Random fixed points and random approximations in nonconvex domains

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

doi:10.1155/S1048953302000217

Random fixed points and random approximations in nonconvex domains

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

^*Corresponding author for this work

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

10 Scopus citations

Abstract

Stochastic generalizations of some fixed point theorems on a class of nonconvex sets in a locally bounded topological vector space are established. As applications, Brosowski-Meinardus type theorems about random invariant approximation are obtained. This work extends or provides stochastic versions of several well known results.

Original language	English
Pages (from-to)	247-253
Number of pages	7
Journal	Journal of Applied Mathematics and Stochastic Analysis
Volume	15
Issue number	3
DOIs	https://doi.org/10.1155/S1048953302000217
State	Published - 2002

Keywords

Banach Operator
Contractive Map
Locally Bounded Topological Vector Space
Nonexpansive Random Map
Random Approximation
Random Fixed Point
Random Operator

ASJC Scopus subject areas

Statistics and Probability
Modeling and Simulation
Applied Mathematics

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10.1155/S1048953302000217

Cite this

@article{a5334905c7b44ae6a6b1cb6275396593,

title = "Random fixed points and random approximations in nonconvex domains",

abstract = "Stochastic generalizations of some fixed point theorems on a class of nonconvex sets in a locally bounded topological vector space are established. As applications, Brosowski-Meinardus type theorems about random invariant approximation are obtained. This work extends or provides stochastic versions of several well known results.",

keywords = "Banach Operator, Contractive Map, Locally Bounded Topological Vector Space, Nonexpansive Random Map, Random Approximation, Random Fixed Point, Random Operator",

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

year = "2002",

doi = "10.1155/S1048953302000217",

language = "English",

volume = "15",

pages = "247--253",

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

issn = "1048-9533",

publisher = "Hindawi Publishing Corporation",

number = "3",

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TY - JOUR

T1 - Random fixed points and random approximations in nonconvex domains

AU - Khan, Abdul Rahim

AU - Thaheem, A. B.

AU - Hussain, Nawab

PY - 2002

Y1 - 2002

N2 - Stochastic generalizations of some fixed point theorems on a class of nonconvex sets in a locally bounded topological vector space are established. As applications, Brosowski-Meinardus type theorems about random invariant approximation are obtained. This work extends or provides stochastic versions of several well known results.

AB - Stochastic generalizations of some fixed point theorems on a class of nonconvex sets in a locally bounded topological vector space are established. As applications, Brosowski-Meinardus type theorems about random invariant approximation are obtained. This work extends or provides stochastic versions of several well known results.

KW - Banach Operator

KW - Contractive Map

KW - Locally Bounded Topological Vector Space

KW - Nonexpansive Random Map

KW - Random Approximation

KW - Random Fixed Point

KW - Random Operator

UR - https://www.scopus.com/pages/publications/1542471290

U2 - 10.1155/S1048953302000217

DO - 10.1155/S1048953302000217

M3 - Article

AN - SCOPUS:1542471290

SN - 1048-9533

VL - 15

SP - 247

EP - 253

JO - Journal of Applied Mathematics and Stochastic Analysis

JF - Journal of Applied Mathematics and Stochastic Analysis

IS - 3

ER -

Random fixed points and random approximations in nonconvex domains

Abstract

Keywords

ASJC Scopus subject areas

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