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

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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.

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Acknowledgements

The authors are thankful to referees for their valuable remarks which improved the results and presentation of this article. This work is financially supported by the Council of Scientific and Industrial Research, New Delhi, India through Grant No.: 25(0266)/17/EMR-II.

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  1. Department of Applied Mathematics, Indian Institute of Technology (Indian School of Mines), Dhanbad, 826004, Jharkhand, India

    Babli Kumari & Anurag Jayswal

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  1. Babli Kumari
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  2. Anurag Jayswal
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Correspondence to Babli Kumari.

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Kumari, B., Jayswal, A. Some properties of geodesic E-preinvex function and geodesic semi E-preinvex function on Riemannian manifolds. OPSEARCH 55, 807–822 (2018). https://doi.org/10.1007/s12597-018-0346-9

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