Hostname: page-component-77c89778f8-n9wrp Total loading time: 0 Render date: 2024-07-18T22:20:18.059Z Has data issue: false hasContentIssue false

Two fixed point theorems in topological and metric spaces

Published online by Cambridge University Press:  17 April 2009

Josef Daneš
Affiliation:
Mathematical Institute, Charles University, Prague - Karlín, Czechoslovakia.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

Some fixed point results are derived for mappings of contractive type in metric and topological spaces.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1976

References

[1]Boyd, D.W. and Wong, J.S.W., “On nonlinear contractions”, Proc. Amer. Math. Soc. 20 (1969), 458464.CrossRefGoogle Scholar
[2]Ćirić, Lj.B., “A gneeralization of Banach's contraction principle”, Proc. Amer. Math. Soc. 45 (1974), 267273.Google Scholar
[3]Daneš, Josef, “Some fixed point theorems in metric and Banach spaces”, Comment. Math. Univ. Carolinae 12 (1971), 3751.Google Scholar
[4]Massa, Silvio, “Generalized contractions in metric spaces”, Boll. Un. Mat. Ital. 10 (1974), 689694.Google Scholar
[5]Садовский, Б.Н. [B.N. Sadovskii], “Предельно компактные и уплотняющие операторы” [Limit-compact and condensing operators], Uspehi Mat. Nauk 27 no. 1 (1972), 81146; Russian Math. Surveys 27, no. 1 (1972), 85155.Google ScholarPubMed
[6]Sehgal, V.M., “On fixed and periodic point for a class of mappings”, J. London Math. Soc. (2) 5 (1972), 571576.CrossRefGoogle Scholar