Results 21 to 30 of about 4,460,427 (238)

System of Generalized Implicit Vector Quasivariational Inequalities

open access: yesJournal of Inequalities and Applications, 2008
We will introduce a system of generalized implicit vector quasivariational inequalities (in short, SGIVQVI) which generalizes and unifies the system of generalized implicit variational inequalities, the system of generalized vector quasivariational-like ...
Xiao-Ping Zheng, Jian-Wen Peng
doaj   +1 more source

Vector Optimization Problems and Generalized Vector Variational-Like Inequalities [PDF]

open access: yesSahand Communications in Mathematical Analysis, 2020
In this paper, some properties of  pseudoinvex functions, defined by means of  limiting subdifferential, are discussed. Furthermore, the Minty vector variational-like inequality,  the Stampacchia vector variational-like inequality, and the  weak ...
Ildar Sadeqi, Somayeh Nadi
doaj   +1 more source

Iterative Schemes for a Class of Mixed Trifunction Variational Inequalities

open access: yesJournal of Applied Mathematics, 2012
We use the auxiliary principle technique to suggest and analyze some iterative methods for solving a new class of variational inequalities, which is called the mixed trifunction variational inequality.
Muhammad Aslam Noor   +2 more
doaj   +1 more source

Parametric Extended General Mixed Variational Inequalities

open access: yesJournal of Applied Mathematics, 2012
It is well known that the resolvent equations are equivalent to the extended general mixed variational inequalities. We use this alternative equivalent formulation to study the sensitivity of the extended general mixed variational inequalities without ...
Muhammad Aslam Noor
doaj   +1 more source

A novel iterative approach for resolving generalized variational inequalities

open access: yesAIMS Mathematics, 2023
For figuring out general variational inequalities, we propose a novel and innovative iterative method. First, we demonstrate that the fixed point formulation and general vaiational inequality are equivalent.
Muhammad Bux   +3 more
doaj   +1 more source

Systems of variational inequalities with hierarchical variational inequality constraints for Lipschitzian pseudocontractions

open access: yesFixed Point Theory, 2019
In this paper, we consider the problem of solving a general system of variational inequalities (GSVI) with a hierarchical variational inequality (HVI) constraint for countably many uniformly Lipschitzian pseudocontractive mappings and an accretive ...
L. Ceng   +3 more
semanticscholar   +1 more source

An Iterative Algorithm for Solving Generalized Variational Inequalities and Fixed Points Problems

open access: yesMathematics, 2019
In this paper, a generalized variational inequality and fixed points problem is presented. An iterative algorithm is introduced for finding a solution of the generalized variational inequalities and fixed point of two quasi-pseudocontractive operators ...
Yonghong Yao   +2 more
semanticscholar   +1 more source

Deep Neural Network Structures Solving Variational Inequalities [PDF]

open access: yesSet-Valued and Variational Analysis, 2018
Motivated by structures that appear in deep neural networks, we investigate nonlinear composite models alternating proximity and affine operators defined on different spaces. We first show that a wide range of activation operators used in neural networks
P. Combettes, J. Pesquet
semanticscholar   +1 more source

Outer approximation methods for solving variational inequalities in Hilbert space [PDF]

open access: yes, 2017
In this paper, we study variational inequalities in a real Hilbert space, which are governed by a strongly monotone and Lipschitz continuous operator F over a closed and convex set C.
A. Gibali, S. Reich, Rafał Zalas
semanticscholar   +1 more source

A Study on Mixed Variational-like Inequality Under Generalized Quasimonotonicity in Banach Spaces

open access: yesMathematics
This paper studies nonlinear mixed variational-like inequalities under generalized quasimonotone mappings in Banach spaces. The main objective of this work is to relax the well-known KKM (Knaster–Kuratowski–Mazurkiewicz) condition which is extensively ...
Gayatri Pany   +2 more
doaj   +1 more source

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