Common fixed point theorems for ( ψ , φ )-weak nonlinear contraction in partially ordered sets

Fixexd point theory and applications

Gwang Hui Kim¹  Madjid Eshaghi Gordji²  Hamid Baghani² 

[1] Department of Mathematics, Kangnam University, Yongin, Gyeonggi, Korea;Department of Mathematics, Semnan University, Semnan, Iran

关键词: fixed point;    weakly contractive mapping;    partially ordered set;   

DOI  :  10.1186/1687-1812-2012-62

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

The purpose of this article is to present some fixed point theorems for (ψ, φ)-weak contractive mappings in a complete metric space endowed with a partial order. As an application of the main result, we give an existence theorem for the solution of a periodic boundary value problem. 2000 Mathematics Subject Classification: 47H10.

【 授权许可】

CC BY