A Review on Non-Linear Programming and Generalized Invexity

Over past few years the concept of NLPP and their related results based on generalized invexity has become one of the prominent and important areas of classical optimization This paper presents a brief review on such problems and their respective results in game theory continuous time programming multivariable optimization composite programming et

Differential conditions for constrained nonlinear programming via Pareto optmization

We deal with differential conditions for local optimality. The conditions that we derive for inequality constrained problems do not require constraint qualifications and are the broadest conditions based on only first-order and second-order derivatives. A similar result is proved for equality constrained problems, although the necessary conditions require the regularity of the equality constraints