Quasi-equilibrium problems with generalized monotonicity
Optimization and Control
2019-02-28 v2
Abstract
In this work, we propose a new existence result for quasi-equilibrium problems using generalized monotonicity in an infinite dimensional space. Also, we show that the notions of generalized monotonicity can be characterized in terms of solution sets of equilibrium problems and convex feasibility problems. Moreover, we show that the concept of pseudomonotonicity and upper sign property are related under suitable assumptions.
Cite
@article{arxiv.1801.08581,
title = {Quasi-equilibrium problems with generalized monotonicity},
author = {John Cotrina},
journal= {arXiv preprint arXiv:1801.08581},
year = {2019}
}
Comments
This work is improved and superseded by arXiv:1803.03707