A fixed point theorem for multi-valued mappings and its applications to integral inclusions

Turkoglu, ARAP; Altun, I.

doi:10.1016/j.aml.2006.07.002

A fixed point theorem for multi-valued mappings and its applications to integral inclusions

Turkoglu D., Altun I.

APPLIED MATHEMATICS LETTERS, cilt.20, sa.5, ss.563-570, 2007 (SCI-Expanded, Scopus)

Yayın Türü: Makale / Tam Makale
Cilt numarası: 20 Sayı: 5
Basım Tarihi: 2007
Doi Numarası: 10.1016/j.aml.2006.07.002
Dergi Adı: APPLIED MATHEMATICS LETTERS
Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
Sayfa Sayıları: ss.563-570
Anahtar Kelimeler: Banach spaces, fixed point, multi-valued mapping, condensing mapping, integral inclusions
Gazi Üniversitesi Adresli: Evet

Özet

In this paper we prove an existence theorem for the common solutions for a pair of integral inclusions via a common fixed point theorem of Dhage et al. [B.C. Dhage, D. O'Regan, R.P. Agarwal, Common fixed point theorems for a pair of countably condensing mappings in ordered Banach spaces, J. Appl. Math. Stoch. Anal. 16 (3) (2003) 243-248]. (C) 2006 Elsevier Ltd. All rights reserved.