Coupled coincidence points for two mappings in metric spaces and cone metric spaces

Fixexd point theory and applications

Wei Long¹  Miloje Rajović²  Billy E Rhoades⁴ 

[1] College of Mathematics and Information Science, Jiangxi Normal University, Nanchang, Jiangxi, People'Department of Mathematics, Indiana University, Bloomington, USA;Faculty of Mechanical Engineering, University of Kragujevac, Kraljevo, Serbia;s Republic of China

关键词: Banach Space;    Point Theorem;    Fixed Point Theorem;    Convex Cone;    Cauchy Sequence;   

DOI  :  10.1186/1687-1812-2012-66

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

This article is concerned with coupled coincidence points and common fixed points for two mappings in metric spaces and cone metric spaces. We first establish a coupled coincidence point theorem for two mappings and a common fixed point theorem for two w-compatible mappings in metric spaces. Then, by using a scalarization method, we extend our main theorems to cone metric spaces. Our results generalize and complement several earlier results in the literature. Especially, our main results complement a very recent result due to Abbas et al.

【 授权许可】

CC BY