H-Mixed Accretive Map** and Proximal Point Method for Solving a System of Generalized Set-Valued Variational Inclusions

MI Bhat, S Shafi, MA Malik - Numerical Functional Analysis and …, 2021 - Taylor & Francis
In this paper, we introduce a new system of variational inclusion problems called system of
generalized set-valued variational inclusion problems involving α β-H ((.,.),(.,.))-mixed …

Yosida approximation equations technique for system of generalized set-valued variational inclusions

HW Cao - Journal of Inequalities and Applications, 2013 - Springer
In this paper, under the assumption with no continuousness, a new system of generalized
variational inclusions in the Banach space is introduced. By using the Yosida approximation …

Graph convergence for the -mixed map**with an application for solving the system of generalized variationalinclusions

S Husain, S Gupta, VN Mishra - Fixed Point Theory and Applications, 2013 - Springer
In this paper, we investigate a class of accretive map**s called the H (⋅,⋅)-mixed
map**sin Banach spaces. We prove that the proximal-point map** associated with the …

Variational-like inclusion involving infinite family of set-valued map**s governed by resolvent equations

S Gupta, M Singh - J. Math. Comput. Sci., 2021 - scik.org
The purpose of this work is to investigate generalized H (.,.,.)-ϕ-η-cocoercive operator and
use its application via resolvent equation approach to solve the variational-like inclusion …

[PDF][PDF] Variational inclusion governed by αβ-H ((.,.),(.,.))-mixed accretive map**

S Gupta, S Husain, VN Mishra - Filomat, 2017 - researchgate.net
In this paper, we look into a new concept of accretive map**s called αβ-H ((.,.),(.,.))-mixed
accretive map**s in Banach spaces. We extend the concept of proximal-point map**s …

[PDF][PDF] A class of Yosida inclusion and graph convergence on Yosida approximation map** with an application

S Gupta, FA Khan - Filomat, 2023 - elib.mi.sanu.ac.rs
The proposed work is presented in two folds. The first aim is to deals with the new notion
called generalized αiβj-Hp (.,.,...)-accretive map**s that are the sum of two symmetric …

Convergence and Stability of a Perturbed Mann Iterative Algorithm with Errors for a System of Generalized Variational-Like Inclusion Problems in -uniformly smooth …

JK Kim, MI Bhat, S Shafi - Communications in Mathematics …, 2021 - search.proquest.com
In this paper, we introduce a class of\({\cal H}(\cdot,\cdot)\)-\(\phi\)-\(\eta\)-accretive operators
in a real\(q\)-uniformly smooth Banach space. We define the resolvent operator associated …

[PDF][PDF] Approximating solutions of general class of variational inclusions involving generalized αiβj-(Hp, φ)-η-accretive map**s

S Gupta, L Rathour - Filomat, 2023 - elib.mi.sanu.ac.rs
The present research is an attempt to define a class of generalized αiβj-(Hp, φ)-η-accretive
map**s as well as it is a study of its associated class of proximal-point map**s. The …

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 …

Generalized H(·, ·, ·)‐η‐Cocoercive Operators and Generalized Set‐Valued Variational‐Like Inclusions

S Husain, S Gupta, VN Mishra - Journal of Mathematics, 2013 - Wiley Online Library
We investigate a new class of cocoercive operators named generalized H (·,·,·)‐η‐
cocoercive operators in Hilbert spaces. We prove that generalized H (·,·,·)‐η‐cocoercive …