A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions

Ravi P. Agarwal; Donal O'Regan

doi:10.1016/S0096-3003(00)00077-1

A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions

Ravi P. Agarwal
, Donal O'Regan

Mathematics

National University of Singapore

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

14 Citations (Scopus)

Abstract

The existence of three fixed points is established for multivalued maps which satisfy an axiomatic index theory. Our results enable us to develop criteria for the existence of three nonnegative solutions to integral inclusions.

Original language	English
Pages (from-to)	263-274
Number of pages	12
Journal	Applied Mathematics and Computation
Volume	123
Issue number	2
DOIs	https://doi.org/10.1016/S0096-3003(00)00077-1
Publication status	Published - 25 Sep 2001

Keywords

Axiomatic index theory
Integral inclusions
Multiple solutions

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10.1016/S0096-3003(00)00077-1

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title = "A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions",

abstract = "The existence of three fixed points is established for multivalued maps which satisfy an axiomatic index theory. Our results enable us to develop criteria for the existence of three nonnegative solutions to integral inclusions.",

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AU - O'Regan, Donal

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KW - Axiomatic index theory

KW - Integral inclusions

KW - Multiple solutions

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A generalization of the Petryshyn-Leggett-Williams fixed point theorem with applications to integral inclusions

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Keywords

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