Geodesic $ \mathcal{E} $-prequasi-invex function and its applications to non-linear programming problems
Keyword(s):
<p style='text-indent:20px;'>In this article, we define a new class of functions on Riemannian manifolds, called geodesic <inline-formula><tex-math id="M2">\begin{document}$ \mathcal{E} $\end{document}</tex-math></inline-formula>-prequasi-invex functions. By a suitable example it has been shown that it is more generalized class of convex functions. Some of its characteristics are studied on a nonlinear programming problem. We also define a new class of sets, named geodesic slack invex set. Furthermore, a sufficient optimality condition is obtained for a nonlinear programming problem defined on a geodesic local <inline-formula><tex-math id="M3">\begin{document}$ \mathcal{E} $\end{document}</tex-math></inline-formula>-invex set.</p>
2015 ◽
Vol 55
(6)
◽
pp. 935-961
◽
Keyword(s):
1992 ◽
Vol 28
(7)
◽
pp. 879-886
◽
2008 ◽
Vol 130
(5)
◽
1999 ◽
Vol 38
(7)
◽
pp. 2680-2698
◽
2017 ◽
Vol 04
(02)
◽
2018 ◽
pp. 243-251
Keyword(s):