A fixed point theorem for a class of differentiable stable operators in Banach spaces

Vadim Azhmyakov

Resultado de la investigación: Contribución a una revista › Artículo

Resumen

We study Fréchet differentiable stable operators in real Banachspaces. We present the theory of linear and nonlinear stableoperators in a systematic way and prove solvability theorems for operator equations with differentiable expanding operators. In addition, some relations to the theory of monotone operators in Hilbert spaces are discussed. Using the obtained solvability results, we formulate the corresponding fixed point theorem for aclass of nonlinear expanding operators. Copyright © 2006 Vadim Azhmyakov.
Idioma originalInglés estadounidense
PublicaciónFixed Point Theory and Applications
DOI
EstadoPublicada - 30 jun 2006

Huella dactilar

Banach spaces
Differentiable
Fixed point theorem
Mathematical operators
Banach space
Solvability
Hilbert spaces
Operator
Monotone Operator
Operator Equation
Hilbert space
Theorem
Class

Citar esto

Azhmyakov, Vadim. / A fixed point theorem for a class of differentiable stable operators in Banach spaces. En: Fixed Point Theory and Applications. 2006.
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Azhmyakov, V 2006, 'A fixed point theorem for a class of differentiable stable operators in Banach spaces', Fixed Point Theory and Applications. https://doi.org/10.1155/FPTA/2006/92429

A fixed point theorem for a class of differentiable stable operators in Banach spaces. / Azhmyakov, Vadim.

En: Fixed Point Theory and Applications, 30.06.2006.

Resultado de la investigación: Contribución a una revista › Artículo

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AB - We study Fréchet differentiable stable operators in real Banachspaces. We present the theory of linear and nonlinear stableoperators in a systematic way and prove solvability theorems for operator equations with differentiable expanding operators. In addition, some relations to the theory of monotone operators in Hilbert spaces are discussed. Using the obtained solvability results, we formulate the corresponding fixed point theorem for aclass of nonlinear expanding operators. Copyright © 2006 Vadim Azhmyakov.

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Azhmyakov V. A fixed point theorem for a class of differentiable stable operators in Banach spaces. Fixed Point Theory and Applications. 2006 jun 30. https://doi.org/10.1155/FPTA/2006/92429

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