Geodesic
Characterizations of geodesic sub-$b$-$s$-convex functions on Riemannian manifolds
Ahmad, Izhar 1 ; Jayswal, Anurag 2 ; Kumari, Babli 2
1 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
2 Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India
Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 2, p. 189-197.

Voir la notice de l'article provenant de la source International Scientific Research Publications

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.
DOI : 10.22436/jnsa.011.02.02
Classification : 26A51, 53C22, 58B20, 90C46
Keywords: Geodesic convex set, geodesic sub-\(b\)-\(s\)-convex function, optimality conditions, Riemannian manifolds

Ahmad, Izhar  1 ; Jayswal, Anurag  2 ; Kumari, Babli  2

1 Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia
2 Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India 
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Ahmad, Izhar ; Jayswal, Anurag ; Kumari, Babli . Characterizations of geodesic sub-\(b\)-\(s\)-convex functions on Riemannian manifolds. Journal of nonlinear sciences and its applications, Tome 11 (2018) no. 2, p. 189-197. doi : 10.22436/jnsa.011.02.02. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.011.02.02/

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