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 concepts of pseudomonotonicity and upper sign property are related under suitable assumptions.
MSC Codes 49J35, 49J40, 90C30
Original language | English |
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State | Published - 25 Jan 2018 |
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- Convex feasibility problem
- Equilibrium problem
- Generalized monotonicity
- Upper sign property