A SURVEY ON CONSTRAINED EXTREMA

The aim of this article is to revisit some problems of constrainedextrema and discuss their peculiarities as they appear in our works [1]-[17], as well as to indicate possible up to date state of investigations in this field. As basic tool of this work is the idea of considering the values of a function along all curves from a given family, which allows an unitary approach of various types of extrema problems (either holonomic or nonholonomic). Some open problems with comments will be stated. The research on this topic has started with the distinguished collaboration of C. Udri¸ste and has been continued in the last years with the coauthors I. T¸evy, M. Ferrara, V. Dogaru and al.