Optimality Conditions for Preinvex Functions Using Symmetric Derivative

• Autorzy: Sachin Rastogi , Akhlad Iqbal , Sanjeev Rajan
• 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. (original abstract)

Słowa kluczowe

EN

Optimalization; Functions; Derivative

PL

Optymalizacja; Funkcje; Pochodna

• Czasopismo: Operations Research and Decisions
• Rocznik: 2022
• Tom: 32
• Numer: nr 4
• Strony: 91--101

Twórcy

autor

Sachin Rastogi

• M.J.P. Rohilkhand University, Bareilly, India

autor

Akhlad Iqbal

• Aligarh Muslim University, Aligarh, India

autor

Sanjeev Rajan

• M.J.P. Rohilkhand University, Bareilly, India

Bibliografia

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Identyfikatory

DOI

10.37190/ord220406