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The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. In part II, we will show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we will prove the existence theorem for the limit analysis problem.

General method of regularization. II: Relaxation proposed by suquet

Jarosław L. Bojarski (2004)

Applicationes Mathematicae

The aim of this paper is to prove that the relaxation of the elastic-perfectly plastic energy (of a solid made of a Hencky material) is the lower semicontinuous regularization of the plastic energy. We find the integral representation of a non-locally coercive functional. We show that the set of solutions of the relaxed problem is equal to the set of solutions of the relaxed problem proposed by Suquet. Moreover, we prove an existence theorem for the limit analysis problem.

General nonlinear random equations with random multivalued operator in Banach spaces.

Lan, Heng-You, Cho, Yeol Je, Xie, Wei (2009)

Journal of Inequalities and Applications [electronic only]

General system of strongly pseudomonotone nonlinear variational inequalities based on projection systems.

Verma, Ram U. (2007)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

General viscosity approximation methods for common fixed points of nonexpansive semigroups in Hilbert spaces.

Li, Xue-Song, Huang, Nan-Jing, Kim, Jong Kyu (2011)

Fixed Point Theory and Applications [electronic only]

General ways of constructing accelerating Newton-like iterations on partially ordered topological spaces.

Argyros, Ioannis K. (1997)

Southwest Journal of Pure and Applied Mathematics [electronic only]

Generalization of Steffensen's method for operator equations in Banach space

Kuo-Wang Chen (1964)

Commentationes Mathematicae Universitatis Carolinae

Generalizations of the Lax-Milgram theorem.

Drivaliaris, Dimosthenis, Yannakakis, Nikos (2007)

Boundary Value Problems [electronic only]

Generalized $(A, η)$ -resolvent operator technique and sensitivity analysis for relaxed cocoercive variational inclusions.

Verma, Ram U. (2006)

JIPAM. Journal of Inequalities in Pure & Applied Mathematics [electronic only]

Generalized asymptotic pointwise contractions and nonexpansive mappings involving orbits.

Nicolae, Adriana (2010)

Fixed Point Theory and Applications [electronic only]

Generalized bi-quasi-variational inequalities for quasi-pseudo-monotone type II operators on compact sets

Mohammad Chowdhury, Kok-Keong Tan (2010)

Open Mathematics

In this paper, the authors prove some existence results of solutions for a new class of generalized bi-quasi-variational inequalities (GBQVI) for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators defined on compact sets in locally convex Hausdorff topological vector spaces. In obtaining these results on GBQVI for quasi-pseudo-monotone type II and strongly quasi-pseudo-monotone type II operators, we shall use Chowdhury and Tan’s generalized version [3] of Ky Fan’s...

Generalized bi-quasivariational inequalities for quasi-pseudomonotone type II operators on noncompact sets.

Chowdhury, Mohammad S.R., Cho, Yeol Je (2010)

Journal of Inequalities and Applications [electronic only]

Generalized bi-quasi-variational inequalities for quasi-semi-monotone and bi-quasi-semi-monotone operators with applications in non-compact settings and minimization problems.

Chowdhury, Mohammad S.R., Tarafdar, E. (2000)

Journal of Inequalities and Applications [electronic only]

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