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Krasnoselskii‐type fixed point theorems with applications to Hammerstein integral equations in L 1 spaces
Author(s) -
Cai Gang,
Bu Shangquan
Publication year - 2013
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/mana.201200256
Subject(s) - mathematics , fixed point theorem , banach space , type (biology) , nonlinear system , fixed point , mathematical analysis , integral equation , pure mathematics , ecology , physics , quantum mechanics , biology
In this paper, we study fixed point theorems and new variants of some nonlinear altenatives of Krasnoselskii type in Banach spaces by using measures of weak noncompactness. Then we give an application to solve a nonlinear Hammerstein integral equation in L 1 spaces.