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, Volume 55, Issue 3–4, pp 807–822 | Cite as

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

  • Babli KumariEmail author
  • Anurag Jayswal
Application Article
  • 33 Downloads

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 

Mathematics Subject Classification

58B20 53C22 26A51 

Notes

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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Copyright information

© Operational Research Society of India 2018

Authors and Affiliations

  1. 1.Department of Applied MathematicsIndian Institute of Technology (Indian School of Mines)DhanbadIndia

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