Common fixed points of mappings satisfying implicit contractive conditions

Fixexd point theory and applications

Vasile Berinde¹  Francesca Vetro¹ 

[1] Department of Mathematics and Computer Science, Faculty of Sciences, North University of Baia Mare, Baia Mare, Romania

关键词: implicit relation;    contraction;    coincidence point;    fixed point;    common fixed point;   

DOI  :  10.1186/1687-1812-2012-105

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this article we obtain, in the setting of metric spaces or ordered metric spaces, coincidence point, and common fixed point theorems for self-mappings in a general class of contractions defined by an implicit relation. Our results unify, extend, generalize many related common fixed point theorems from the literature. Mathematics Subject Classification (2000): 47H10, 54H25.

【 授权许可】

CC BY