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

The Journal of Nonlinear Sciences and its Applications

BabliKumari¹  AnuragJayswal¹  IzharAhmad² 

[1] Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad-826004, Jharkhand, India;Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran 31261, Saudi Arabia

关键词: Geodesic convex set;    geodesic sub-\(b\)-\(s\)-convex function;    optimality conditions;    Riemannian manifolds;   

DOI  :  10.22436/jnsa.011.02.02

学科分类：社会科学、人文和艺术（综合）

来源: Shomal University

【 摘 要 】

In this paper, wepresent 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 isalso discussed. Some fundamental properties of geodesic sub-\(b\)-\(s\)-convex functions are investigated. Moreover, we derive the optimality conditions ofunconstrained and constrained programming problems under the sub-\(b\)-\(s\)-convexity.

【 授权许可】

Unknown