We establish a strong convergence theorem for a proximal# type algorithm which
approximates (common) zeroes of maximal monotone opera# tors in reflexive Banach …

Full article: Two Strong Convergence Theorems for a Proximal Method in Reflexive Banach
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In this paper, we consider the projection algorithm studied by Iiduka and Takahashi
(2008)[10] for finding a solution of the variational inequality problem for an inverse strongly …

We present a detailed study of right and left Bregman strongly nonexpansive operators in
reflexive Banach spaces. We analyze, in particular, compositions and convex combinations …

We study the convergence of an iterative algorithm for finding common fixed points of finitely
many Bregman firmly nonexpansive operators in reflexive Banach spaces. Our algorithm is …

In this paper, we study strong convergence of the proximal point algorithm. It is known that
the proximal point algorithm converges weakly to a solution of a maximal monotone …

We first introduce a modified proximal point algorithm for maximal monotone operators in a
Banach space. Next, we obtain a strong convergence theorem for resolvents of maximal …

We investigate strong convergence for Bregman strongly nonexpansive mappings by
Halpern's iteration in the framework of reflexive Banach spaces. Using the obtained result …

In this paper we study the convergence of an iterative algorithm for finding zeros with
constraints for not necessarily monotone set-valued operators in a reflexive Banach space …

We introduce two inexact proximal-like methods for solving equilibrium problems in reflexive
Banach spaces and establish their convergence properties, proving that the sequence …