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

Babli Kumari () and Anurag Jayswal ()
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Babli Kumari: Indian Institute of Technology (Indian School of Mines)
Anurag Jayswal: Indian Institute of Technology (Indian School of Mines)

OPSEARCH, 2018, vol. 55, issue 3, No 11, 807-822

Abstract: 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: Geodesic E-invex set; Geodesic E-preinvex function; Geodesic semi E-preinvex function; Riemannian manifold; 58B20; 53C22; 26A51 (search for similar items in EconPapers)
Date: 2018
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DOI: 10.1007/s12597-018-0346-9

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