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In this paper, the following result is presented:... under specified conditions, the function c that is differentiable at point a is presented, and c' (a) is also calculated. [ABSTRACT FROM AUTHOR]

In this article we study approximation methods for solving bi-criteria optimization problems. Initial problem is approximated by a new one consisting of the second order approximation of feasible set and components of objective function might be initial function, first or second approximation of it. Conditions such that efficient solution of the approximate problem will remain efficient for initial problem and reciprocally are studied. Numerical examples are developed to emphasize the importance of these conditions. [ABSTRACT FROM AUTHOR]

In this paper, for a semi-infinite optimization Problem (P), second order - approximated optimization problems (P0,2), (P2,0), (P1,2), (P2,1) and (P2,2) are constructed. Some connections are established between the optimal solutions of these problems and optimal solutions of the original Problem (P). [ABSTRACT FROM AUTHOR]

In this material we consider a new approach for energy optimization based on bi-criteria problems. Similar method was successfully developed for portfolio theory. We managed to extend and improve it. Due to optimization for energy production which has an important impact on greenhouse gases, our models bring some contributions to General Climate Models. [ABSTRACT FROM AUTHOR]

In this paper, we will present the most important moments of the evolution and development of the mathematical education and research activities in Romanian at Babeş-Bolyai University Cluj-Napoca. The main figures of the mathematical university staff are also presented. [ABSTRACT FROM AUTHOR]

In this paper we consider a mean-value theorem. For this one we study the properties of the intermediate point and formulate some important results related to its derivatives. [ABSTRACT FROM AUTHOR]

In this paper, to the semi-infinite optimization problem (P) , we attach the approximated semi-infinite optimization problems (P1,0) , (P0,1) and (P1,1) and some connections between the optimal solutions of the problems (P) , (P1,0) , (P0,1) and (P1,1) are given. [ABSTRACT FROM AUTHOR]

In this paper, a so-called η-approximated optimization problem (Ref. [1] and [3]) associated to an optimization problem is considered. The equivalence between the saddle points of the lagrangian of the η-approxiated optimization problem and optimal solutions of the original optimization problem is established. [ABSTRACT FROM AUTHOR]