Strong Geodesic Convex Functions of Order m

Akhlad Iqbal; Izhar Ahmad

doi:10.1080/01630563.2019.1651740

Strong Geodesic Convex Functions of Order m

Akhlad Iqbal^*, Izhar Ahmad

^*Corresponding author for this work

Research output: Contribution to journal › Review article › peer-review

4 Scopus citations

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.

Original language	English
Pages (from-to)	1840-1846
Number of pages	7
Journal	Numerical Functional Analysis and Optimization
Volume	40
Issue number	15
DOIs	https://doi.org/10.1080/01630563.2019.1651740
State	Published - 18 Nov 2019

Bibliographical note

Publisher Copyright:
© 2019, © 2019 Taylor & Francis Group, LLC.

Keywords

Geodesic convex function
Riemannian manifolds
monotone vector field
variational inequality problem

ASJC Scopus subject areas

Analysis
Signal Processing
Computer Science Applications
Control and Optimization

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10.1080/01630563.2019.1651740

Cite this

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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.",

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AU - Iqbal, Akhlad

AU - Ahmad, Izhar

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AB - 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.

KW - Geodesic convex function

KW - Riemannian manifolds

KW - monotone vector field

KW - variational inequality problem

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U2 - 10.1080/01630563.2019.1651740

DO - 10.1080/01630563.2019.1651740

M3 - Review article

AN - SCOPUS:85071032208

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EP - 1846

JO - Numerical Functional Analysis and Optimization

JF - Numerical Functional Analysis and Optimization

IS - 15

ER -

Strong Geodesic Convex Functions of Order m

Abstract

Bibliographical note

Keywords

ASJC Scopus subject areas

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