On existence and uniqueness of g-best proximity points under θ, g-contractivity conditions and consequences

Journal article

Authors/Editors

POOM KUMAM

Strategic Research Themes

No matching items found.

Publication Details

Author list: Kumam P., Roldแn L๓pez De Hierro A.F.

Publisher: Hindawi

Publication year: 2014

Journal: Abstract and Applied Analysis (1085-3375)

Volume number: 2014

ISSN: 1085-3375

eISSN: 1687-0409

URL: https://www.scopus.com/inward/record.uri?eid=2-s2.0-84899426464&doi=10.1155%2f2014%2f234027&partnerID=40&md5=9a321b1fa5730a6234e627bdd55f075b

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

Abstract

We collect, improve, and generalize very recent results due to Mongkolkeha et al. (2014) in three directions: firstly, we study g-best proximity points; secondly, we employ more general test functions than can be found in that paper, which lets us prove best proximity results using different kinds of control functions; thirdly, we introduce and handle a weak version of the P-property. Our results can also be applied to the study of coincidence points between two mappings as a particular case. As a consequence, the contractive condition we introduce is more general than was used in the mentioned paper. ฉ 2014 Poom Kumam and Antonio Francisco Roldแn L๓pez de Hierro.

Keywords