Version 1
: Received: 26 October 2019 / Approved: 27 October 2019 / Online: 27 October 2019 (10:41:01 CET)
How to cite:
Saleh, W.; Kilicman, A. On the Characteristic Properties of Geodesic Sub-$ (\alpha,b,s )$-Preinvex. Preprints2019, 2019100301. https://doi.org/10.20944/preprints201910.0301.v1
Saleh, W.; Kilicman, A. On the Characteristic Properties of Geodesic Sub-$ (\alpha,b,s )$-Preinvex. Preprints 2019, 2019100301. https://doi.org/10.20944/preprints201910.0301.v1
Saleh, W.; Kilicman, A. On the Characteristic Properties of Geodesic Sub-$ (\alpha,b,s )$-Preinvex. Preprints2019, 2019100301. https://doi.org/10.20944/preprints201910.0301.v1
APA Style
Saleh, W., & Kilicman, A. (2019). On the Characteristic Properties of Geodesic Sub-$ (\alpha,b,s )$-Preinvex. Preprints. https://doi.org/10.20944/preprints201910.0301.v1
Chicago/Turabian Style
Saleh, W. and Adem Kilicman. 2019 "On the Characteristic Properties of Geodesic Sub-$ (\alpha,b,s )$-Preinvex" Preprints. https://doi.org/10.20944/preprints201910.0301.v1
Abstract
In the present work we study the properties of geodesic sub-$ (\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.
Computer Science and Mathematics, Geometry and Topology
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
