# Applications of the spectral radius to some integral equations

Commentationes Mathematicae Universitatis Carolinae (1995)

- Volume: 36, Issue: 4, page 695-703
- ISSN: 0010-2628

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topZima, Mirosława. "Applications of the spectral radius to some integral equations." Commentationes Mathematicae Universitatis Carolinae 36.4 (1995): 695-703. <http://eudml.org/doc/247754>.

@article{Zima1995,

abstract = {In the paper [13] we proved a fixed point theorem for an operator $\mathcal \{A\}$, which satisfies a generalized Lipschitz condition with respect to a linear bounded operator $A$, that is: \[ m(\mathcal \{A\} x-\mathcal \{A\} y)\prec Am(x-y). \]
The purpose of this paper is to show that the results obtained in [13], [14] can be extended to a nonlinear operator $A$.},

author = {Zima, Mirosława},

journal = {Commentationes Mathematicae Universitatis Carolinae},

keywords = {fixed point theorem; spectral radius; integral-functional equation; spectral radius; integral-functional equation; fixed point theorem; generalized Lipschitz condition},

language = {eng},

number = {4},

pages = {695-703},

publisher = {Charles University in Prague, Faculty of Mathematics and Physics},

title = {Applications of the spectral radius to some integral equations},

url = {http://eudml.org/doc/247754},

volume = {36},

year = {1995},

}

TY - JOUR

AU - Zima, Mirosława

TI - Applications of the spectral radius to some integral equations

JO - Commentationes Mathematicae Universitatis Carolinae

PY - 1995

PB - Charles University in Prague, Faculty of Mathematics and Physics

VL - 36

IS - 4

SP - 695

EP - 703

AB - In the paper [13] we proved a fixed point theorem for an operator $\mathcal {A}$, which satisfies a generalized Lipschitz condition with respect to a linear bounded operator $A$, that is: \[ m(\mathcal {A} x-\mathcal {A} y)\prec Am(x-y). \]
The purpose of this paper is to show that the results obtained in [13], [14] can be extended to a nonlinear operator $A$.

LA - eng

KW - fixed point theorem; spectral radius; integral-functional equation; spectral radius; integral-functional equation; fixed point theorem; generalized Lipschitz condition

UR - http://eudml.org/doc/247754

ER -

## References

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