Results 41 to 50 of about 270 (155)

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

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

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

ON THE METHOD OF APPROXIMATION FOR EVOLUTIONARY INCLUSIONS OF PSEUDOMONOTONE TYPE [PDF]

Bulletin of the Australian Mathematical Society, 2008
AbstractFor a large class of operator inclusions, including those generated by maps of pseudomonotone type, we obtain a general theorem on existence of solutions. We apply this result to some particular examples. This theorem is proved using the method of difference approximations.
Kasyanov, Pavlo, Melnik, Valery, Valero, José   +2 more
openaire   +2 more sources

A Predictor‐Corrector Method for Solving Equilibrium Problems

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We suggest and analyze a predictor‐corrector method for solving nonsmooth convex equilibrium problems based on the auxiliary problem principle. In the main algorithm each stage of computation requires two proximal steps. One step serves to predict the next point; the other helps to correct the new prediction.
Zong-Ke Bao, Ming Huang, Xi-Qiang Xia, Adrian Petrusel   +3 more
wiley   +1 more source

Generalized Vector Variational Inequalities over Countable Product of Sets [PDF]

, 2004
Countable product of sets, Existence results, Relative pseudomonotonicity, Set-valued break mappings, Vector variational inequalities,
E. Allevi, Konnov, Iv, I.V. Konnov, A. Gnudi, Gnudi, A, Gnudi A., KONNOV, IGOR V., GNUDI, Adriana, Konnov I., Allevi E., ALLEVI, Elisabetta   +10 more
core   +1 more source

Extended Mixed Vector Equilibrium Problems

Abstract and Applied Analysis, Volume 2014, Issue 1, 2014., 2014
We study extended mixed vector equilibrium problems, namely, extended weak mixed vector equilibrium problem and extended strong mixed vector equilibrium problem in Hausdorff topological vector spaces. Using generalized KKM‐Fan theorem (Ben‐El‐Mechaiekh et al.; 2005), some existence results for both problems are proved in noncompact domain.
Mijanur Rahaman, Adem Kılıçman, Rais Ahmad, Jen-Chih Yao   +3 more
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

On the Scalarization of Pseudoconcavity and Pseudomonotonicity Concepts for Vector Valued Functions

, 1998
In this paper we continue the study of polar generalized convexity of vector valued functions initiated in [6]. Our aim now is to give first order characterization for special classes of vector valued directionally differentiable pseudoconcave functions ...
KOMLÓSI S., CAMBINI, RICCARDO
core   +1 more source