Fixed point theorems for multivalued mappings in symmetric spaces

• Autorzy: Joshi M. , Joshi L. , Dimri R.
• Języki publikacji: EN

Abstrakty

EN

In this paper we prove some fixed point theorems for multivalued mappings using rational inequality in a symmetric space. These results are generalizations of some well known results in metric spaces and also in the setting of symmetric spaces.

Słowa kluczowe

EN

symmetric spaces; multivalued mappings; fixed points; fixed point theorem

PL

przestrzeń symetryczna; odwzorowania wielowartościowe; punkty stałe; twierdzenie o punkcie stałym

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2007
• Tom: Vol. 40, nr 3
• Strony: 733--738
• Opis fizyczny: Bibliogr. 8 poz.

Twórcy

autor

Joshi M.

autor

Joshi L.

autor

Dimri R.

• Department of Mathematics, Statistics and Computer Science College of Basic Sciences and Humanities G.B. Pant University of Agriculture and Technology Pantnagar-263145 India,

Bibliografia

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• [4] J. Jachymski, J. Moutawaki l and T. Swiatkowski, Nonlinear contractions on semi-metric spaces, J. Appl. Anal. 1 (1995), 125-134.
• [5] D. El Moutawaki l, A fixed point theorem for multivalued maps in symmetric spaces, Applied Mathematics E-Notes 4 (2004), 26-32.
• [6] S. B. Nadl er Jr., Multivalued contraction mappings, Pacific J. Math. 30 (1969), 639-640.
• [7] B. E. Rhoades, Proving fixed point theorems using general principles, Indian J. Pure appl. Math. 27 (8), (1996), 741-770.
• [8] W. A. Wilson, On semi metric spaces, Amer. J. Math. 53 (1931), 361-373.