Invariant monotone vector fields on Riemannian manifolds

Various concepts of invariant monotone vector fields on Riemannian manifolds are introduced. Some examples of invariant monotone vector fields are given. Several notions of invexities for functions on Riemannian manifolds are defined and their relations with invariant monotone vector fields are stud...

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Bibliographic Details
Published in:Nonlinear analysis Vol. 70; no. 5; pp. 1850 - 1861
Main Authors: Barani, A., Pouryayevali, M.R.
Format: Journal Article
Language:English
Published: Amsterdam Elsevier Ltd 01.03.2009
Elsevier
Subjects:
Exact sciences and technology
Functional analysis
Functions of a complex variable
Generalized invex functions
Invariant monotone vector fields
Mathematical analysis
Mathematics
Monotone vector fields
Riemannian manifolds
Sciences and techniques of general use
Riemannian manifolds
Monotone vector fields
Generalized invex functions
Invariant monotone vector fields
Riemann manifold
Nonlinear analysis
Mathematical model
Vector field
ISSN:0362-546X, 1873-5215
Online Access:Get full text
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Summary:Various concepts of invariant monotone vector fields on Riemannian manifolds are introduced. Some examples of invariant monotone vector fields are given. Several notions of invexities for functions on Riemannian manifolds are defined and their relations with invariant monotone vector fields are studied.
Bibliography:ObjectType-Article-2
SourceType-Scholarly Journals-1
ObjectType-Feature-1
content type line 23
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2008.02.085