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On the Characteristic Properties of Geodesic Sub-$ (\alpha,b,s )$-Preinvex
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Abstract
In the present work we study the properties of geodesic sub-$ (\alpha,b,s) $-preinvex functions on Hadamard manifolds and establish some basic properties in both general and differential cases. Further, we study sufficient conditions of optimality and proved some new inequalities under geodesic sub-($ \alpha,b,s $)-preinvexity.
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Subject: Computer Science and Mathematics - Geometry and Topology
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
Submitted:
26 October 2019
Posted:
27 October 2019
You are already at the latest version
Alerts
This version is not peer-reviewed
Submitted:
26 October 2019
Posted:
27 October 2019
You are already at the latest version
Alerts
Abstract
In the present work we study the properties of geodesic sub-$ (\alpha,b,s) $-preinvex functions on Hadamard manifolds and establish some basic properties in both general and differential cases. Further, we study sufficient conditions of optimality and proved some new inequalities under geodesic sub-($ \alpha,b,s $)-preinvexity.
Keywords:
Subject: Computer Science and Mathematics - Geometry and Topology
Copyright: This open access article is published under a Creative Commons CC BY 4.0 license, which permit the free download, distribution, and reuse, provided that the author and preprint are cited in any reuse.
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