Algorithms for approximating solutions of split variational inclusion and fixed-point problems

LJ Zhu, Y Yao - Mathematics, 2023 - mdpi.com
In this paper, the split fixed point and variational inclusion problem is considered. With the
help of fixed point technique, Tseng-type splitting method and self-adaptive rule, an iterative …

Inertial iterative algorithms for split variational inclusion and fixed point problems

D Filali, M Dilshad, LSM Alyasi, M Akram - Axioms, 2023 - mdpi.com
This paper aims to present two inertial iterative algorithms for estimating the solution of split
variational inclusion (S p VI s P) and its extended version for estimating the common solution …

Modified Mann-Type Algorithm for Two Countable Families of Nonexpansive Mappings and Application to Monotone Inclusion and Image Restoration Problems

K Ungchittrakool, S Plubtieng, N Artsawang… - Mathematics, 2023 - mdpi.com
In this paper, we introduce and study a modified Mann-type algorithm that combines inertial
terms for solving common fixed point problems of two countable families of nonexpansive …

Revised algorithm for finding a common solution of variational inclusion and fixed point problems

M Younis, AH Dar, N Hussain - Filomat, 2023 - doiserbia.nb.rs
Recent research has uncovered an algorithm for locating the common solution to variational
inclusion problems with multivalued maximal monotone mapping and α-inverse strongly …

Three-Step Iterative Algorithm for the Extended Cayley–Yosida Inclusion Problem in 2-Uniformly Smooth Banach Spaces: Convergence and Stability Analysis

I Ali, Y Wang, R Ahmad - Mathematics, 2024 - mdpi.com
In this article, we investigate and study an extended Cayley–Yosida inclusion problem. We
show that our problem is equivalent to a fixed-point equation. Based on the fixed-point …

A Modified Viscosity-Type Self-Adaptive Iterative Algorithm for Common Solution of Split Problems with Multiple Output Sets in Hilbert Spaces

M Asad, M Dilshad, D Filali, M Akram - Mathematics, 2023 - mdpi.com
A modified viscosity-type self-adaptive iterative algorithm is presented in this study, having a
strong convergence theorem for estimating the common solution to the split generalized …

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 …

Weakly and strongly convergence results for Split Variational Inclusion and fixed point problems

RH Haghi, A Safari, K Fallahi - Journal of Mathematical Extension, 2024 - ijmex.com
In this paper, we introduce a new iterative algorithmfor finding a common solution for
variational inclusion and fixed point problems in Hilbert spaces. Then, weakly and strongly …

A new type algorithm for finding a common solution of Cayley inclusion and J-fixed point problem in Hilbert Spaces

U Rafat - 6th International HYBRID Conference on Mathematical … - academia.edu
A new type algorithm for finding a common solution of Cayley inclusion and J-fixed point
problem in Hilbert Spaces Page 202 6th International HYBRID Conference on Mathematical …