Quasi-equilibrium problems with generalized monotonicity

John Cotrina

Quasi-equilibrium problems with generalized monotonicity

John Cotrina

Research output: Other contribution › peer-review

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 concepts of pseudomonotonicity and upper sign property are related under suitable assumptions. MSC Codes 49J35, 49J40, 90C30

Original language	English
State	Published - 25 Jan 2018

Publication series

Name	arXiv

UN SDGs

This output contributes to the following UN Sustainable Development Goals (SDGs)

SDG 9 Industry, Innovation, and Infrastructure
SDG 17 Partnerships for the Goals

Keywords

Convex feasibility problem
Equilibrium problem
Generalized monotonicity
Upper sign property

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https://arxiv.org/abs/1801.08581

Cite this

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title = "Quasi-equilibrium problems with generalized monotonicity",

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.",

keywords = "Convex feasibility problem, Equilibrium problem, Generalized monotonicity, Upper sign property",

author = "John Cotrina",

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AU - Cotrina, John

PY - 2018/1/25

Y1 - 2018/1/25

N2 - 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.

AB - 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.

KW - Convex feasibility problem

KW - Equilibrium problem

KW - Generalized monotonicity

KW - Upper sign property

M3 - Otra contribución

T3 - arXiv

ER -

Quasi-equilibrium problems with generalized monotonicity

Abstract

Publication series

UN SDGs

Keywords

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Cite this