Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps

Donal O'Regan; Naseer Shahzad

doi:10.1080/00036810310001613142

Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps

Donal O'Regan
, Naseer Shahzad

Mathematics

King Abdulaziz University

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

4 Citations (Scopus)

Abstract

The article discusses new random and deterministic fixed point and approximation theorems for countably 1-set-contractive maps. Results of Furi-Pera, Leray-Schauder, Krasnoselskii--Petryshyn, and Fan's approximation type are presented for a variety of countably 1-set-contractive multimaps ((Formula presented.), KKM, PK, etc.). Their random analogues are also given.

Original language	English
Pages (from-to)	1055-1084
Number of pages	30
Journal	International Journal of Phytoremediation
Volume	82
Issue number	11
DOIs	https://doi.org/10.1080/00036810310001613142
Publication status	Published - Nov 2003

Keywords

AMS Subject Classification: 47H10
Approximation
Countably contractive
Fixed points
Random

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10.1080/00036810310001613142

Cite this

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abstract = "The article discusses new random and deterministic fixed point and approximation theorems for countably 1-set-contractive maps. Results of Furi-Pera, Leray-Schauder, Krasnoselskii--Petryshyn, and Fan's approximation type are presented for a variety of countably 1-set-contractive multimaps ((Formula presented.), KKM, PK, etc.). Their random analogues are also given.",

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KW - AMS Subject Classification: 47H10

KW - Approximation

KW - Countably contractive

KW - Fixed points

KW - Random

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Random and deterministic fixed point and approximation results for countably 1-set-contractive multimaps

Abstract

Keywords

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