Sufficiency and duality for E-differentiable vector optimization problems under generalized convexity

N. Abdulaleem; Jınxia Cen; Koushik Das

Makale detayları

Sufficiency and duality for E-differentiable vector optimization problems under generalized convexity

Yazarlar:

N. Abdulaleem | Jınxia Cen | Koushik Das

Yayıncı:

Hacettepe University

Ana Başlıklar:

Partial Differential Equations | Operations Research İn Mathematics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.125-141

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341755

pISSN:

2651-477X

Anahtar kelimeler:

Özet:

 In this paper, a new class of nonconvex vector optimization problems is considered. The concepts of E-B-pseudoinvexity and E-B-quasiinvexity are introduced for E-differentiable functions. Then, the sufficiency of the so-called E-Karush-Kuhn-Tucker optimality conditions is established for the considered E-differentiable vector optimization problems under generalized E-B-invexity. To illustrate the aforesaid results, a nonsmooth vector programming problem with E-differentiable functions is studied. For the E-differentiable vector optimization problem, the so-called vector Mond-Weir E-dual problem is defined, and several E-dual theorems are established under generalized E-B-invexity hypotheses.

 In this paper, a new class of nonconvex vector optimization problems is considered. The concepts of E-B-pseudoinvexity and E-B-quasiinvexity are introduced for E-differentiable functions. Then, the sufficiency of the so-called E-Karush-Kuhn-Tucker optimality conditions is established for the considered E-differentiable vector optimization problems under generalized E-B-invexity. To illustrate the aforesaid results, a nonsmooth vector programming problem with E-differentiable functions is studied. For the E-differentiable vector optimization problem, the so-called vector Mond-Weir E-dual problem is defined, and several E-dual theorems are established under generalized E-B-invexity hypotheses.

 In this paper, a new class of nonconvex vector optimization problems is considered. The concepts of E-B-pseudoinvexity and E-B-quasiinvexity are introduced for E-differentiable functions. Then, the sufficiency of the so-called E-Karush-Kuhn-Tucker optimality conditions is established for the considered E-differentiable vector optimization problems under generalized E-B-invexity. To illustrate the aforesaid results, a nonsmooth vector programming problem with E-differentiable functions is studied. For the E-differentiable vector optimization problem, the so-called vector Mond-Weir E-dual problem is defined, and several E-dual theorems are established under generalized E-B-invexity hypotheses.

 In this paper, a new class of nonconvex vector optimization problems is considered. The concepts of E-B-pseudoinvexity and E-B-quasiinvexity are introduced for E-differentiable functions. Then, the sufficiency of the so-called E-Karush-Kuhn-Tucker optimality conditions is established for the considered E-differentiable vector optimization problems under generalized E-B-invexity. To illustrate the aforesaid results, a nonsmooth vector programming problem with E-differentiable functions is studied. For the E-differentiable vector optimization problem, the so-called vector Mond-Weir E-dual problem is defined, and several E-dual theorems are established under generalized E-B-invexity hypotheses.

Makale detayları

Sufficiency and duality for E-differentiable vector optimization problems under generalized convexity

Yazarlar:

N. Abdulaleem | Jınxia Cen | Koushik Das

Yayıncı:

Hacettepe University

Ana Başlıklar:

Partial Differential Equations | Operations Research İn Mathematics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.125-141

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341755

pISSN:

2651-477X

$E$-differentiable function

$E$-$B$-invex function

generalized $E$-$B$-invexity

$E$-optimality condition

Mond-Weir $E$-duality

Sayı

Makale detayları

Sufficiency and duality for E-differentiable vector optimization problems under generalized convexity

Yazarlar: N. Abdulaleem | Jınxia Cen | Koushik Das

Yayıncı: Hacettepe University

Ana Başlıklar: Partial Differential Equations | Operations Research İn Mathematics

Dergi: Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.125-141

Belge Tipi: Makale

Yayın Tarihi: 2/2025

Belge Dili: İngilizce

Document ID (Org No.): 2001341755

pISSN: 2651-477X

$E$-differentiable function

$E$-$B$-invex function

generalized $E$-$B$-invexity

$E$-optimality condition

Mond-Weir $E$-duality

Sayı

Yazarlar:

N. Abdulaleem | Jınxia Cen | Koushik Das

Yayıncı:

Hacettepe University

Ana Başlıklar:

Partial Differential Equations | Operations Research İn Mathematics

Dergi:

Hacettepe Journal of Mathematics and Statistics Vol.54 Issue 1, pp.125-141

Belge Tipi:

Makale

Yayın Tarihi:

2/2025

Belge Dili:

İngilizce

Document ID (Org No.):

2001341755

pISSN:

2651-477X