Algorithms for Approximating Solutions of Split Variational Inclusion and Fixed-Point Problems

Abstract

In this paper, the split fixed point and variational inclusion problem is considered. With the help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative algorithm is proposed for solving this split problem in which the involved operators S and T are demicontractive operators and g is plain monotone. Strong convergence theorem is proved under some mild conditions.

Keywords

• split problem
• fixed point
• variational inclusion
• demicontractive operator
• monotone operator