Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3176
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, A, KUMAR, P, & AHMAD, I (2022). On slack $2$-geodesic convex set and geodesic $E$-pseudoconvex function with application. Turkish Journal of Mathematics 46 (4): 1508-1519. https://doi.org/10.55730/1300-0098.3176
