Geodesic
A GENERALIZATION OF NADLERS FIXED POINT THEOREM
GORDJI, M. ESHAGHI1 ; BAGHANI, H.1 ; KHODAEI , H. 1 ; RAMEZANI, M.1
1 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran
Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 2, p. 148-151.

Voir la notice de l'article provenant de la source International Scientific Research Publications

In this paper, we prove a generalization of Nadler's fixed point theorem [S.B. Nadler Jr., Multi-valued contraction mappings, Pacific J. Math. 30 (1969) 475-487].
DOI : 10.22436/jnsa.003.02.07
Classification : 54H25
Keywords: Hausdorff metric, Set-valued contraction, Nadler's fixed point theorem.

GORDJI, M. ESHAGHI 1 ; BAGHANI, H. 1 ; KHODAEI , H.  1 ; RAMEZANI, M. 1

1 Department of Mathematics, Semnan University, P. O. Box 35195-363, Semnan, Iran 
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GORDJI, M. ESHAGHI; BAGHANI, H.; KHODAEI , H. ; RAMEZANI, M. A GENERALIZATION OF NADLERS FIXED POINT THEOREM. Journal of nonlinear sciences and its applications, Tome 3 (2010) no. 2, p. 148-151. doi : 10.22436/jnsa.003.02.07. http://geodesic.mathdoc.fr/articles/10.22436/jnsa.003.02.07/

[1] Banach, S. Sure operations dans les ensembles abstraits et leur application aux equations integrales, Fund. Math. , Volume 3 (1922), pp. 133-181

[2] Hardy, G. E.; Rogers, T. D. A generalization of a fixed point theorem of Reich , Canad. Math. Bull. , Volume 16 (1973), pp. 201-206

[3] Jr., N.B. Nadler Multi-valued contraction mappings, Pacific J. Math. , Volume 30 (1969), pp. 475-488

[4] Reich, S. Kannan's fixed point theorem, Boll. Un. Mat. Ital., Volume 4 (1971), pp. 1-11

[5] Reich, S. Fixed points of contractive functions, Boll. Un. Mat. Ital. , Volume 5 (1972), pp. 26-42

[6] Rus, I. A. Generalized Contractions and Applications, Cluj Univercity Press, Cluj-Nappa, 2001

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