ScholarWorks@경상국립대학교

초록

Krasnosel'skii-Mann algorithm is efficient to investigate various nonlinear optimization problems. It is known that the Krasnosel'skii-Mann algorithm is not convergent in infinite dimensional spaces without addition assumptions. In this paper, a modified Krasnosel'skiI-Mann algorithm is presented. A convergence theorem of common fixed points for a countably infinite family of nonexpansive operators is obtained in the framework of smooth Banach spaces without compact assumptions.

키워드