Fixed point theorems for monotone operators and applications to nonlinear elliptic problems

Fixexd point theory and applications

Jun Wu¹  Yicheng Liu² 

[1] College of Mathematics and Computer Science, Changsha University of Science Technology, Changsha, P.R. China;Department of Mathematics and Systems Science, College of Science, National University of Defense Technology, Changsha, P.R. China

关键词: coupled fixed point;    partially ordered metric space;    mixed monotone mapping;    quadruple fixed point;   

DOI  :  10.1186/1687-1812-2013-134

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, some fixed point theorems for monotone operators in partially ordered complete metric spaces are proved. Especially, a sufficient and necessary condition for the existence of a fixed point for a class of monotone operators is presented. The main results of this paper are generalizations of the recent results in the literature. Also, the main results can be applied to solve the nonlinear elliptic problems and the delayed hematopoiesis models. MSC:47H10, 54H25.

【 授权许可】

CC BY