Some results on common fixed points and best approximation

Abdul Rahim Khan; Abdul Latif; Arjamand Bano; Nawab Hussain

doi:10.5556/j.tkjm.36.2005.132

Some results on common fixed points and best approximation

Abdul Rahim Khan^*
, Abdul Latif
, Arjamand Bano
, Nawab Hussain

^*Corresponding author for this work

Department of Mathematics

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

12 Scopus citations

Abstract

We prove a common fixed point result for (f, g)-nonexpansive maps and then derive certain results on best approximation. Our results generalize the results of Al-Thagafi [1], Jungck and Sessa [6], Khan, Hussain and Thaheem [8], Latif [9, 10] and Sahab, Khan and Sessa [12].

Original language	English
Pages (from-to)	33-38
Number of pages	6
Journal	Tamkang Journal of Mathematics
Volume	36
Issue number	1
DOIs	https://doi.org/10.5556/j.tkjm.36.2005.132
State	Published - 2005

Keywords

Best approximation
Common fixed point
Commuting maps
Property of contractiveness and joint continuity
p-normed space

ASJC Scopus subject areas

General Mathematics
Applied Mathematics

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10.5556/j.tkjm.36.2005.132

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title = "Some results on common fixed points and best approximation",

abstract = "We prove a common fixed point result for (f, g)-nonexpansive maps and then derive certain results on best approximation. Our results generalize the results of Al-Thagafi [1], Jungck and Sessa [6], Khan, Hussain and Thaheem [8], Latif [9, 10] and Sahab, Khan and Sessa [12].",

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AU - Bano, Arjamand

AU - Hussain, Nawab

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N2 - We prove a common fixed point result for (f, g)-nonexpansive maps and then derive certain results on best approximation. Our results generalize the results of Al-Thagafi [1], Jungck and Sessa [6], Khan, Hussain and Thaheem [8], Latif [9, 10] and Sahab, Khan and Sessa [12].

AB - We prove a common fixed point result for (f, g)-nonexpansive maps and then derive certain results on best approximation. Our results generalize the results of Al-Thagafi [1], Jungck and Sessa [6], Khan, Hussain and Thaheem [8], Latif [9, 10] and Sahab, Khan and Sessa [12].

KW - Best approximation

KW - Common fixed point

KW - Commuting maps

KW - Property of contractiveness and joint continuity

KW - p-normed space

UR - https://www.scopus.com/pages/publications/28044446520

U2 - 10.5556/j.tkjm.36.2005.132

DO - 10.5556/j.tkjm.36.2005.132

M3 - Article

AN - SCOPUS:28044446520

SN - 0049-2930

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EP - 38

JO - Tamkang Journal of Mathematics

JF - Tamkang Journal of Mathematics

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Some results on common fixed points and best approximation

Abstract

Keywords

ASJC Scopus subject areas

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