English

Exponentially E-preinvex and E-invex functions in mathematical programming

Optimization and Control 2024-06-26 v1

Abstract

In this paper, we introduce a new concept of generalized convexity for E-differentiable vector optimization problems. Namely, the notion of exponentially E-invexity is defined. Further, some properties and results of exponentially E-invex functions are studied. The sufficient optimality conditions are derived under appropriate (generalized) exponentially E-invexity hypotheses. To exemplify the application of our proposed concept, we have included an appropriate example.

Keywords

Cite

@article{arxiv.2406.17273,
  title  = {Exponentially E-preinvex and E-invex functions in mathematical programming},
  author = {Najeeb Abdulaleem},
  journal= {arXiv preprint arXiv:2406.17273},
  year   = {2024}
}
R2 v1 2026-06-28T17:18:15.127Z