An l1 Exact Exponential Penalty E‐Function Method for E‐Differentiable Vector Optimization Problems Under E‐Exponential Type Invexity

Neelima Shekhawat et al.

Journal of Multi-Criteria Decision Analysis2025https://doi.org/10.1002/mcda.70009article
AJG 1ABDC B
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0.37

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.

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@article{neelima2025,
  title        = {{An l1 Exact Exponential Penalty E‐Function Method for E‐Differentiable Vector Optimization Problems Under E‐Exponential Type Invexity}},
  author       = {Neelima Shekhawat et al.},
  journal      = {Journal of Multi-Criteria Decision Analysis},
  year         = {2025},
  doi          = {https://doi.org/https://doi.org/10.1002/mcda.70009},
}

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An l1 Exact Exponential Penalty E‐Function Method for E‐Differentiable Vector Optimization Problems Under E‐Exponential Type Invexity

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