Results 41 to 50 of about 505 (126)

Proximal Point Methods for Solving Mixed Variational Inequalities on the Hadamard Manifolds

Journal of Applied Mathematics, 2012
We use the auxiliary principle technique to suggest and analyze a proximal point method for solving the mixed variational inequalities on the Hadamard manifold. It is shown that the convergence of this proximal point method needs only pseudomonotonicity,
Muhammad Aslam Noor, Khalida Inayat Noor
doaj   +1 more source

Nonlinear elliptic-parabolic equations and B-pseudomonotonicity

Applied Mathematics Letters, 1996
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Maitre, E., Witomski, P.
openaire   +1 more source

Lewy-Stampacchia’s inequality for a pseudomonotone parabolic problem [PDF]

Advances in Nonlinear Analysis, 2019
Abstract The main aim of this paper is to extend to the case of a pseudomonotone operator Lewy-Stampacchia’s inequality proposed by F. Donati [7] in the framework of monotone operators. For that, an ad hoc type of perturbation of the operator is proposed.
Olivier Guibé, Abdellah Mokrane, Yassine Tahraoui, Guy Vallet   +3 more
openaire   +5 more sources

Maximality Theorems on the Sum of Two Maximal Monotone Operators and Application to Variational Inequality Problems

Abstract and Applied Analysis, Volume 2016, Issue 1, 2016., 2016
Let X be a real locally uniformly convex reflexive Banach space with locally uniformly convex dual space X⁎. Let T:X⊇D(T)→2X⁎ and A:X⊇D(A)→2X⁎ be maximal monotone operators. The maximality of the sum of two maximal monotone operators has been an open problem for many years.
Teffera M. Asfaw, Lucas Jodar
wiley   +1 more source

Generalized Well‐Posedness for Symmetric Vector Quasi‐Equilibrium Problems

Journal of Applied Mathematics, Volume 2015, Issue 1, 2015., 2015
We introduce and study well‐posedness in connection with the symmetric vector quasi‐equilibrium problem, which unifies its Hadamard and Levitin‐Polyak well‐posedness. Using the nonlinear scalarization function, we give some sufficient conditions to guarantee the existence of well‐posedness for the symmetric vector quasi‐equilibrium problem.
Wei-bing Zhang, Nan-jing Huang, Donal O’Regan, Wei-Shih Du   +3 more
wiley   +1 more source

Rothe method and numerical analysis for history-dependent hemivariational inequalities with applications to contact mechanics [PDF]

, 2019
In this paper an abstract evolutionary hemivariational inequality with a history-dependent operator is studied. First, a result on its unique solvability and solution regularity is proved by applying the Rothe method.
Migorski, Stanislaw, Zeng, Shengda
core   +2 more sources

Noncoercive Perturbed Densely Defined Operators and Application to Parabolic Problems

Abstract and Applied Analysis, Volume 2015, Issue 1, 2015., 2015
Let X be a real locally uniformly convex reflexive separable Banach space with locally uniformly convex dual space X∗. Let T:X⊇D(T)→2X∗ be maximal monotone and S : X⊇D(S) → X∗ quasibounded generalized pseudomonotone such that there exists a real reflexive separable Banach space W ⊂ D(S), dense and continuously embedded in X. Assume, further, that there
Teffera M. Asfaw, Naseer Shahzad
wiley   +1 more source

A new extragradient algorithm for split equilibrium problems and fixed point problems

Journal of Inequalities and Applications, 2019
In this paper, we present a new extragradient algorithm for approximating a solution of the split equilibrium problems and split fixed point problems.
Narin Petrot, Mohsen Rabbani, Manatchanok Khonchaliew, Vahid Dadashi   +3 more
doaj   +1 more source

Generalized multivalued equilibrium-like problems: auxiliary principle technique and predictor-corrector methods

Journal of Inequalities and Applications, 2016
This paper is dedicated to the introduction a new class of equilibrium problems named generalized multivalued equilibrium-like problems which includes the classes of hemiequilibrium problems, equilibrium-like problems, equilibrium problems ...
Vahid Dadashi, Abdul Latif
doaj   +1 more source

A Hybrid Subgradient Algorithm for Finding a Common Solution of an Equilibrium Problem and a Family of Strict Pseudocontraction Mappings

Journal of Applied Mathematics, Volume 2014, Issue 1, 2014., 2014
We propose a new strongly convergent algorithm for finding a common point in the solution set of a class of pseudomonotone equilibrium problems and the set of common fixed points of a family of strict pseudocontraction mappings in a real Hilbert space. The strong convergence theorem of proposed algorithms is investigated without the Lipschitz condition
Ekkarath Thailert, Rabian Wangkeeree, Chanoksuda Khantree, Giuseppe Marino   +3 more
wiley   +1 more source