Abstract: In this work, a nonsmooth multiobjective optimization problem involving generalized invexity with cone constraints and Applications (for short, (MOP)) is considered. The Kuhn-Tucker necessary and sufficient conditions for (MOP) are established by using a generalized alternative theorem of Craven and Yang. The relationship between weakly efficient solutions of (MOP) and vector valued s...

The exchange of a pair neutrinos with Standard Model weak interactions generates long-range force between fermions. associated potential is extremely feeble, $\propto G_F^2/r^5$ for massless neutrinos, whichrenders it far from observable even in the most sensitive experiments testing fifth forces. presence neutrino background has been argued to induce correction propagator that enhances by orde...

Abstract Non-convex discrete-time optimal control problems in, e.g. , water or power systems, typically involve a large number of variables related through nonlinear equality constraints. The ideal goal is to find globally solution, and numerical experience indicates that algorithms aiming for Karush–Kuhn–Tucker points often solutions are indistinguishable from global optima. In our paper, we p...

Abstract In this article, we extend the generalized invexity and duality results for multiobjective variational problems with fractional derivative pertaining to an exponential kernel by using concept of weak minima. Multiobjective find their applications in economic planning, flight control design, industrial process control, space structures, production inventory, advertising investment, impu...

The symmetric function class interacts heavily with other types of functions. One these is the pre-invex class, which strongly related to symmetry theory. This paper proposes a novel fuzzy fractional extension Hermite-Hadamard, Hermite-Hadamard-Fejér, and Pachpatte type inequalities for up down fuzzy-number-valued mappings. Using operators, several generalizations have been developed, where wel...