Geodesic G-invex sets and semistrictly geodesic η-preinvex functions

R. P. Agarwal; I. Ahmad; Akhlad Iqbal; Shahid Ali

doi:10.1080/02331934.2010.544314

Geodesic G-invex sets and semistrictly geodesic η-preinvex functions

R. P. Agarwal, I. Ahmad, Akhlad Iqbal, Shahid Ali

Research output: Contribution to journal › Article › peer-review

6 Scopus citations

Abstract

In this article, we introduce semistrictly geodesic η-preinvex functions on Riemannian manifolds, geodesic G-invex sets and study their properties. Our results extend and improve the results of Yang and Li [X. Yang and D. Li, Semistrictly preinvex functions, J. Math. Anal. Appl. 258 (2001), pp. 287-308]. Example is constructed in support of our defnition.

Original language	English
Pages (from-to)	1169-1174
Number of pages	6
Journal	Optimization
Volume	61
Issue number	9
DOIs	https://doi.org/10.1080/02331934.2010.544314
State	Published - Sep 2012

Keywords

Riemannian manifolds
geodesic G-invex sets
geodesic η-preinvex functions
semistrictly geodesic η-preinvex functions

ASJC Scopus subject areas

Control and Optimization
Management Science and Operations Research
Applied Mathematics

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10.1080/02331934.2010.544314

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title = "Geodesic G-invex sets and semistrictly geodesic η-preinvex functions",

abstract = "In this article, we introduce semistrictly geodesic η-preinvex functions on Riemannian manifolds, geodesic G-invex sets and study their properties. Our results extend and improve the results of Yang and Li [X. Yang and D. Li, Semistrictly preinvex functions, J. Math. Anal. Appl. 258 (2001), pp. 287-308]. Example is constructed in support of our defnition.",

keywords = "Riemannian manifolds, geodesic G-invex sets, geodesic η-preinvex functions, semistrictly geodesic η-preinvex functions",

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T1 - Geodesic G-invex sets and semistrictly geodesic η-preinvex functions

AU - Agarwal, R. P.

AU - Ahmad, I.

AU - Iqbal, Akhlad

AU - Ali, Shahid

PY - 2012/9

Y1 - 2012/9

N2 - In this article, we introduce semistrictly geodesic η-preinvex functions on Riemannian manifolds, geodesic G-invex sets and study their properties. Our results extend and improve the results of Yang and Li [X. Yang and D. Li, Semistrictly preinvex functions, J. Math. Anal. Appl. 258 (2001), pp. 287-308]. Example is constructed in support of our defnition.

AB - In this article, we introduce semistrictly geodesic η-preinvex functions on Riemannian manifolds, geodesic G-invex sets and study their properties. Our results extend and improve the results of Yang and Li [X. Yang and D. Li, Semistrictly preinvex functions, J. Math. Anal. Appl. 258 (2001), pp. 287-308]. Example is constructed in support of our defnition.

KW - Riemannian manifolds

KW - geodesic G-invex sets

KW - geodesic η-preinvex functions

KW - semistrictly geodesic η-preinvex functions

UR - https://www.scopus.com/pages/publications/84864661990

U2 - 10.1080/02331934.2010.544314

DO - 10.1080/02331934.2010.544314

M3 - Article

AN - SCOPUS:84864661990

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EP - 1174

JO - Optimization

JF - Optimization

IS - 9

ER -

Geodesic G-invex sets and semistrictly geodesic η-preinvex functions

Abstract

Keywords

ASJC Scopus subject areas

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