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On Properties of Geodesic 𠜂 -Preinvex Functions

Author

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  • I. Ahmad
  • Akhlad Iqbal
  • Shahid Ali

Abstract

The present paper deals with the properties of geodesic 𠜂 -preinvex functions and their relationships with 𠜂 -invex functions and strictly geodesic 𠜂 -preinvex functions. The geodesic 𠜂 -pre-pseudo-invex and geodesic 𠜂 -pre-quasi-invex functions on the geodesic invex set are introduced and some of their properties are discussed.

Suggested Citation

  • I. Ahmad & Akhlad Iqbal & Shahid Ali, 2009. "On Properties of Geodesic 𠜂 -Preinvex Functions," Advances in Operations Research, Hindawi, vol. 2009, pages 1-10, April.
  • Handle: RePEc:hin:jnlaor:381831
    DOI: 10.1155/2009/381831
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    Cited by:

    1. Izhar Ahmad & Meraj Ali Khan & Amira A. Ishan, 2019. "Generalized Geodesic Convexity on Riemannian Manifolds," Mathematics, MDPI, vol. 7(6), pages 1-12, June.

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