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Fixed point theorems by altering distances between the points

Published online by Cambridge University Press:  17 April 2009

M.S. Khan
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh – 202001, India;
M. Swaleh
Affiliation:
Department of Mathematics, Aligarh Muslim University, Aligarh – 202001, India;
S. Sessa
Affiliation:
Institute of Mathematics, Faculty of Architecture, University of Naples, Via Monteoliveto 3, Naples 80134, Italy.
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Abstract

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In this paper we have established some fixed point theorems in complete and compact metric spaces.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1984

References

[1]Delbosco, D., “Un'estensione di un teorema sul punto fisso di S. Reich”, Rend. Sent. Mat. Univers. Politecn. Torino, 35 (19761977), 233238.Google Scholar
[2]Edelstein, M., “On fixed and periodic points under contractive mappings”, J. London Math. Soc., 37 (1962), 7479.CrossRefGoogle Scholar
[3]Fisher, B., “A fixed point mapping”. Bull. Calcutta Math. Soc. 68 (1976), 265266.Google Scholar
[4]Massa, S., “Un'osservazione su un teorema di Browder–Roux–Soardi”, Boll. U.M.I., (4) 7 (1973), 151155.Google Scholar
[5]Rakotch, E., “A note on contractive mappings”. Proc. Amer. Math. Soc, 13 (1962), 459465.CrossRefGoogle Scholar
[6]Reich, S., “Kannan's fixed point theorem”. Boll. U.M.I. (4) 4 (1971), 111.Google Scholar
[7]Sessa, S., “Un teorema orbitale di punto fisso ed una sua conseguenza”, Le Matematiche, Catania (Italy), to appear.Google Scholar
[8]Skof, F., “Teorema di punti fisso per applicazioni negli spazi metrici”, Atti. Accad. Sci. Torino, 111 (1977), 323329.Google Scholar