MODIFY REGULARIZATION METHOD VIA PROXIMAL POINT ALGORITHMS FOR ZEROS OF SUM ACCRETIVE OPERATORS OF FIXED POINT AND INVERSE PROBLEMS

KHANITTHA  PROMLUANG; POOM  KUMAM

MODIFY REGULARIZATION METHOD VIA PROXIMAL POINT ALGORITHMS FOR ZEROS OF SUM ACCRETIVE OPERATORS OF FIXED POINT AND INVERSE PROBLEMS

Authors

KHANITTHA PROMLUANG Department of Learning Management, Faculty of Education, Burapha University, 169 Longhaad Bangsaen Road, Saensook, Mueang, Chonburi 20131, Thailand
POOM KUMAM KMUTTFixed Point Research Laboratory, Department of Mathematics and Theoretical and Computational Science (TaCS) Center, Science Laboratory Building, Faculty of Science, King Mongkut's University of Technology Thonburi (KMUTT), 126 Pracha Uthit Rd., Bang Mod, Thung Khru, Bangkok 10140, Thailand

Keywords:

Regularization method, proximal point algorithm, zero points, accretive operators, inverse problems

Abstract

In this paper, we investigate the regularization method via a proximal point algorithm for solving treating the sum of two accretive operators for a fixed point set and inverse problems. Strong convergence theorems are established in the framework of Banach spaces. Furthermore, we also apply our result to variational inequality and equilibrium problems.