Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3176
Abstract
We introduce a new class of sets named, slack $2$-geodesic convex set on Riemannian manifolds and verify by a nontrivial example. We define a geodesic $E$-pseudoconvex function with a suitable example. Some properties of geodesic $E$-quasiconvex function are discussed. We establish some relationships between slack $2$-geodesic convex set, geodesic $E$-pseudoconvex function and geodesic $E$-quasiconvex function. Moreover, an application of geodesic $E$-quasiconvex function to a nonlinear programming problem is also presented.
Keywords
Slack $2$-geodesic convex set, geodesic $E$-convex function, geodesic $E$-quasiconvex function, geodesic $E$-pseudoconvex function, Riemannian manifolds, global minima
First Page
1508
Last Page
1519
Recommended Citation
IQBAL, AKHLAD; KUMAR, PRAVEEN; and AHMAD, IZHAR
(2022)
"On slack $2$-geodesic convex set and geodesic $E$-pseudoconvex function with application,"
Turkish Journal of Mathematics: Vol. 46:
No.
4, Article 29.
https://doi.org/10.55730/1300-0098.3176
Available at:
https://journals.tubitak.gov.tr/math/vol46/iss4/29
