Equilibrium and mixed equilibrium problems on Hadamard manifolds

Shreyasi Jana and Chandal Nahak

International Journal of Mathematics in Operational Research, 2017, vol. 11, issue 4, 480-496

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.

Keywords: Hadamard manifold; equilibrium problems; pseudomonotonicity; KKM mappings. (search for similar items in EconPapers)
Date: 2017
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