Weak PG-property and best proximity points

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2018 English Publisher:National Library of SerbiaJournal:Publications de l'Institut Mathematique, volume 104, pages 209-216 (issn: 0350-1302, eissn: 1820-7405,

Copyright policy )

Authors: Ali, Muhammad Usman; Kamran, Tayyab;

doi: 10.2298/pim1818209a

Weak PG-property and best proximity points

- Summary
- Subjects
- Metrics

Abstract

Summary: Abkar and Gbeleh proved the existence of best proximity points for multivalued nonself mappings on a complete metric space. We generalize/extend their result by introducing the notion of weak \(P_G\)-property. We also construct some examples in the support of our results.

Keywords

Best approximation, Chebyshev systems, Fixed-point and coincidence theorems (topological aspects), weak \(P_G\)-property, best proximity point, Complete metric spaces, Special maps on metric spaces, Set-valued maps in general topology

Impact byBIP!

	selected citations These citations are derived from selected sources. This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	2
	popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.	Average
	influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).	Average
	impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.	Average

Found an issue? Give us feedback

2

Average

gold

Fields of Science

Fields of Science