A New General Iterative Method for Solution of a New General System of Variational Inclusions for Nonexpansive Semigroups in Banach Spaces

[摘要] We introduce a new general system of variational inclusions in Banach spaces and propose anew iterative scheme for finding common element of the set of solutions of the variational inclusion with set-valued maximal monotone mapping and Lipschitzian relaxed cocoercive mapping and the set of fixed pointof nonexpansive semigroups in a uniformly convex and 2-uniformly smooth Banach space. Furthermore,strong convergence theorems are established under some certain control conditions. As applications, findinga common solution for a system of variational inequality problems and minimization problems is given.

[学科分类] 应用数学