Title of article
Characterizations of geodesic sub-b-s-convex functions on Riemannian manifolds
Author/Authors
Ahmad ، Izhar - King Fahd University of Petroleum and Minerals , Jayswal ، Anurag - Indian Institute of Technology (Indian School of Mines) , Kumari ، Babli - Indian Institute of Technology (Indian School of Mines)
Pages
9
From page
189
To page
197
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.
Keywords
Geodesic convex set , geodesic sub , b , s , convex function , optimality conditions , Riemannian manifolds
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2018
Journal title
Journal of Nonlinear Science and Applications
Record number
2476931
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