Issue 2, Volume 4, December 1979

1979 · Open access

1. SUR L'EXISTENCE DE SECTIONS SÉPARÉMENT MESURABLES ET SÉPARÉMENT ABSOLUMENT CONTINUES D'UNE APPLICATION MULTIVOQUE. APPLICATIONS AUX EQUATIONS INTÉGRALES MULTIVOQUES PHAN VĂN CHƯƠNG PDF

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   Abstract

   3-14
2. QUELQUES RESULTATS FONDAMENTAUX D'ANALYSE CONVEXE ET SES APPLICATIONS CHARLES CASTAING PDF

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   Abstract

   15-63
3. A SUPPORT PRINCIPLE FOR A DISCRETE INCLUSION WITH A VECTOR - VALUED CRITERION FUNCTION PHẠM HỮU SÁCH PDF

   ▸ Abstract

   It has been shown by Boltianskii [1, 2] that, for a process described by a differential or discrete inclusion, a point which achieves a minimum of a given scalar-valued criterion function will satisfy the support principle [1, 2] if the process under consideration has local sections [1, 2]. The case where local sections do not exist has been studied by the author in [3]. It should be noted that the papers [1-3] deal with scalar minimization problems. In this paper, we shall prove the support principle for a discrete inclusion with a vector-valued criterion function. From the obtained results, it will be easy to derive the support principle for the case where local sections exist as well as for the case where they do not. Also, the discrete minimax problem [2] is included as a special case in our theorem. Our proof of the support principle is based on a general theory of inconsistency of a system of inclusions which is presented (without proofs) in the paragraph §2. It will be easy to see that our method can also be applied to discrete time-lag systems, and discrete distributed parameter systems [3].

   64-87
4. ON THE CONTRACTION PRINCIPLE ĐỖ HỒNG TÂN PDF

   ▸ Abstract

   In the last 15 years many authors have generalized the Banach contraction principle in relation with several classes of generalized contractions. In the present paper we shall establish, in Part I, the inclusion relations between these classes, and a fixed point theorem for spaces with a family of pseudo-metrics, in Part II, some new results on fixed points for multivalued generalized contractions, then in Part III, a fixed point theorem of Krasnoselski type and finally, in Part IV, some fixed point theorems for non-expansive mappings in locally convex spaces.

   88-102
5. SUR L'ESTIMATION QUASI-OPTIMALE BÙI TRỌNG LIỄU PDF

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   103-109
6. COMBINATORIAL METHOD FOR SOLVING NONLINEAR EQUATIONS IN FINITE-DIMENSIONAL AND INFINITE-DIMENSIONAL SPACES HOÀNG TỤY PDF

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   110-135
7. COOPERATIVE GAMES WITH MULTIPAYOFFS BÙI CÔNG CƯỜNG PDF

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   136-151