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A fixed point theorem for affine mappings and its application to elasticity theory

100%

Zubelevich O.

Open Mathematics

2010

tom 8

nr 6

1104-1108

In this paper we obtain a general fixed point theorem for an affine mapping in Banach space. As an application of this theorem we study existence of periodic solutions to the equations of the linear elasticity theory.

Fixed point theory for multimaps defined on closed subsets of Fréchet spaces: the projective limit approach

100%

Agarwal R. P., O’Regan D.

Commentationes Mathematicae

2006

tom 46

nr 2

New fixed point results are presented for maps defined on closed subsets of a Fréchet space \(E\). The proof relies on fixed point results in Banach spaces and viewing \(E\) as the projective limit of a sequence of Banach spaces.

Ograniczanie wyników

1 Commentationes Mathematicae

1 Open Mathematics

1 Agarwal R. P.

1 O’Regan D.

1 Zubelevich O.

1 2010

1 2006

Wyniki wyszukiwania

A fixed point theorem for affine mappings and its application to elasticity theory

Fixed point theory for multimaps defined on closed subsets of Fréchet spaces: the projective limit approach