Non-self mappings in modular spaces and common fixed point theorems

• Autorzy: Abdolrahman Razani , Valdimir Rakočević , Zahraa Goodarzi
• Języki publikacji: EN

Abstrakty

EN

The aim of this paper, is to introduce the convex structure (specially, Takahashi convex structure) on modular spaces. Moreover, we are interested in proving some common fixed point theorems for non-self mappings in modular space.

Słowa kluczowe

EN

Takahashi convex modular space; Non-self mappings; Common fixed point

Kategorie tematyczne

• 47H09: Contraction-type mappings, nonexpansive mappings, A -proper mappings, etc.
• 46A80: Modular spaces
• 47H10: Fixed-point theorems
• 54H25: Fixed-point and coincidence theorems

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2010
• Tom: 8
• Numer: 2
• Strony: 357-366

Daty

wydano

2010-04-01

online

2010-04-14

Twórcy

autor

Abdolrahman Razani

autor

Valdimir Rakočević

• University of Niš

autor

Zahraa Goodarzi

• Imam Khomeini International University

Bibliografia

• [1] Ćirić L.B., A generalization of Banach’s contraction principle, Proc. Amer. Math. Soc., 1974, 45, 267–237 http://dx.doi.org/10.2307/2040075
• [2] Das M., Naik K.V., Common fixed point theorems for commuting maps on a metric space, Proc. Amer. Math. Soc., 1979, 77(3), 369–373 http://dx.doi.org/10.2307/2042188
• [3] Gajić L., Quasi-contractive nonself mappings on Takahashi convex metric spaces, Novi Sad J. Math., 2000, 30, 41–46
• [4] Jungck G., Commuting mappings and fixed point, Amer. Math. Monthly, 1976, 83, 261–263 http://dx.doi.org/10.2307/2318216
• [5] Jungck G., Compatible mappings and common fixed point, Int. J. Math. Math. Sci., 1986, 9, 771–779 http://dx.doi.org/10.1155/S0161171286000935
• [6] Musielak J., Orlicz W., On modular spaces, Studia Math., 1959, 18, 49–65
• [7] Nakano H., Modular semi-ordered spaces, Tokyo, Japan, 1959
• [8] Rakočević V., Quasi contraction nonself mappings on Banach spaces and common fixed point theorems, Publ. Math. Debrecen, 2001, 58, 451–460
• [9] Ume J.S., Fixed point theorems related to Ćirić contraction principle, J. Math. Anal. Appl., 1998, 225, 630–640 http://dx.doi.org/10.1006/jmaa.1998.6030

Identyfikatory

DOI

10.2478/s11533-010-0012-9