An l1 Exact Exponential Penalty E‐Function Method for E‐Differentiable Vector Optimization Problems Under E‐Exponential Type Invexity
Neelima Shekhawat, Ion M. Stancu-Minasian, Vivek Singh · Journal of Multi-Criteria Decision Analysis · 2025
ABSTRACT In this paper, a new concept of generalised convexity and a new class of exact exponential penalty method, namely the concept of ‐E‐invexity and exact exponential penalty E‐function method, respectively are introduced for (not necessarily) differentiable vector optimization problem in which functions are E‐differentiable. The conditions governing the equivalence between sets of (weak) efficient solutions of the original constrained E‐differentiable vector optimization problem and of its associated unconstrained exponential penalised vector optimization problem are studied. Examples are given to illustrate the obtained results.