Abstract
In this article, we introduce (p, r)-invex, \(\rho -(p,r)\)-invex, and semistrictly geodesic \(\eta \)-prequasi invex functions in the setting of Riemannian manifolds. We construct counter examples to show that these functions generalize the notion of invexity. We also study the optimality conditions of a minimization problem under these generalized invexities on Riemannian manifolds.
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The authors wish to thank the referee for his valuable comments.
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Jana, S., Nahak, C. (2015). A Study of Generalized Invex Functions on Riemannian Manifold. In: Mohapatra, R., Chowdhury, D., Giri, D. (eds) Mathematics and Computing. Springer Proceedings in Mathematics & Statistics, vol 139. Springer, New Delhi. https://doi.org/10.1007/978-81-322-2452-5_3
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DOI: https://doi.org/10.1007/978-81-322-2452-5_3
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