A stochastic version of fan's best approximation theorem

Abdul Rahim Khan; A. B. Thaheem; Nawab Hussain

doi:10.1155/S1048953303000224

A stochastic version of fan's best approximation theorem

Abdul Rahim Khan^*, A. B. Thaheem, Nawab Hussain

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

Abstract

We establish some deterministic and random approximation results with the help of two continuous maps in the context of a metrizable topological vector space. These results generalize some well known results in approximation theory.

Original language	English
Pages (from-to)	275-282
Number of pages	8
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	16
Issue number	3
DOIs	https://doi.org/10.1155/S1048953303000224
State	Published - 2003

Keywords

Best Approximation
Fixed Point
Kirzbraun Property
Metrizable Topological Vector Space
Multivalued Random Operator
Quasi-Convex Function

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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@article{e50802710e544dcd964dbc62a4b08b16,

title = "A stochastic version of fan's best approximation theorem",

abstract = "We establish some deterministic and random approximation results with the help of two continuous maps in the context of a metrizable topological vector space. These results generalize some well known results in approximation theory.",

keywords = "Best Approximation, Fixed Point, Kirzbraun Property, Metrizable Topological Vector Space, Multivalued Random Operator, Quasi-Convex Function",

author = "Khan, \{Abdul Rahim\} and Thaheem, \{A. B.\} and Nawab Hussain",

year = "2003",

doi = "10.1155/S1048953303000224",

language = "English",

volume = "16",

pages = "275--282",

journal = "Journal of Applied Mathematics and Stochastic Analysis",

issn = "1048-9533",

publisher = "Hindawi Publishing Corporation",

number = "3",

}

TY - JOUR

T1 - A stochastic version of fan's best approximation theorem

AU - Khan, Abdul Rahim

AU - Thaheem, A. B.

AU - Hussain, Nawab

PY - 2003

Y1 - 2003

N2 - We establish some deterministic and random approximation results with the help of two continuous maps in the context of a metrizable topological vector space. These results generalize some well known results in approximation theory.

AB - We establish some deterministic and random approximation results with the help of two continuous maps in the context of a metrizable topological vector space. These results generalize some well known results in approximation theory.

KW - Best Approximation

KW - Fixed Point

KW - Kirzbraun Property

KW - Metrizable Topological Vector Space

KW - Multivalued Random Operator

KW - Quasi-Convex Function

UR - https://www.scopus.com/pages/publications/27744476524

U2 - 10.1155/S1048953303000224

DO - 10.1155/S1048953303000224

M3 - Article

AN - SCOPUS:27744476524

SN - 1048-9533

VL - 16

SP - 275

EP - 282

JO - Journal of Applied Mathematics and Stochastic Analysis

JF - Journal of Applied Mathematics and Stochastic Analysis

IS - 3

ER -

A stochastic version of fan's best approximation theorem

Abstract

Keywords

ASJC Scopus subject areas

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