Optimality conditions for preinvex functions using symmetric derivative

• Autorzy: Rastogi Sachin , Iqbal Akhlad , Rajan Sanjeev

Identyfikatory

DOI

10.37190/ord220406

• Języki publikacji: EN

Abstrakty

EN

As a generalization of convex functions and derivatives, in this paper, the authors study the concept of a symmetric derivative for preinvex functions. Using symmetrical differentiation, they discuss an important characterization for preinvex functions and define symmetrically pseudo-invex and symmetrically quasi-invex functions. They also generalize the first derivative theorem for symmetrically differentiable functions and establish some relationships between symmetrically pseudo-invex and symmetrically quasi-invex functions. They also discuss the Fritz John type optimality conditions for preinvex, symmetrically pseudo-invex and symmetrically quasi-invex functions using symmetrical differentiability.

Słowa kluczowe

EN

invex set; preinvex function; symmetric derivative; Fritz John optimality conditions

• Wydawca: Oficyna Wydawnicza Politechniki Wrocławskiej
• Czasopismo: Operations Research and Decisions
• Rocznik: 2022
• Tom: Vol. 32, No. 4
• Strony: 91--101
• Opis fizyczny: Bibliogr. 23 poz.

Twórcy

autor

Rastogi Sachin

• Department of Mathematics, Hindu College, M.J.P. Rohilkhand University, Bareilly-243003, UP, India

• https://orcid.org/0000-0002-2576-8441

autor

Iqbal Akhlad

• Department of Mathematics, Aligarh Muslim University, Aligarh-202002, UP, India

• https://orcid.org/0000-0003-1932-2782

autor

Rajan Sanjeev

• Department of Mathematics, Hindu College, M.J.P. Rohilkhand University, Bareilly-243003, UP, India

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).