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Your search keyword '"B-pseudomonotonicity"' showing total 4 results
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4 results on '"B-pseudomonotonicity"'

1. Regularization of Brézis pseudomonotone variational inequalities.

Author

Bianchi, M., Kassay, G., and Pini, R.

Abstract

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Brézis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general set-valued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions. [ABSTRACT FROM AUTHOR]

Published
2021
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2. Regularization of Brézis pseudomonotone variational inequalities

Author

Bianchi, M, Kassay, G, Pini, R, Bianchi, M. P, Bianchi, M, Kassay, G, Pini, R, and Bianchi, M. P

Abstract

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Brézis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general set-valued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions.

Published
2021

3. Regularization of Brezis pseudomonotone variational inequalities

Author

Bianchi, Monica, Pini, Rita, Kassay, Gabor, Bianchi Monica (ORCID:0000-0002-5296-3111), Bianchi, Monica, Pini, Rita, Kassay, Gabor, and Bianchi Monica (ORCID:0000-0002-5296-3111)

Abstract

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Br ́ezis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general setvalued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions.

Published
2020

4. Regularization of Brézis pseudomonotone variational inequalities

Author

Rita Pini, Monica Bianchi, Gábor Kassay, Bianchi, M, Kassay, G, and Pini, R

Subjects
Statistics and Probability, 0211 other engineering and technologies, Banach space, B-pseudomonotonicity, 010103 numerical & computational mathematics, 02 engineering and technology, Approximate solutions, 01 natural sciences, Applied mathematics, Equilibrium problem, 0101 mathematics, Approximate solution, Mathematics, Numerical Analysis, 021103 operations research, Applied Mathematics, Regular polygon, Set-valued variational inequality, Set-valued variational inequalities, Settore MAT/05 - ANALISI MATEMATICA, Navies Stokes operators, Regularization (physics), Variational inequality, Navier-Stokes operator, Geometry and Topology, Analysis
Abstract

In this paper we prove the existence of solutions of regularized set-valued variational inequalities involving Brezis pseudomonotone operators in reflexive and locally uniformly convex Banach spaces. By taking advantage of this result, we approximate a general set-valued variational inequality with suitable regularized set-valued variational inequalities, and we show that their solutions weakly converge to a solution of the original one. Furthermore, by strengthening the coercivity conditions, we can prove the strong convergence of the approximate solutions.

Published
2021

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