A system of generalized variational inclusions involving generalized H (·,·)-accretive map** in real q-uniformly smooth Banach spaces

KR Kazmi, FA Khan, M Shahzad - Applied Mathematics and Computation, 2011 - Elsevier
In this paper, we consider a class of accretive map**s called generalized H (·,·)-accretive
map**s in Banach spaces. We prove that the proximal-point map** of the generalized H …

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 …

System of generalized nonlinear variational-like inequalities and nearly asymptotically nonexpansive map**s: graph convergence and fixed point problems

J Balooee, M Postolache, Y Yao - Annals of Functional Analysis, 2022 - Springer
In this paper, with the goal of investigating the problem of finding a common element of the
set of fixed points of a nearly asymptotically nonexpansive map** and the set of solutions …

[HTML][HTML] The p-step iterative algorithm for a system of generalized mixed quasi-variational inclusions with (A, η)-accretive operators in q-uniformly smooth Banach …

XP Ding, HR Feng - Journal of computational and applied mathematics, 2008 - Elsevier
In this paper, we introduce and study a new system of generalized mixed quasi-variational
inclusions with (A, η)-accretive operators in q-uniformly smooth Banach spaces. By using the …

Graph Convergence for the -Co-accretive Map** with an Application

R Ahmad, M Akram, M Dilshad - Bulletin of the Malaysian Mathematical …, 2015 - Springer
In this paper, we introduce a concept of graph convergence for the H (⋅, ⋅) H (·,·)-co-
accretive map** in Banach spaces and prove an equivalence theorem between graph …

On a new system of generalized mixed quasi-variational-like inclusions with (H, η)-accretive operators in real q-uniformly smooth Banach spaces

JW Peng - Nonlinear Analysis: Theory, Methods & Applications, 2008 - Elsevier
In this paper, we introduce and study a new system of generalized mixed quasi-variational-
like inclusions with (H, η)-accretive operators which contains variational inequalities …

Convergence and stability of an iterative algorithm for a system of generalized implicit variational-like inclusions in Banach spaces

KR Kazmi, N Ahmad, M Shahzad - Applied mathematics and computation, 2012 - Elsevier
In this paper, we give the notion of M-η-proximal map** for a nonconvex, proper, lower
semicontinuous and subdifferentiable functional on Banach space, which is an extension of …

Convergence and stability of iterative algorithm of system of generalized implicit variational-like inclusion problems using (θ, φ, γ)-relaxed cocoercivity

JK Kim, MI Bhat, S Shafi - Nonlinear Functional Analysis and …, 2021 - nfaa.kyungnam.ac.kr
In this paper, we give the notion of M (.,.)-η-proximal map** for a nonconvex, proper, lower
semicontinuous and subdifferentiable functional on Banach space and prove its existence …

Generalized nearly asymptotically nonexpansive map**s and a system of generalized variational-like inclusions: iterative method and approximation of common …

J Balooee, S Chang, C Wen - Annals of Functional Analysis, 2022 - Springer
The purpose of this paper is twofold. Our first objective is to establish a new equivalence
relationship between the graph convergence of a sequence of A^-maximal m-relaxed η …

[HTML][HTML] Existence and stability of iterative algorithms for the system of nonlinear quasi-mixed equilibrium problems

S Suantai, N Petrot - Applied Mathematics Letters, 2011 - Elsevier
In this paper, we consider the system of nonlinear quasi-mixed equilibrium problems. The
existence theorems of solutions of such problems are provided by considering the limit point …