A hybrid steepest-descent algorithm for convex minimization over the fixed point set of multivalued mappings

Y Arfat, P Kumam, MAA Khan, YJ Cho - Carpathian Journal of Mathematics, 2023 - JSTOR
In the setting of Hilbert spaces, we show that a hybrid steepest-descent algorithm converges
strongly to a solution of a convex minimization problem over the fixed point set of a finite …

[PDF][PDF] An inertially constructed projection based hybrid algorithm for fixed point and split null point problems

Y Arfat, P Kumam, S Phiangsungnoen, MAA Khan… - AIMS Math, 2023 - aimspress.com
In this paper, we posit a framework for the investigation of the fixed point problems (FPP)
involving an infinite family of k-demicontractive operators and the split common null point …

An accelerated variant of the projection based parallel hybrid algorithm for split null point problems

Y Arfat, P Kumam, MAA Khan, PS Ngiamsunthorn - 2022 - projecteuclid.org
In this paper, we consider an accelerated shrinking projection based parallel hybrid
algorithm to study the split null point problem (SNPP) associated with the maximal monotone …

Some variants of the hybrid extragradient algorithm in Hilbert spaces

Y Arfat, P Kumam, MAA Khan, T Seangwattana… - Journal of Inequalities …, 2024 - Springer
This paper provides convergence analysis of some variants of the hybrid extragradient
algorithm (HEA) in Hilbert spaces. We employ the HEA to compute the common solution of …

[PDF][PDF] Some variant of Tseng splitting method with accelerated Visco-Cesaro means for monotone inclusion problems

Y Arfat, S Phiangsungnoen, P Kumam… - AIMS …, 2023 - aimspress.com
In this paper, we examine the convergence analysis of a variant of Tseng's splitting method
for monotone inclusion problem and fixed point problem associated with an infinite family of …

AN ACCELERATED EXTRAGRADIENT ALGORITHM FOR FIXED POINT, PSEUDOMONOTONE EQUILIBRIUM AND SPLIT NULL POINT PROBLEMS.

Y ARFAT, P KUMAM, M AQEEL, A KHAN… - Fixed Point …, 2023 - search.ebscohost.com
This paper provides iterative construction of a common solution associated with the fixed
point problem of an infinite family of|-demicontractive mappings, pseudomonotone …

Shrinking Accelerated Forward-Backward-Forward Method for Split Equilibrium Problem and Monotone Inclusion Problem in Hilbert Spaces

Y Arfat, K Sombut - … and Optimization: An International Journal on …, 2022 - bangmodjmcs.com
We propose and analyze a hybrid splitting method, comprises of forward-backward-forward
iterates, shrinking projection iterates and Nesterov's acceleration method, to solve the …

A Hybrid Steepest-descent Scheme for Convex Minimization over Optimization Problems

Y Arfat, IU Ghafoort, YJ Cho - Nonlinear Convex Analysis and …, 2023 - bangmodjmcs.com
Within the context of Hilbert spaces, we demonstrate the robust convergence of a hybrid
steepest-descent approximant towards a solution for a convex minimization problem. This …