Generalized vector equilibrium problems on Hadamard manifolds
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Authors
Shreyasi Jana
- Department of Mathematics, Indian Institute of Technology Kharagpur, 721302 Kharagpur, India.
Chandal Nahak
- Department of Mathematics, Indian Institute of Technology Kharagpur, 721302 Kharagpur, India.
Cristiana Ionescu
- Department of Mathematics and Informatics, University Politehnica of Bucharest, 060042 Bucharest, Romania.
Abstract
In this paper, we study several types of Generalized Vector Equilibrium Problems (GVEP) on Hadamard
manifolds. We prove sufficient conditions under which the solution set of (GVEP)'s is nonempty. As an
application, we prove existence theorems for the system of generalized vector variational inequality problems
and the system of generalized Pareto optimization problems.
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ISRP Style
Shreyasi Jana, Chandal Nahak, Cristiana Ionescu, Generalized vector equilibrium problems on Hadamard manifolds, Journal of Nonlinear Sciences and Applications, 9 (2016), no. 3, 1402--1409
AMA Style
Jana Shreyasi, Nahak Chandal, Ionescu Cristiana, Generalized vector equilibrium problems on Hadamard manifolds. J. Nonlinear Sci. Appl. (2016); 9(3):1402--1409
Chicago/Turabian Style
Jana, Shreyasi, Nahak, Chandal, Ionescu, Cristiana. "Generalized vector equilibrium problems on Hadamard manifolds." Journal of Nonlinear Sciences and Applications, 9, no. 3 (2016): 1402--1409
Keywords
- Hadamard manifold
- variational inequality
- equilibrium problem
- KKM mapping.
MSC
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