期刊名称:An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
印刷版ISSN:2146-5703
出版年度:2014
卷号:4
期号:2
页码:99-104
DOI:10.11121/ijocta.01.2014.00184
语种:English
出版社:An International Journal of Optimization and Control: Theories & Applications (IJOCTA)
摘要:In this paper we prove two proximity point results for finding the distance between two sets. Unlike the best approximation theorems they provide with globally optimal values. Here our approach is to reduce the problem to that of finding optimal approximate solutions of some fixed point equations. We use Geraghty type contractive inequalities in our theorem. Two illustrative examples are given.
关键词:Contraction, proximity point, metric space, global minima, fixed point.