Counterexamples on some articles on quasi-variational inclusion problems

Authors:
H. Mohebi;M. Vatandoost
Affiliations:
Mahani Mathematical Research Center and Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran;Mahani Mathematical Research Center and Department of Mathematics, Shahid Bahonar University of Kerman, Kerman, Iran
Venue:
Journal of Global Optimization
Year:
2011

Citing 3
Cited 1

Existence of equilibria for multivalued mapping and its application to vectorial equilibria

Journal of Optimization Theory and Applications
On quasivariational inclusion problems of type I and related problems

Journal of Global Optimization
Fixed points and quasi-equilibrium problems

Mathematical and Computer Modelling: An International Journal

Hybrid extragradient-like methods for generalized mixed equilibrium problems, systems of generalized equilibrium problems and optimization problems

Journal of Global Optimization

Quantified Score

Hi-index	0.00

Visualization

Abstract

In this paper, by counterexamples, we show that Proposition 3.1 in [5] which has a crucial role for proving the main results is not correct. Also, we give counterexamples, which show that some claims in the proof of the main results in [7, 12] are not valid. Finally, by applying some slightly modifications, we claim that these results can be proved in a similar manner.