International Journal of Nonlinear Analysis and Applications

Geodesic exponentially preinvex functions on Riemannian manifolds

Articles in Press

Document Type : Research Paper

Author

1 Faculty of Mathematics and Computer Science, University of Warmia and Mazury in Olsztyn, S loneczna 54, Olsztyn 10-710, Poland

2 Department of Mathematics, Mahrah University, Al-Mahrah, Yemen

Abstract

In this paper, new concepts of geodesic exponentially preinvex and invex functions on Riemannian manifolds are introduced. Additionally, some properties of these functions are investigated. The class of generalized geodesic exponentially preinvex and invex functions is presented. Optimality results are then proved for an optimization problem involving geodesic exponentially invex functions.

Keywords

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International Journal of Nonlinear Analysis and Applications

Articles in Press, Corrected Proof
Available Online from 20 December 2025
  • Receive Date: 13 July 2024
  • Revise Date: 02 October 2024
  • Accept Date: 21 December 2024