Existence of an interior path leading to the solution point of a class of fixed point problems

Journal of inequalities and applications

Menglong Su¹ 

关键词: interior path following method;    fixed point problems;    constructive proof;   

DOI  :  10.1186/s13660-015-0559-x

学科分类：数学（综合）

来源: SpringerOpen

【 摘 要 】

In this paper, we propose a new set of unbounded conditions to make the interior path following method able to solve fixed point problems with both inequality and equality constraints in a class of unbounded nonconvex set. Under suitable assumptions, we give a constructive proof of the existence of interior path leading to the solution point of this class of fixed point problems.

【 授权许可】

CC BY