Equilibrium and mixed equilibrium problems on Hadamard manifolds Online publication date: Wed, 01-Nov-2017
by Shreyasi Jana; Chandal Nahak
International Journal of Mathematics in Operational Research (IJMOR), Vol. 11, No. 4, 2017
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.
Existing subscribers:
Go to Inderscience Online Journals to access the Full Text of this article.
If you are not a subscriber and you just want to read the full contents of this article, buy online access here.Complimentary Subscribers, Editors or Members of the Editorial Board of the International Journal of Mathematics in Operational Research (IJMOR):
Login with your Inderscience username and password:
Want to subscribe?
A subscription gives you complete access to all articles in the current issue, as well as to all articles in the previous three years (where applicable). See our Orders page to subscribe.
If you still need assistance, please email subs@inderscience.com