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Some properties of geodesic E-preinvex function and geodesic semi E-preinvex function on Riemannian manifolds

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In the present paper, the notion of geodesic E-preinvex function and geodesic semi E-preinvex function are introduced on Riemannian manifold. Moreover, several properties, results and relations are studied within aforesaid… Click to show full abstract

In the present paper, the notion of geodesic E-preinvex function and geodesic semi E-preinvex function are introduced on Riemannian manifold. Moreover, several properties, results and relations are studied within aforesaid functions. An example is also constructed to illustrate the definition of geodesic E-preinvex function. In addition, we have studied the optimality results with the help of geodesic E-preinvex and geodesic semi E-preinvex functions.

Keywords: preinvex function; preinvex; geodesic preinvex; geodesic semi; semi preinvex

Journal Title: OPSEARCH
Year Published: 2018

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