General splitting methods with linearization for the split feasibility problem

QL Dong, S He, MT Rassias - Journal of Global Optimization, 2021 - Springer
In this article, we introduce a general splitting method with linearization to solve the split
feasibility problem and propose a way of selecting the stepsizes such that the …

SOLVING THE SPLIT EQUALITY HIERARCHICAL FIXED POINT PROBLEM.

B Djafari-Rouhani, KR Kazmi, S Moradi… - Fixed Point …, 2022 - search.ebscohost.com
This paper deals with a split equality hierarchical fixed point problem in real Hilbert spaces
which is an important and natural extension of hierarchical fixed point problem and split …

General algorithms for split common fixed point problem of demicontractive mappings

M Eslamian - Optimization, 2016 - Taylor & Francis
In the first part of this paper, we present a new general algorithm for solving the split
common fixed point problem for an infinite family of demicontractive mappings. We establish …

The Landweber operator approach to the split equality problem

HK Xu, A Cegielski - SIAM Journal on Optimization, 2021 - SIAM
The split equality problem (SEP) seeks a pair of points (x^∗,y^∗)∈(C,D) with the property
that Ax^∗=By^∗, where C,D are nonempty closed convex subsets of Hilbert spaces H_1 and …

A gradient projection method for solving split equality and split feasibility problems in Hilbert spaces

PT Vuong, JJ Strodiot, VH Nguyen - Optimization, 2015 - Taylor & Francis
In this paper, we first study in a Hilbertian framework the weak convergence of a general
Gradient Projection Algorithm for minimizing a convex function of class over a convex …

A new approach to solving split equality problems in Hilbert spaces

S Reich, TM Tuyen - Optimization, 2022 - Taylor & Francis
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Strong convergence theorem for solving split equality fixed point problem which does not involve the prior knowledge of operator norms

Y Shehu, FU Ogbuisi, OS Iyiola - Bulletin of the Iranian …, 2017 - bims.iranjournals.ir
‎ Our contribution in this paper is to propose an iterative algorithm which does not require
prior knowledge of operator norm and prove a strong convergence theorem for …

Regularization methods for the split equality problems in Hilbert spaces

TM Tuyen - Bulletin of the Malaysian Mathematical Sciences …, 2023 - Springer
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Modified general splitting method for the split feasibility problem

S Vong, Z Yao - Journal of Global Optimization, 2024 - Springer
Based on the equivalent optimization problems of the splitting feasibility problem, we
investigate this problem by using modified general splitting method in this paper. One is a …

An inertial self-adaptive algorithm for the generalized split common null point problem in Hilbert spaces

TM Tuyen, P Sunthrayuth, NM Trang - Rendiconti del Circolo Matematico …, 2021 - Springer
In this paper, we propose an inertial self-adaptive algorithm for solving the generalized split
common null point problem introduced by Reich and Tuyen (Optimization 69 (5): 1013 …