A Connection between Fixed-Point Theorems and Tiling Problems

Journal of Combinatorial Theory. Series A

Volumn 87, Issue 2, 1999, Pages 273-286

  Jachymski, Jacek R ^a   Schroder, Bernd ^b   Stein Jr , James D ^c  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

^b Bogard Hall M116A   (United States)

^c CALIFORNIA STATE UNIVERSITY   (United States)

Author keywords

Contraction; fixed point; tiling problem

Indexed keywords

EID: 0001320312     PISSN: 00973165     EISSN: None     Source Type: Journal    
DOI: 10.1006/jcta.1998.2960     Document Type: Article

References (7)

1. Bryant W. A remark on a fixed-point theorem for iterated mappings. Amer. Math. Monthly. 75:1968;399-400.
2. Jachymski J. R., Stein J. D. Jr. A minimum condition and some related fixed-point theorems. J. Austral. Math. Soc. Ser. A. 66:1999;224-243.
3. Kincses J., Totik V. Theorems and counterexamples on contractive mappings. Math. Balkanica. 4:1990;69-90.
4. Kreyszig E. Introductory Functional Analysis with Applications. 1989;Wiley, New York.
5. Leader S. Uniformly contractive fixed points in compact metric spaces. Proc. Amer. Math. Soc. 86:1982;153-158.
6. Rhoades B. E. A comparison of various definitions of contractive mappings. Trans. Amer. Math. Soc. 226:1977;257-290.
7. J. D. Stein, Jr, A systematic generalization procedure for fixed-point theorems, Rocky Mountain J. Math, in press.