Multi-inertial parallel hybrid projection algorithm for generalized split null point problems

Y Arfat, P Kumam, MAA Khan, OS Iyiola - Journal of Applied Mathematics …, 2022 - Springer
In this paper we suggest a theoretical framework to study the generalized split null point
problem (GSNPP) via a multi-step inertial based parallel hybrid projection algorithm in …

Convergence analysis of the shrinking approximants for fixed point problem and generalized split common null point problem

Y Arfat, OS Iyiola, MAA Khan, P Kumam… - Journal of Inequalities …, 2022 - Springer
In this paper, we compute a common solution of the fixed point problem (FPP) and the
generalized split common null point problem (GSCNPP) via the inertial hybrid shrinking …

[PDF][PDF] Iterative solutions via some variants of extragradient approximants in Hilbert spaces

Y Arfat, MAA Khan, P Kumam, W Kumam… - AIMS Math, 2022 - aimspress.com
This paper provides iterative solutions, via some variants of the extragradient approximants,
associated with the pseudomonotone equilibrium problem (EP) and the fixed point problem …

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 …

Halpern-Type Inertial Iteration Methods with Self-Adaptive Step Size for Split Common Null Point Problem

A Alamer, M Dilshad - Mathematics, 2024 - mdpi.com
In this paper, two Halpern-type inertial iteration methods with self-adaptive step size are
proposed for estimating the solution of split common null point problems (S p CNPP) in such …

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 …

Shrinking projection method for hierarchical fixed point problems on Hadamard manifolds

K Khammahawong - Rendiconti del Circolo Matematico di Palermo Series …, 2024 - Springer
This study presents a shrinking projection method for approximating solutions of hierarchical
fixed point problems on Hadamard manifolds. Given certain assumptions, a sequence …

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 …