An application of fixed point theorem to best approximation in locally convex space

Hemant Kumar Nashine; Mohammad Saeed Khan

doi:10.1016/j.aml.2009.06.025

An application of fixed point theorem to best approximation in locally convex space

Hemant Kumar Nashine, Mohammad Saeed Khan^*

^*Corresponding author for this work

Mathematics

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

12 Citations (Scopus)

Abstract

A common fixed point theorem of Jungck [G. Jungck, On a fixed point theorem of fisher and sessa, Internat. J. Math. Math. Sci., 13 (3) (1990) 497-500] is generalized to locally convex spaces and the new result is applied to extend a result on best approximation.

Original language	English
Pages (from-to)	121-127
Number of pages	7
Journal	Applied Mathematics Letters
Volume	23
Issue number	2
DOIs	https://doi.org/10.1016/j.aml.2009.06.025
Publication status	Published - Feb 2010

Keywords

Best approximation
Demiclosed mapping
Fixed point
Locally convex space
Nonexpansive mapping

ASJC Scopus subject areas

Applied Mathematics

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10.1016/j.aml.2009.06.025

Cite this

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abstract = "A common fixed point theorem of Jungck [G. Jungck, On a fixed point theorem of fisher and sessa, Internat. J. Math. Math. Sci., 13 (3) (1990) 497-500] is generalized to locally convex spaces and the new result is applied to extend a result on best approximation.",

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KW - Fixed point

KW - Locally convex space

KW - Nonexpansive mapping

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An application of fixed point theorem to best approximation in locally convex space

Abstract

Keywords

ASJC Scopus subject areas

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