T.M.M. Sow
Amadou Mahtar Mbow University, Dakar, Senegal
In this paper, we introduce a new iterative approach for finding a common element of the set of fixed points of a demicontractive mapping and the set of solutions of a system of inclusion problems with an infinite family of accretive operators in certain Banach spaces. Then, strong convergence of the scheme to a common element of the two sets is proved. Moreover, an application to convex minimization problems involving an infinite family of lower semi-continuous and convex functions is included. The main theorems develop and complement the recent results announced by researchers in this area.
Keywords: Proximal point algorithm; Demicontractive operators; Accretive operators; Inclusion problems.
Owl, T. M. M. (2020). Fixed point solution of system of inclusion problems for demicontractive operators in certain Banach spaces with application. Advances in the Theory of Nonlinear Analysis and Its Application, 4(2), 100–111.