# An existence and stability theorem for a class of functional equations.

Stochastica (1980)

- Volume: 4, Issue: 1, page 23-30
- ISSN: 0210-7821

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topForti, Gian Luigi. "An existence and stability theorem for a class of functional equations.." Stochastica 4.1 (1980): 23-30. <http://eudml.org/doc/38832>.

@article{Forti1980,

abstract = {Consider the class of functional equationsg[F(x,y)] = H[g(x),g(y)],where g: E --> X, f: E x E --> E, H: X x X --> X, E is a set and (X,d) is a complete metric space. In this paper we prove that, under suitable hypotheses on F, H and ∂(x,y), the existence of a solution of the functional inequalityd(f[F(x,y)],H[f(x),f(y)]) ≤ ∂(x,y),implies the existence of a solution of the above equation.},

author = {Forti, Gian Luigi},

journal = {Stochastica},

keywords = {Ecuaciones funcionales; Teorema estabilidad; Teorema de existencia; existence; stability theorem; metric space},

language = {eng},

number = {1},

pages = {23-30},

title = {An existence and stability theorem for a class of functional equations.},

url = {http://eudml.org/doc/38832},

volume = {4},

year = {1980},

}

TY - JOUR

AU - Forti, Gian Luigi

TI - An existence and stability theorem for a class of functional equations.

JO - Stochastica

PY - 1980

VL - 4

IS - 1

SP - 23

EP - 30

AB - Consider the class of functional equationsg[F(x,y)] = H[g(x),g(y)],where g: E --> X, f: E x E --> E, H: X x X --> X, E is a set and (X,d) is a complete metric space. In this paper we prove that, under suitable hypotheses on F, H and ∂(x,y), the existence of a solution of the functional inequalityd(f[F(x,y)],H[f(x),f(y)]) ≤ ∂(x,y),implies the existence of a solution of the above equation.

LA - eng

KW - Ecuaciones funcionales; Teorema estabilidad; Teorema de existencia; existence; stability theorem; metric space

UR - http://eudml.org/doc/38832

ER -

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