Common fixed point results for noncommuting mappings without continuity in cone metric spaces

Journal of Mathematical Analysis and Applications - Tập 341 - Trang 416-420 - 2008
M. Abbas1, G. Jungck2
1Centre for Advanced Studies in Mathematics and Department of Mathematics, Lahore University of Management Sciences, 54792-Lahore, Pakistan
2Department of Mathematics, Bradley University, Peoria, IL, 61625, USA

Tài liệu tham khảo

Beg, 2006, Coincidence point and invariant approximation for mappings satisfying generalized weak contractive condition, Fixed Point Theory Appl., 2006, 1, 10.1155/FPTA/2006/74503 Deimling, 1985 Huang, 2007, Cone metric spaces and fixed point theorems of contractive mappings, J. Math. Anal. Appl., 332, 1468, 10.1016/j.jmaa.2005.03.087 Jungck, 1976, Commuting maps and fixed points, Amer. Math. Monthly, 83, 261, 10.2307/2318216 Jungck, 1986, Compatible mappings and common fixed points, Internat. J. Math. Math. Sci., 9, 771, 10.1155/S0161171286000935 Jungck, 1988, Common fixed points for commuting and compatible maps on compacta, Proc. Amer. Math. Soc., 103, 977, 10.1090/S0002-9939-1988-0947693-2 Jungck, 1996, Common fixed points for noncontinuous nonself maps on non-metric spaces, Far East J. Math. Sci. (FJMS), 4, 199 Jungck, 1998, Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math., 29, 227 Pant, 1994, Common fixed points of noncommuting mappings, J. Math. Anal. Appl., 188, 436, 10.1006/jmaa.1994.1437 Rhoades, 1977, A comparison of various definitions of contractive mappings, Trans. Amer. Math. Soc., 26, 257, 10.1090/S0002-9947-1977-0433430-4 Sessa, 1982, On a weak commutativity condition of mappings in fixed point consideration, Publ. Inst. Math. Soc., 32, 149 Kannan, 1968, Some results on fixed points, Bull. Calcutta Math. Soc., 60, 71