文章基本信息

标题：Generalization of best proximity points theorem for non-self proximal contractions of first kind
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作者：Mohamed Iadh Ayari ; Zead Mustafa ; Mohammed Mahmoud Jaradat 等
期刊名称：Fixed Point Theory and Applications
印刷版ISSN：1687-1820
电子版ISSN：1687-1812
出版年度：2019
卷号：2019
期号：1
页码：1-10
DOI：10.1186/s13663-019-0657-4
出版社：Hindawi Publishing Corporation
摘要：The primary objective of this paper is the study of the generalization of some results given by Basha (Numer. Funct. Anal. Optim. 31:569–576, 2010). We present a new theorem on the existence and uniqueness of best proximity points for proximal β-quasi-contractive mappings for non-self-mappings $S:M ightarrow N$ and $T:N ightarrow M$ . Furthermore, as a consequence, we give a new result on the existence and uniqueness of a common fixed point of two self mappings.
关键词：Best proximity points; Proximal β-quasi-contractive mappings on metric spaces and proximal cyclic contraction