New Generalization of Geodesic Convex Function

Author:

Almutairi Ohud Bulayhan1ORCID,Saleh Wedad2

Affiliation:

1. Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia

2. Department of Mathematics, Taibah University, Al-Medina 20012, Saudi Arabia

Abstract

As a generalization of a geodesic function, this paper introduces the notion of the geodesic φE-convex function. Some properties of the φE-convex function and geodesic φE-convex function are established. The concepts of a geodesic φE-convex set and φE-epigraph are also given. The characterization of geodesic φE-convex functions in terms of their φE-epigraphs, are also obtained.

Funder

University of Hafr Albatin

Publisher

MDPI AG

Subject

Geometry and Topology,Logic,Mathematical Physics,Algebra and Number Theory,Analysis

Reference33 articles.

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3. Notions of generalized s-convex functions on fractal sets;Saleh;J. Inequal. Appl.,2015

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5. Kolwankar, K.M., and Gangal, A.D. (1999). Fractals: Theory and Applications in Engineering, Springer.

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