Co-Variational Inequality Problem Involving Two Generalized Yosida Approximation Operators

R Ahmad, Y Wang, M Ishtyak, HA Rizvi… - Fractal and Fractional, 2023 - mdpi.com
We focus our study on a co-variational inequality problem involving two generalized Yosida
approximation operators in real uniformly smooth Banach space. We show some …

Convergence analysis for Yosida variational inclusion problem with its corresponding Yosida resolvent equation problem through inertial extrapolation scheme

AK Rajpoot, M Ishtyak, R Ahmad, Y Wang, JC Yao - Mathematics, 2023 - mdpi.com
In this paper, we study a Yosida variational inclusion problem with its corresponding Yosida
resolvent equation problem. We mention some schemes to solve both the problems, but we …

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 …

System of Generalized Variational Inclusions Involving Cayley Operators and XOR-Operation in q-Uniformly Smooth Banach Spaces

J Iqbal, AK Rajpoot, M Islam, R Ahmad, Y Wang - Mathematics, 2022 - mdpi.com
In this paper, we consider and study a system of generalized variational inclusions involving
Cayley operators and an XOR-operation in q-uniformly smooth Banach spaces. To obtain …

Solving System of Mixed Variational Inclusions Involving Generalized Cayley Operator and Generalized Yosida Approximation Operator with Error Terms in q …

R Ahmad, M Ishtyak, AK Rajpoot, Y Wang - Mathematics, 2022 - mdpi.com
In this paper, we solve a system of mixed variational inclusions involving a generalized
Cayley operator and the generalized Yosida approximation operator. An iterative algorithm …

Solutions for a New Fractional Differential Dynamical System and Yosida Quasi-Inverse Variational Inequality in Hilbert Space

FA Khan, EA Algehyne, FM Alamrani… - Contemporary …, 2024 - ojs.wiserpub.com
In this article, first we introduce and study a Yosida Quasi-inverse variational inequality
problem (in short, YQIVI) in Hilbert space and then developed a new fractional differential …

Convergence Analysis of Resolvent Equation Technique for Co-Variational Inequality Problem in Banach Spaces

HA Rizvi, M Rahaman, I Ali - Contemporary Mathematics, 2024 - ojs.wiserpub.com
In this work, a co-variational inequality problem and a co-resolvent equation problem are
introduced and investigated. It is shown that the fixed point problem is equivalent to the …

GRAPH CONVERGENCE AND GENERALIZED CAYLEY OPERATOR WITH AN APPLICATION TO A SYSTEM OF CAYLEY INCLUSIONS IN SEMI-INNER PRODUCT …

MA Malik, MI Bhat, HG Hyun - Nonlinear Functional Analysis …, 2023 - nfaa.kyungnam.ac.kr
In this paper, we introduce and study a generalized Cayley operator associated to H (·,·)-
monotone operator in semi-inner product spaces. Using the notion of graph convergence …

[PDF][PDF] CAYLEY-YOSIDA INCLUSION PROBLEM, COMPATIBLE GENERALIZED RESOLVENT EQUATION AND RELATED GAP FUNCTION WITH ERROR BOUND

AF Ansari, Z Khan - Palestine Journal of Mathematics, 2024 - researchgate.net
This paper introduces a novel inclusion problem, the Cayley-Yosida inclusion problem,
which is constructed using generalized versions of the Cayley and Yosida operators. We …

[PDF][PDF] Generalized Cayley operator with applications to Cayley inclusions in uniformly smooth Banach spaces.

T Ram, M Iqbal - Math. Found. Comput., 2024 - scholar.archive.org
In this paper, we present a generalized Cayley operator and a generalized Cayley inclusion
problem (GCIP). A fixed point formulation of (GCIP) is established and using this an iterative …