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On a generalization of the Schauder and Krasnosel'skii fixed points theorems on Dunford–Pettis spaces and applications
Author(s) -
Amar Afif Ben,
Jeribi Aref,
Mnif Maher
Publication year - 2005
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.639
Subject(s) - mathematics , generalization , fixed point theorem , pure mathematics , fixed point , nonlinear system , discrete mathematics , mathematical analysis , physics , quantum mechanics
In this paper, we give a generalization of the Schauder and Krasnosel'skii fixed point theorems in Dunford–Pettis spaces. Both of these theorems can be used to resolve some open problems posed by Jeribi ( Nonlinear Anal. : Real World Appl . 2002; 3 :85–105); and Latrach ( J. Math. Phys. 1996; 37 :1336–1348). Further, we applied our work to prove some existence results for a source problem with general boundary conditions in L 1 spaces. Copyright © 2005 John Wiley & Sons, Ltd.