[HTML][HTML] A nonlinear inclusion problem involving (α, λ)-NODM set-valued map**s in ordered Hilbert space

H Li - Applied Mathematics Letters, 2012‏ - Elsevier
The purpose of this work is as follows: First, a class of nonlinear inclusion problems
involving (α, λ)-NODM set-valued map**s in an ordered Hilbert space is introduced, and …

Characterizations of weak-ANODD set-valued map**s with applications to an approximate solution of GNMOQV inclusions involving ⊕ operator in ordered Banach …

HG Li, D Qiu, Y Zou - Fixed Point Theory and Applications, 2013‏ - Springer
In ordered Banach spaces, characterizations of ordered (α A, λ)-weak-ANODD set-valued
map**s are introduced and studied, which is applied to giving an approximate solution for …

Solving GNOVI frameworks involving -weak-GRD set-valued map**s in positive Hilbert spaces

HG Li, XB Pan, ZY Deng, CY Wang - Fixed Point Theory and Applications, 2014‏ - Springer
First, a new concept, positive Hilbert spaces, is introduced and some fundamental
inequalities which are applied to studying the properties of the resolvent operator associated …

Approximation solvability for a system of implicit nonlinear variational inclusions with Η-monotone operators

JK Kim, MI Bhat - Demonstratio Mathematica, 2018‏ - degruyter.com
In this paper, we introduce and study a new system of variational inclusions which is called a
system of nonlinear implicit variational inclusion problems with A-monotone and H …

GNM ordered variational inequality system with ordered Lipschitz continuous map**s in an ordered Banach space

HG Li, D Qiu, M ** - Journal of Inequalities and Applications, 2013‏ - Springer
The main purpose of this paper is to introduce and study a new class of generalized
nonlinear mixed ordered variational inequalities systems with ordered Lipschitz continuous …

On a system of extended general variational inclusions

J Balooee, YJ Cho - Optimization Letters, 2013‏ - Springer
At the present paper, a new system of extended general nonlinear variational inclusions is
introduced and using the resolvent operator technique, equivalence between the aforesaid …

Sensitivity analysis for generalized set-valued parametric ordered variational inclusion with map**s in ordered Banach spaces

HG Li, LP Li, JM Zheng, MM ** - Fixed Point Theory and Applications, 2014‏ - Springer
In this paper, a new class of general set-valued parametric ordered variational inclusions,
θ∈ M (x, g (x, ρ), ρ), with (α, λ)-NODSM map**s is studied in ordered Banach spaces …

Projection Methods and a New System of Extended General Regularized Nonconvex Set‐Valued Variational Inequalities

J Balooee, YJ Cho, MK Kang - Journal of Applied Mathematics, 2012‏ - Wiley Online Library
A new system of extended general nonlinear regularized nonconvex set‐valued variational
inequalities is introduced, and the equivalence between the extended general nonlinear …

Convergence results of multi-valued nonexpansive map**s in Banach spaces

H He, S Liu, R Chen - Journal of Inequalities and Applications, 2014‏ - Springer
The purpose of this paper is to establish two new iteration schemes as follows: xn= α nxn−
1+(1− α n) yn, yn∈ T xn, n≥ 1, xn′= β nu+ α nxn− 1′+(1− α n− β n) yn′, yn′∈ T xn …

Existence theorems for multivalued variational inequality problems on uniformly prox-regular sets

MA Noor, N Petrot, J Suwannawit - Optimization Letters, 2014‏ - Springer
In this paper, a multivalued variational inequality problem on uniformly prox-regular set is
studied. The existence theorems for such aforementioned problem are presented and …