Variational inequalities and pseudomonotone functions
, 1998 The paper provides some characterizations of (strictly) pseudomonotone and (strictly) monotone functions by properties of the solutions to the associated variational inequality problems.
Reinhard John
core
Relations between nonsmooth vector variational inequalities and nonsmooth vector optimization problems on Hadamard manifold in terms of bifunction [PDF]
In this paper, we discuss the concepts of bifunction and geodesic convexity for vector valued functions on Hadamard manifold. The Hadamard manifold is a particular type of Riemannian manifold with non-positive sectional curvature.
Singh, Nagendra +2 more
core
Pseudomonotone operators and the Bregman Proximal Point Algorithm
Pseudomonotone operators, Variational inequalities, Bregman distances, Proximal Point algorithm, Interior-point-effect, 47J20, 65J20, 65K10, 90C26, 90C30,
Nils Langenberg
core +1 more source
Extragradient subgradient methods for solving bilevel equilibrium problems. [PDF]
J Inequal Appl, 2018 Yuying T, Dinh BV, Kim DS, Plubtieng S.
europepmc +1 more source
An alternative extragradient projection method for quasi-equilibrium problems. [PDF]
J Inequal Appl, 2018 Chen H, Wang Y, Xu Y.
europepmc +1 more source
A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results. [PDF]
Springerplus, 2016 Preechasilp P, Wangkeeree R.
europepmc +1 more source
On paramonotone and pseudomonotone* maps
, 2009 We present a brief survey on two classes of single-valued and multivalued maps: the paramonotone maps and the pseudomonotone* maps. The former concept was introduced for the rst time in [5], the latter in [7] and it was slightly modied in [10].
GIULI, MASSIMILIANO, CASTELLANI, MARCO
core
Generalized variational-like inequalities for pseudomonotone type II operators
, 2005 In this paper, we shall prove some existence results of solutions for a new class of generalized variational-like inequalities with (eta, h)-pseudomonotone type II operators defined on noncompact sets in Hausdorff topological vector spaces.
Thompson, H. B. +1 more
core +1 more source
Robust Subgradient Extragradient Methods With Increasing Step‐Size Rules for Equilibrium Problems
We propose two modified subgradient extragradient methods for solving equilibrium problems associated with pseudomonotone bifunctions of Lipschitz type in real Hilbert spaces. The principal novelty of the proposed algorithms lies in an
Habib ur Rehman +2 more
core +1 more source
Finite-time and predefined-time dynamical systems for solving strongly pseudomonotone mixed equilibrium problems. [PDF]
PLoS OneWen Q, Khan VK, Cai QB, Ahmad MK.
europepmc +1 more source