×

Common fixed points for weakly compatible maps. (English) Zbl 0986.54056

The authors give a common fixed point theorem for four maps in a metric space. No relevant examples are given.

MSC:

54H25 Fixed-point and coincidence theorems (topological aspects)
PDFBibTeX XMLCite
Full Text: DOI

References:

[1] Fisher, B., Common fixed points of four mappings, Bull. Inst. Math. Acad. Sci., 11, 103-113 (1983) · Zbl 0515.54029
[2] Jachymski, J., Common fixed point theorems for some families of maps, J. Pure Appl. Math., 25, 925-925 (1994) · Zbl 0811.54034
[3] Jungck, G., Compatible mappings and common fixed points (2), Int. J. Math. Math. Sci., 11, 285-288 (1988) · Zbl 0647.54035 · doi:10.1155/S0161171288000341
[4] Jungck, G., Commuting maps and fixed points, Am. Math. Mon., 83, 261-261 (1976) · Zbl 0321.54025 · doi:10.2307/2318216
[5] Jungck, G., Compatible mappings and common fixed points, Int. J. Math. Math. Sci., 9, 771-779 (1986) · Zbl 0613.54029 · doi:10.1155/S0161171286000935
[6] Jungck, G.; Rhoades, B. E., Fixed point for set valued functions without continuity, Indian J. Pure Appl. Math., 29, 3, 227-238 (1998) · Zbl 0904.54034
[7] Kannan, R., Some results on fixed points, Bull. Cal. Math. Soc., 60, 71-76 (1968) · Zbl 0209.27104
[8] Kang, S. M.; Kim, Y. P., Common fixed points theorems, Math. Japonica, 37, 6, 1031-1039 (1992) · Zbl 0767.54038
[9] Rhoades, B. E.; Park, S.; Moon, K. B., On generalizations of the Meir-Keeler type contraction maps, J. Math. Anal. Appl., 146, 482-482 (1990) · Zbl 0711.54028 · doi:10.1016/0022-247X(90)90318-A
[10] Rhoades, B. E., Contractive definitions and continuity, Contemporary Math., 72, 233-245 (1988) · Zbl 0649.54024
[11] Sessa, S., On a weak communtativity condition of mappings in fixed point considerations, Pub. Inst. Math., 48, 46, 149-153 (1982) · Zbl 0523.54030
[12] Singh, S. P.; Meade, B. A., On common fixed point theorems, Bull. Austral. Math. Soc., 16, 49-53 (1977) · Zbl 0351.54040 · doi:10.1017/S000497270002298X
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.