On a generalization of the Schauder and Krasnosel'skii fixed points theorems on Dunford–Pettis spaces and applications | Zendy

Amar Afif Ben | Zendy; Jeribi Aref | Zendy; Mnif Maher | Zendy

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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.

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