Common fixed point theorems of integral type contraction on metric spaces and its applications to system of functional equations
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- 作者：Muhammad Sarwar ; Mian Bahadur Zada ; İnci M Erhan
- 关键词：contractive mappings of integral type ; weakly compatible mappings ; common fixed point ; system of functional equations ; dynamic programming ; common \((E.A)\) ; property ; common \((CLR)\) ; property
- 刊名：Fixed Point Theory and Applications
- 出版年：2015
- 出版时间：December 2015
- 年：2015
- 卷：2015
- 期：1
- 全文大小：1,611 KB
- 刊物主题：Analysis; Mathematics, general; Applications of Mathematics; Differential Geometry; Topology; Mathematical and Computational Biology;
- 出版者：Springer International Publishing
- ISSN：1687-1812
文摘
In this article, using the common \((CLR)\) property, common fixed point results for two pairs of weakly compatible mappings satisfying contractive condition of integral type on metric spaces are established. Furthermore, the existence and uniqueness of common solution for system of functional equations arising in dynamic programming are discussed as an application of a common fixed point theorem presented in this paper.