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Vector variational inequalities on Riemannian manifolds with approximate geodesic star-shaped functions

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Abstract

In this paper, we study the relationships between the vector variational inequalities and a vector optimization problem for quasi-efficient solutions under a new class of approximate geodesic star-shaped function on a Riemannian manifold. The connection between the vector critical point and a local weak quasi-efficient solution to a vector optimization problem under approximate geodesic pseudo convexity is also obtained. Moreover, examples are constructed to illustrate the results.

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Authors and Affiliations

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

    Anurag Jayswal & Babli Kumari

  2. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, 31261, Saudi Arabia

    Izhar Ahmad

Authors
  1. Anurag Jayswal
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  2. Babli Kumari
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  3. Izhar Ahmad
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Correspondence to Izhar Ahmad.

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Jayswal, A., Kumari, B. & Ahmad, I. Vector variational inequalities on Riemannian manifolds with approximate geodesic star-shaped functions. Rend. Circ. Mat. Palermo, II. Ser 72, 157–167 (2023). https://doi.org/10.1007/s12215-021-00671-1

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  • DOI: https://doi.org/10.1007/s12215-021-00671-1

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