Characterizations of geodesic sub-\(b\)-\(s\)-convex functions on Riemannian manifolds

Volume 11, Issue 2, pp 189--197 http://dx.doi.org/10.22436/jnsa.011.02.02
Publication Date: January 21, 2018 Submission Date: April 10, 2017 Revision Date: December 04, 2017 Accteptance Date: December 06, 2017

Authors

Izhar Ahmad - Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia. Anurag Jayswal - Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India. Babli Kumari - Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India.


Abstract

In this paper, we present the notion of geodesic sub-\(b\)-\(s\)-convex function on the Riemannian manifolds. A non-trivial example of geodesic sub-\(b\)-\(s\)-convex function but not geodesic convex function is also discussed. Some fundamental properties of geodesic sub-\(b\)-\(s\)-convex functions are investigated. Moreover, we derive the optimality conditions of unconstrained and constrained programming problems under the sub-\(b\)-\(s\)-convexity.


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ISRP Style

Izhar Ahmad, Anurag Jayswal, Babli Kumari, Characterizations of geodesic sub-\(b\)-\(s\)-convex functions on Riemannian manifolds, Journal of Nonlinear Sciences and Applications, 11 (2018), no. 2, 189--197

AMA Style

Ahmad Izhar, Jayswal Anurag, Kumari Babli, Characterizations of geodesic sub-\(b\)-\(s\)-convex functions on Riemannian manifolds. J. Nonlinear Sci. Appl. (2018); 11(2):189--197

Chicago/Turabian Style

Ahmad, Izhar, Jayswal, Anurag, Kumari, Babli. "Characterizations of geodesic sub-\(b\)-\(s\)-convex functions on Riemannian manifolds." Journal of Nonlinear Sciences and Applications, 11, no. 2 (2018): 189--197


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