On Some Characterizations of General s-Convex Functions

Musavvir Ali; Ehtesham Akhter

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arXiv · 2301.00649

On Some Characterizations of General s-Convex Functions

Musavvir Ali·Ehtesham Akhter

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Abstract

It is established that general s-convex functions are a new class of generalized convex functions. In a similar vein, a new class of general s-convex sets is introduced, which are generalizations of s-convex sets. Additionally, certain fundamental characteristics of general s-convex functions are discussed for both general cases and differentiable situations. Aside from that, the general s-convexity is used to define and demonstrate the sufficient criteria for optimality for both unconstrained and inequality-constrained programming.

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Musavvir Ali, Ehtesham Akhter. 2023-01-02. On Some Characterizations of General s-Convex Functions. https://arxiv.org/abs/2301.00649

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