operators. This will then be used to establish the existence of solutions to certain integral equations of Hammerstein type in Banach spaces.

Original language	English
Pages (from-to)	39-49
Number of pages	11
Journal	Computers and Mathematics with Applications
Volume	30
Issue number	9
DOIs	https://doi.org/10.13025/24273 https://doi.org/10.1016/0898-1221(95)00145-o
Publication status	Published - Nov 1995

Keywords

Condensing operators
Externally hosted open access publications with University of Galway authors
Fixed point theory
Nonlinear integral equations

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10.13025/24273Licence: CC BY
10.1016/0898-1221(95)00145-o

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abstract = "We prove a fixed point theorem of Furi Pera type for condensing operators. This will then be used to establish the existence of solutions to certain integral equations of Hammerstein type in Banach spaces.",

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author = "Donald O'Regan",

year = "1995",

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AB - We prove a fixed point theorem of Furi Pera type for condensing operators. This will then be used to establish the existence of solutions to certain integral equations of Hammerstein type in Banach spaces.

KW - Condensing operators

KW - Externally hosted open access publications with University of Galway authors

KW - Fixed point theory

KW - Nonlinear integral equations

UR - http://hdl.handle.net/10379/9740

UR - https://www.scopus.com/pages/publications/0011300512

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M3 - Article

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JO - Computers and Mathematics with Applications

JF - Computers and Mathematics with Applications

IS - 9

ER -

A fixed point theorem for condensing operators and applications to Hammerstein integral equations in Banach spaces

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Keywords

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