Common fixed points for a pair of mappings satisfying contractive conditions of integral type

Journal of inequalities and applications

Zeqing Liu¹ 

关键词: contractive mappings of integral type;    weakly compatible mappings;    common fixed point;    system of functional equations;    dynamic programming;   

DOI  :  10.1186/1029-242X-2014-394

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

Four common fixed point theorems for a pair of weakly compatible mappings satisfying contractive conditions of integral type in metric spaces are proved. The existence result of bounded solutions for a system of functional equations arising in dynamic programming is discussed by using one of the common fixed point theorems obtained in this paper. An example is given to illustrate that our results extend properly two fixed point theorems due to Branciari and Rhoades. MSC:54H25.

【 授权许可】

CC BY