Results 51 to 60 of about 898 (112)
MathematicsThe primary objective of this article is to enhance the convergence rate of the extragradient method through the careful selection of inertial parameters and the design of a self-adaptive stepsize scheme.
Habib ur Rehman +3 more
doaj +1 more source
Existence Results for Nonsmooth Vector Quasi‐Variational‐Like Inequalities
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 We introduce nonsmooth vector quasi‐variational‐like inequalities (NVQVLI) by means of a bifunction. We establish some existence results for solutions of these inequalities by using Fan‐KKM theorem and a maximal element theorem. By using the technique and methodology adopted in Al‐Homidan et al.
Mohammed Alshahrani +3 more
wiley +1 more source
Modified projection method for pseudomonotone variational inequalities [PDF]
, 2002 We consider and analyze a new projection method for solving pseudomonotone variational inequalities by modifying the extragradient method. The modified method converges for pseudomonotone Lipschitz continuous operators, which is a much weaker condition ...
Noor, M.A.
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Existence Solutions of Vector Equilibrium Problems and Fixed Point of Multivalued Mappings
Abstract and Applied Analysis, Volume 2013, Issue 1, 2013., 2013 Let K be a nonempty compact convex subset of a topological vector space. In this paper‐sufficient conditions are given for the existence of x ∈ K such that F(T)∩VEP(F) ≠ ∅, where F(T) is the set of all fixed points of the multivalued mapping T and VEP(F) is the set of all solutions for vector equilibrium problem of the vector‐valued mapping F.
Kanokwan Sitthithakerngkiet +2 more
wiley +1 more source
Existence Results for Densely Pseudomonotone Variational Inequalities [PDF]
, 2001 We prove the existence of solutions of densely pseudomonotone variational inequalities. Some particular cases in reflexive Banach spaces are presented which include several previously known results.
Dinh The Luc, Luc, Dinh The
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Journal of Applied Mathematics, Volume 2012, Issue 1, 2012., 2012 We introduce the new iterative methods for finding a common solution set of monotone, Lipschitz‐type continuous equilibrium problems and the set of fixed point of nonexpansive mappings which is a unique solution of some variational inequality. We prove the strong convergence theorems of such iterative scheme in a real Hilbert space.
Rabian Wangkeeree +2 more
wiley +1 more source
On Generalized Strongly Convex Functions Involving Bifunction [PDF]
, 2019 In this paper, we define and introduce some new concepts of the generalized strongly convex functions and generalized strongly monotone operators with respect to an arbitrary non-negative bifunction.
Aslam Noor, Muhammad +1 more
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Advances in Operations Research, Volume 2012, Issue 1, 2012., 2012 We introduce the notion of relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings, which is weaker than invariant pseudomonotone maps. Using the KKM technique, we establish the existence of solutions for variational‐like inequality problems with relaxed (ρ‐θ)‐η‐invariant pseudomonotone mappings in reflexive Banach spaces. We also introduce the concept of (ρ‐
N. K. Mahato +2 more
wiley +1 more source
Pseudomonotone and copositive star matrices [PDF]
, 1989 We study general and complementarity properties of matrices which are either pseudomonotone or copositive star on a closed convex cone. In particular we show that if a matrix is pseudomonotone on the nonnegative orthant of Rn, then it belongs to P0∩Q0 ...
Seetharama Gowda, M.
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Modified golden ratio algorithms for pseudomonotone equilibrium problems and variational inequalities [PDF]
, 2022 summary:We propose a modification of the golden ratio algorithm for solving pseudomonotone equilibrium problems with a Lipschitz-type condition in Hilbert spaces. A new non-monotone stepsize rule is used in the method.
Liu, Hongwei, Yang, Jun, Yin, Lulu
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