An equivalent formulation for variational problems with constraints

Duality for vector equilibrium problems with constraints

‎In the paper‎, ‎we study duality for vector equilibrium problems using a concept of generalized convexity in dealing with the quasi-relative interior‎. ‎Then‎, ‎their applications to optimality conditions for quasi-relative efficient solutions are obtained‎. ‎Our results are extensions of several existing ones in the literature when the ordering cones in both the objective space and the constr...

Variational Formulation of Problems and Variational Methods

A novel variational formulation for thermoelastic problems

Article history: Received 26 March 2014 Received in revised form 25 September 2014 Accepted 27 September 2014 Available online 15 October 2014

An Equivalent Path Functional Formulation of Branched Transportation Problems

We consider two models for branched transport: the one introduced in Bernot et al. (Publ Mat 49:417-451, 2005), which makes use of a functional defined on measures over the space of Lipschitz paths, and the path functional model presented in Brancolini et al. (J Eur Math Soc 8:415-434, 2006), where one minimizes some suitable action functional defined over the space of measure-valued Lipschitz ...

An efficient modified neural network for solving nonlinear programming problems with hybrid constraints

This paper presents ‎‎the optimization techniques for solving‎‎ convex programming problems with hybrid constraints‎.‎ According to the saddle point theorem‎, ‎optimization theory‎, ‎convex analysis theory‎, ‎Lyapunov stability theory and LaSalle‎‎invariance principle‎,‎ a neural network model is constructed‎.‎ The equilibrium point of the proposed model is proved to be equivalent to the optima...