Strong Geodesic Convex Functions of Order m. (18th November 2019)

• Record Type: Journal Article
• Authors: Iqbal, Akhlad; Ahmad, Izhar
• Is Part Of: Numerical functional analysis and optimization. Volume 40:Number 15(2019)
• Page Start: 1840
• Page End: 1846
• Publication Date: 2019-11-18
• Subjects: Geodesic convex function -- monotone vector field -- Riemannian manifolds -- variational inequality problem; 33B15 -- 26B25 -- 26D15 -- 26D10; Functional analysis -- Periodicals; Numerical analysis -- Periodicals; Mathematical optimization -- Periodicals; Numerical Analysis, Computer-Assisted; 515.705
• DOI: 10.1080/01630563.2019.1651740
• Languages: English
• ISSNs: 0163-0563

Abstract

Abstract: Strong geodesic convex function and strong monotone vector field of order m on Riemannian manifolds are established. A characterization of strong geodesic convex function of order m for the continuously differentiable functions is discussed. The relation between the solution of a new variational inequality problem and the strict minimizers of order m for a multiobjective programing problem is also established.