Open AccessFixed point theorems in Fréchet algebras and Fréchet spaces and applications to nonlinear integral equations
Author(s) -
Szymon Dudek
Publication year - 2017
Publication title -
applicable analysis and discrete mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.69
H-Index - 26
eISSN - 2406-100X
pISSN - 1452-8630
DOI - 10.2298/aadm1702340d
Subject(s) - mathematics , fixed point theorem , nonlinear system , fixed point , pure mathematics , point (geometry) , type (biology) , mathematical analysis , geometry , physics , quantum mechanics , ecology , biology
In this paper, we present two new fixed point theorems in Fr?chet algebras and Fr?chet spaces. Our fixed point results are expressed with the help of family of measures of noncompactness and generalizes Darbo theorem. As an application, we establish some existence results for various types of nonlinear integral equations.