4 papers
Some remarks on weak generalizations of minima and quasi efficiency
Triloki Nath
In this note, we remark, with sufficient mathematical rigor, that many weak generalizations of the usual minimum available in the literature are not true generalizations. Motivated…
On an Exact Penalty Result and New Constraint Qualifications for Mathematical Programs with Vanishing Constraints
Triloki Nath, Abeka Khare
In this paper, the mathematical programs with vanishing constraints or MPVC are considered. We prove that an MPVC-tailored penalty function, introduced in [5], is still exact under…
Enhanced Fritz John Stationarity, New Constraint Qualifications and Local Error Bound for Mathematical Programs with Vanishing Constraints
Abeka Khare, Triloki Nath
In this paper, we study the difficult class of optimization problems called the mathematical programs with vanishing constraints or MPVC. Extensive research has been done for MPVC…
Differentiability of Distance Function and The Proximinal Condition implying Convexity
Triloki Nath
We establish a necessary and sufficient condition for the differentiability of the distance function generated by a nonempty closed set K in a real normed linear space X under a pr…