Inertial Accelerated Steepest Descent Algorithm for Generalized Split Common Fixed Point Problems

AG Gebrie, BD Rouhani, A Gibali - Bulletin of the Iranian Mathematical …, 2023 - Springer
Motivated by some recent works in the field of fixed point theory, in this paper, we consider
the generalized split common fixed point problem for demimetric mappings and we present …

A simple computational algorithm with inertial extrapolation for generalized split common fixed point problems

AG Gebrie, DS Bedane - Heliyon, 2021 - cell.com
In the present paper, we explore operator norm independent inertial type accelerated
iterative algorithm solving generalized split common fixed point problem, which is the …

[PDF][PDF] Strong convergence results for the split common fixed point problem

H He, S Liu, R Chen, X Wang - J. Nonlinear Sci. Appl, 2016 - kurims.kyoto-u.ac.jp
Abstract Recently, Boikanyo [OA Boikanyo, Appl. Math. Comput., 265 (2015), 844–853]
constructed an algorithm for demicontractive operators and obtained the strong …

A strongly convergent algorithm for the split common fixed point problem

OA Boikanyo - Applied Mathematics and Computation, 2015 - Elsevier
Abstract Recently, Cui and Wang (2014) constructed an algorithm for demicontractive
operators that converges weakly, under mild assumptions, to some solution of the split …

An iterative algorithm for split common fixed-point problem for demicontractive mappings

Y Dang, F Meng, J Sun - Optimization methods, theory and applications, 2015 - Springer
Inspired by the inertial proximal algorithms for finding a zero of a maximal monotone
operator, we propose an inertial iteration algorithm for solving the split common fixed point …

Convergence of a cyclic algorithm for the split common fixed point problem without continuity assumption

F Wang, H Cui - Mathematical Modelling and Analysis, 2013 - Taylor & Francis
In their recent paper (Math. Model. Anal., 17 (4): 457–466, 2012), Tang, Peng and Liu
proposed a cyclic algorithm for solving the split common fixed point problem and established …

An approach for solving split common fixed point problems with multiple output sets that uses dynamic step sizes

H Cui - Numerical Functional Analysis and Optimization, 2023 - Taylor & Francis
In this paper, we investigate the split common fixed point problem with multiple output sets
and develop novel approaches for effectively approximating its solution. We establish two …

Hybrid iterative algorithms for the split common fixed point problems.

JS Jung - Journal of Nonlinear Sciences & Applications …, 2017 - search.ebscohost.com
In this paper, we introduce two iterative algorithms (one implicit algorithm and one explicit
algorithm) based on the hybrid steepest descent method for solving the split common fixed …

A REGULARIZED SCHEME FOR THE SPLIT COMMON FIXED POINT PROBLEM OF ASYMPTOTICALLY DEMICONTRACTIVE AND DEMIMETRIC MAPPINGS IN …

OT MEWOMO, A TAIWO - Applied Set-Valued Analysis & …, 2024 - search.ebscohost.com
In this paper, we introduce a regularized iterative scheme for solving the split common fixed
point problem of asymptotically demicontractive and demimetric mappings in real Banach …

[PDF][PDF] Self-adaptive iterative algorithms for the split common fixed point problem with demicontractive operators, J

A Wang, J Zhao - Nonlinear Var. Anal, 2021 - jnva.biemdas.com
In this paper, we use the dual variable to propose two self-adaptive iterative algorithms for
solving the split common fixed point problem with demicontractive operators. Under suitable …