Some generalizations of Ky Fan's best approximation theorem

A. R. Khan; N. Hussain; A. B. Thaheem

doi:10.1007/BF02901443

Some generalizations of Ky Fan's best approximation theorem

A. R. Khan^*
, N. Hussain
, A. B. Thaheem

^*Corresponding author for this work

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

1 Scopus citations

Abstract

We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map studied. Our work generalizes several results in approximation theory.

Original language	English
Pages (from-to)	189-198
Number of pages	10
Journal	Analysis in Theory and Applications
Volume	20
Issue number	2
DOIs	https://doi.org/10.1007/BF02901443
State	Published - Jun 2004

Bibliographical note

Funding Information:
Acknowledgment. The authors A.R. Khan and A.B. Thaheem are grateful to King Fahd University of Petroleum and Minerals and SABIC for supporting Fast Track Research Project No. FT-2002/01.

Keywords

*-nonexpansive multivalued map
Almost quasi-convex function
Best approximation
Fixed point
Hyperconvex space
Metrizable topological vector space

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1007/BF02901443

Cite this

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title = "Some generalizations of Ky Fan's best approximation theorem",

abstract = "We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map studied. Our work generalizes several results in approximation theory.",

keywords = "*-nonexpansive multivalued map, Almost quasi-convex function, Best approximation, Fixed point, Hyperconvex space, Metrizable topological vector space",

author = "Khan, \{A. R.\} and N. Hussain and Thaheem, \{A. B.\}",

note = "Funding Information: Acknowledgment. The authors A.R. Khan and A.B. Thaheem are grateful to King Fahd University of Petroleum and Minerals and SABIC for supporting Fast Track Research Project No. FT-2002/01.",

year = "2004",

month = jun,

doi = "10.1007/BF02901443",

language = "English",

volume = "20",

pages = "189--198",

journal = "Analysis in Theory and Applications",

issn = "1672-4070",

publisher = "Global Science Press",

number = "2",

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T1 - Some generalizations of Ky Fan's best approximation theorem

AU - Khan, A. R.

AU - Hussain, N.

AU - Thaheem, A. B.

N1 - Funding Information: Acknowledgment. The authors A.R. Khan and A.B. Thaheem are grateful to King Fahd University of Petroleum and Minerals and SABIC for supporting Fast Track Research Project No. FT-2002/01.

PY - 2004/6

Y1 - 2004/6

N2 - We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map studied. Our work generalizes several results in approximation theory.

AB - We pressent new Ky Fan type best approximation theorems for a discontinuous multivalued map on metrizable topological vector spaces and hyperconvex spaces. In addition, fixed point results are derived for the map studied. Our work generalizes several results in approximation theory.

KW - -nonexpansive multivalued map

KW - Almost quasi-convex function

KW - Best approximation

KW - Fixed point

KW - Hyperconvex space

KW - Metrizable topological vector space

UR - https://www.scopus.com/pages/publications/27744455291

U2 - 10.1007/BF02901443

DO - 10.1007/BF02901443

M3 - Article

AN - SCOPUS:27744455291

SN - 1672-4070

VL - 20

SP - 189

EP - 198

JO - Analysis in Theory and Applications

JF - Analysis in Theory and Applications

IS - 2

ER -

Some generalizations of Ky Fan's best approximation theorem

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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Cite this