GENERALIZED CONTRACTIONS AND COMMON FIXED POINT THEOREMS CONCERNING DISTANCE
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Authors
A. BAGHERI VAKILABAD
- Dept. of Math., Islamic Azad University, Science and Research Branch, Tehran, Iran.
S. MANSOUR VAEZPOUR
- Dept. of Math., Amirkabir University of Technology, Hafez Ave., P. O. Box 15914, Tehran, Iran.
Abstract
In this paper we consider the generalized distance, present a generalization of
Ćirić's generalized contraction fixed point theorems on a complete metric space and investigate a common fixed point theorem about a sequence of mappings concerning generalized
distance.
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ISRP Style
A. BAGHERI VAKILABAD, S. MANSOUR VAEZPOUR, GENERALIZED CONTRACTIONS AND COMMON FIXED POINT THEOREMS CONCERNING DISTANCE, Journal of Nonlinear Sciences and Applications, 3 (2010), no. 2, 78-86
AMA Style
VAKILABAD A. BAGHERI, VAEZPOUR S. MANSOUR, GENERALIZED CONTRACTIONS AND COMMON FIXED POINT THEOREMS CONCERNING DISTANCE. J. Nonlinear Sci. Appl. (2010); 3(2):78-86
Chicago/Turabian Style
VAKILABAD, A. BAGHERI, VAEZPOUR, S. MANSOUR. "GENERALIZED CONTRACTIONS AND COMMON FIXED POINT THEOREMS CONCERNING DISTANCE." Journal of Nonlinear Sciences and Applications, 3, no. 2 (2010): 78-86
Keywords
- Common fixed point
- \(\tau\)-distance
- generalized contraction.
MSC
References
-
[1]
M. Alimohammadi, M. Ramzanzadeh, On \(\Phi\)-Fixed point for maps on uniform spaces, J. of Nonlinear Science and Applications, 1(4) (2008), 241-243.
-
[2]
A. Azam, M. Arshad , Kannan fixed point theorem on generalized metric spaces, J. of Nonlinear Science and Applications, 1(1) (2008), 45-48.
-
[3]
O. Kada, T. Suzuki, W. Takahashi, Nonconvex Minimization theorems and fixed point theorems in complete metric spaces, Math. Japon, 44 (1996), 381-391.
-
[4]
D. Mihet, On Kannan fixed point principle in generalized metric spaces, J. of Nonlinear Science and Applications, 2(2) (2009), 92-96.
-
[5]
I. R. Sarma, J. M. Rao, S. S. Rao, Contractions over generalized metric spaces , J. of Nonlinear Science and Applications, 2(3) (2009), 180-182.
-
[6]
N. Shioji, T. Suzuki, W. Takahashi, Contractive mappings, Kannan mappings and metric completness, Proc. Amer. Math. Soc, 126 (1998), 3117-3124.
-
[7]
T. Suzuki , Generalized distance and existence theorems in complete metric spaces, J. Math. Anal. Appl., 253(2) (2001), 440-458.
-
[8]
T. Suzuki, On Downing-Kirk's theorem, J. Math. Anal. Appl., 286 (2003), 453-458.
-
[9]
T. Suzuki, Several fixed point theorems concerning \(\tau\)-distance, Fixed Point Theory and Applications, 3 (2004), 195-209.
-
[10]
T. Suzuki, Generalized Caristi's fixed point theorems by Bae and othrs, J. Math. Anal. Appl, 302 (2005), 502-508.
-
[11]
T. Suzuki, Thestrong Ekeland vriational principle, J. Math. Anal. Appl., 320 (2006), 787-794.
-
[12]
W. Takahashi, Existence theorems generalazing fixed point theorems for multivalued mappings, Fixed Point Theory and Applications, 252 (1991), 397-406.
-
[13]
D. Tataru, Viscosity soluation of Hamilton-Jacbi equations with unbounded nonlinear terms, J. Math. Anal. Appl, 163 (1992), 345-392.
-
[14]
L. B. Ćirić, Generalized contractions and fixed-point theorems, Publ. Inst. Math. (Beograd)(N.S.), 12(26) (1971), 19-26.
-
[15]
L. B. Ćirić, On a family of contractive maps and fixed-points, Publ. Inst. Math. (Beograd)(N.S.), 17(31) (1974), 45-51.
-
[16]
L. B. Ćirić, A generalization of Banbch's contractions principle, Proc. Amer. Math. Soc, 45 (1974), 267-273.