AN IMPLICIT METHOD FOR SOLVING NONCONVEX VARIATIONAL INEQUALITIES
This paper presents a predictor-corrector algorithm for solving the strongly nonlinear general noncovex variational inequality, which is a class of nonconvex variational inequalities involving three nonlinear operators. We establish the equivalence
Al-Shemas, Eman
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Hybrid Proximal Methods for Equilibrium Problems [PDF]
This paper concerns developing two hybrid proximal point methods (PPMs) for finding a common solution of some optimization-related problems. First we construct an algorithm to solve simultaneously an equilibrium problem and a variational inequality ...
Mordukhovich, Boris S +3 more
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A modified two-layer iteration via a boundary point approach to generalized multivalued pseudomonotone mixed variational inequalities. [PDF]
Saddeek AM.
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On duality for generalized pseudomonotonic programming
Summary: We considers a Mond type dual for pseudomonotonic programming with generalized linear constraints. Two duality results are obtained. In order to prove the ``strong duality theorem'' a linearization result for pseudomonotonic programming and the duality property of generalized linear programming are used. The strong duality theorem shows that a
openaire +3 more sources
STABILITY OF EXCESS DEMAND FUNCTIONS WITH RESPECT TO A STRONG VERSION OF WALD'S AXIOM
In this paper, a use of s-quasimonotonicity [introduced in Optimization, Vol. 55 (2006)] in an economics model is presented. We introduce a strong version of Wald's Axiom of excess demand functions $Z : P \subset \mathbb{R}_{>0}^n \to \mathbb{R}^n ...
PHAN THANH AN, VUONG THI THAO BINH
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A characterization of nonemptiness and boundedness of the solution set for set-valued vector equilibrium problems via scalarization and stability results. [PDF]
Preechasilp P, Wangkeeree R.
europepmc +1 more source
Periodic Solutions For Nonlinear Evolution Inclusions [PDF]
In this paper we prove the existence of periodic solutions for a class of nonlinear evolution inclusions defined in an evolution triple of spaces (X;H;X*) and driven by a demicontinuous pseudomonotone coercive operator and an upper semicontinuous ...
Papageorgiou, N +5 more
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Generalized equilibrium problem with mixed relaxed monotonicity. [PDF]
Rizvi HA, Kılıçman A, Ahmad R.
europepmc +1 more source
Strongly nonlinear parabolic variational inequalities. [PDF]
Browder FE, Brézis H.
europepmc +1 more source
Generalized vector variational inequalities over countable product of sets
In this paper, we consider vector variational inequalities with set-valued mappings over countable product sets in a real Banach space setting. By employing concepts of relative pseudomonotonicity, we establish several existence results for generalized ...
Gnudi A., Konnov I., Allevi E.
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