Fixed point theorems with generalized altering distance functions in partially ordered metric spaces via w -distances and applications

Fixexd point theory and applications

Qian Meng¹  Yanbin Sang¹ 

[1] School of Science, North University of China, Taiyuan, China

关键词: T-contractions;    altering distance;    multidimensional;    w-distance;    partial order;   

DOI  :  10.1186/s13663-015-0408-0

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we establish some fixed point theorems with T-contractions and w-distances in partially ordered metric spaces. The main tool used in our proof is a generalized altering distance function. Our results can be applied directly to study multidimensional fixed point which covers the concepts of coupled, tripled, quadruple fixed point etc. Moreover, a Fredholm integral equation and an initial-value problem for partial differential equation of parabolic type are also discussed.

【 授权许可】

CC BY