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Equilibrium and mixed equilibrium problems on Hadamard manifolds

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  • Shreyasi Jana
  • Chandal Nahak

Abstract

In this paper, we study equilibrium problems and mixed equilibrium problems on Hadamard manifolds. Using the KKM technique, we establish the existence of solutions of the stated problems under the generalised monotonicity assumptions on the functions involved. We construct some examples to justify our work in Hadamard manifold. We also investigate the proximal point algorithm to solve mixed equilibrium problems on Hadamard manifolds. Our results and ideas may stimulate further research in this fascinating and interesting field of nonlinear space.

Suggested Citation

  • Shreyasi Jana & Chandal Nahak, 2017. "Equilibrium and mixed equilibrium problems on Hadamard manifolds," International Journal of Mathematics in Operational Research, Inderscience Enterprises Ltd, vol. 11(4), pages 480-496.
    • Handle: RePEc:ids:ijmore:v:11:y:2017:i:4:p:480-496
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