East Asian mathematical journal
- Volume 24 Issue 3
- /
- Pages.305-315
- /
- 2008
- /
- 1226-6973(pISSN)
- /
- 2287-2833(eISSN)
ON FIXED POINT OF UNIFORMLY PSEUDO-CONTRACTIVE OPERATOR AND SOLUTION OF EQUATION WITH UNIFORMLY ACCRETIVE OPERATOR
- Xu, Yuguang (DEPARTMENT OF MATHEMATICS, KUNMING TEACHER'S COLLEGE) ;
- Liu, Zeqing (DEPARTMENT OF MATHEMATICS, LIAONING NORMAL UNIVERSITY) ;
- Kang, Shin-Min (DEPARTMENT OF MATHEMATICS AND THE RESEARCH INSTITUTE OF NATURAL SCIENCE, GYEONGSANG NATIONAL UNIVERSITY)
- Published : 2008.06.30
Abstract
The purpose of this paper is to study the existence and uniqueness of the fixed point of uniformly pseudo-contractive operator and the solution of equation with uniformly accretive operator, and to approximate the fixed point and the solution by the Mann iterative sequence in an arbitrary Banach space or an uniformly smooth Banach space respectively. The results presented in this paper show that if X is a real Banach space and A : X
Keywords
- Uniformly pseudo-contractive operator;
- uniformly accretive operator;
- demicontinuous;
- Mann iterative sequence