×

zbMATH — the first resource for mathematics

On common fixed point theorems for three and four self mappings satisfying contractive conditions. (English) Zbl 1301.54062
Summary: We discuss some unique common fixed point theorems for three and four occasionally weakly compatible mappings satisfying different types of contractive condition.

MSC:
54H25 Fixed-point and coincidence theorems (topological aspects)
PDF BibTeX XML Cite
Full Text: EuDML
References:
[1] Aage, C. T., Salunke, J. N.: A note on common fixed point theorems. Int. J. Math. Anal. 2, 28 (2008), 1369-1380. · Zbl 1171.54317
[2] Al-Thagafi, M. A., Shahzad, N.: Generalized I-nonexpansive selfmaps and invariant approximations. Acta Math. Sin. (Engl. Ser.) 24, 5 (2008), 867-876. · Zbl 1175.41026
[3] Jungck, G.: Compatible mappings and common fixed points. Internat. J. Math. Math. Sci. 9, 4 (1986), 771-779. · Zbl 0613.54029
[4] Jungck, G., Murthy, P. P., Cho, Y. J.: Compatible mappings of type \((A)\) and common fixed points. Math. Japon. 38, 2 (1993), 381-390. · Zbl 0791.54059
[5] Jungck, G., Rhoades, B. E.: Fixed points for set valued functions without continuity. Indian J. Pure Appl. Math. 29, 3 (1998), 227-238. · Zbl 0904.54034
[6] Pathak, H. K., Cho, Y. J., Kang, S. M., Madharia, B.: Compatible mappings of type \((C)\) and common fixed point theorems of Greguš type. Demonstratio Math. 31, 3 (1998), 499-518. · Zbl 0922.54036
[7] Pathak, H. K., Khan, M. S.: Compatible mappings of type \((B)\) and common fixed point theorems of Greguš type. Czechoslovak Math. J. 45, 4 (1995), 685-698. · Zbl 0848.54030
[8] Sessa, S.: On a weak commutativity condition in fixed point considerations. Publ. Inst. Math. (Beograd) 32, 46 (1982), 149-153. · Zbl 0523.54030
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. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.