New generalized pseudodistance and coincidence point theorem in a b -metric space

Fixexd point theory and applications

Robert Plebaniak¹ 

[1] Department of Nonlinear Analysis, Faculty of Mathematics and Computer Science, University of Łódź, Łódź, Poland

关键词: b-metric spaces;    b-generalized pseudodistances;    coincidence points theorem;   

DOI  :  10.1186/1687-1812-2013-270

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, in a b-metric space, we introduce the concept of b-generalized pseudodistances which are the extension of b-metric. Next, inspired by ideas of Singh and Prasad we define a new contractive condition with respect to this b-generalized pseudodistance, and the condition guaranteeing the existence of coincidence points for four mappings. The examples which illustrate the main result are given. The paper includes also the comparison of our result with those existing in literature. MSC:47H10, 54H25, 54E50, 54E35, 45M20.

【 授权许可】

CC BY