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On Random Approximations and Random Fixed Point Theorems for 1-Set-Contractive Random Maps
Journal article   Peer reviewed

On Random Approximations and Random Fixed Point Theorems for 1-Set-Contractive Random Maps

Naseer Shahzad, Saadia Latif and Nadia Shahzad
Stochastic analysis and applications, Vol.21(4), pp.895-908
07/01/2003
DOI: https://doi.org/10.1081/SAP-120022868

Abstract

1-set-contractive map 2000 Mathematics Subject Classification: 41A50 Random approximation Random fixed point Random operator
The validity of Fan's best approximation theorem for a continuous 1-set-contractive random map defined on a separable closed ball in a Banach space is established. As applications, some random approximation and random fixed point theorems are derived.

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