This article we give an introduction to the multivalued operators, we present a new concept of monotonicity, the theta - monoticity, Which is a generalization of all known types of monoticity, this theory is very useful, since it allows us to study properties for all types of monticity by analyzing only one type of them. We generalize under certain conditions theorems that were only in finite dimension to infinite dimensional Banach spaces. Finally we show an application to the sobreyectividad in dimension finite that can be used in the theory of semigroups and imposing restrictions can be tested in more general spaces.

This article we give an introduction to the multivalued operators, we present a new concept of monotonicity, the theta - monoticity, Which is a generalization of all known types of monoticity, this theory is very useful, since it allows us to study properties for all types of monticity by analyzing only one type of them. We generalize under certain conditions theorems that were only in finite dimension to infinite dimensional Banach spaces. Finally we show an application to the sobreyectividad in dimension finite that can be used in the theory of semigroups and imposing restrictions can be tested in more general spaces.

En el presente trabajo, se siguen las ideas de [2] para operadores σ-monótonos, probamos la acotación local de un operador θ-monótono multivaluado en el contexto de los espacios de Banach reflexivos de dimensión infinita con ayuda de las bifunciones ([11]) y asumiendo la semicontinuidad inferior débil de θp¨, yq. Para esto mostramos que el uso de funciones multivaluadas es mucho más conveniente que las funciones en el sentido usual. Por otro lado, cabe resaltar que los operadores θ-monótonos definidos en [32] al ser una generalización de los operadores uniformemente monótonos, fuertemente monótonos, monótonos en el sentido de Minty-Browder, ε-monótonos, γ-monótonos, pre-monótonos, σ-monótonos y αmonótonos, todo resultado demostrado para un operador θ-monótono se puede aplicar directamente a los operadores mencionados. También, utilizando las ideas de [2], cons...

In the present study, the computational modeling that describes the evolution and propagation of people susceptible to HIV-AIDS infection as well as Tuberculosis will be carried out. This additionally generates a coinfection in those infected that further complicates the epidemiological situation. Therefore, the presence of sanitary-epidemiological support personnel is important to consolidate prevention and control strategies. This epidemiological phenomenon could be modeled by differential equations, but we will focus on modeling by cellular automata to obtain computational simulations in time-space, and obtain possible scenarios and opt for the appropriate scenario to implement the most effective epidemiological strategies to obtain the results. better results and preserve the quality of life of society.