Some consequences of the tarski-kantorovitch ordering theorem in metric fixed point theory

Quaestiones Mathematicae

Volumn 21, Issue 1-2, 1998, Pages 89-99

  Jachymski, Jacek R ^a  

^a LODZ UNIVERSITY OF TECHNOLOGY   (Poland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0039017006     PISSN: 16073606     EISSN: 1727933X     Source Type: Journal    
DOI: 10.1080/16073606.1998.9632028     Document Type: Article

References (24)

1. Angelov, V.G., Fixed point theorems in uniform spaces and applications, Czech. Math. J., 37 (1987), 19-33.
2. BaRANGa, A., The contraction principle as a particular case of Kleene’s fixed point theorem, Discrete Math., 98 (1991), 75-79.
3. BOYD, D.W. & Wong, J.S.W., On nonlinear contractions, Proc. Amer. Math. Soc., 20 (1969), 458-464.
4. Browder, F., On the convergence of successive approximations for nonlinear functional equations, Indag. Math., 30 (1968), 27-35.
5. Bruckner, A., Differentiation of Real Functions, Lecture Notes in Mathematics, Vol. 659, Springer-Verlag, Berlin-Heidelberg-New York, 1978.
6. Buber, T. & Kirk, W.A., A constructive proof of a fixed point theorem of Soardi, Math. Japon., 41 (1995), 233-237.
7. DUGUNDJI, J. & GRANAS, A., Fixed Point Theory I. Polish Scientific Publishers, Warszawa, 1982.
8. Edelstein, M., An extension of Banach’s contraction principle, Proc. Amer. Math. Soc., 12 (1961), 7-10.
9. FUCHSSTEINER, B., Iterations and fixpoints, Pacif. J. Math., 68 (1977), 73-80.
10. HILLE, E. & Philips, R.S., Functional Analysis and Semigroups, Amer. Math. Soc. Colloq. Publ., Vol. 31, Providence, R.I., 1957.
11. JACHYMSKI, J.R., An iff fixed point criterion for continuous self-mappings of a complete metric space, Aequationes Math., 48 (1994), 163-170.
12. Jachymski, J.R., An extension of A. Ostrovski’s theorem on the round-off stability of iterations, Aequationes Math., (1996).
13. Jachymski, J.R., Equivalence of some contractivity properties over metrical structures, Proc. Amer. Math. Soc., (1997), to appear.
14. Jachymski, J.R., Fixed point theorems in metric and uniform spaces via the Knaster-Tarski Principle, Nonl. Anal. T.M.A., (1997), to appear.
15. KÔTHE, G-, Topological Vector Spaces I. Springer-Verlag, Berlin, 1969.
16. Küczma, M., choczewski, B. & Ger, R., Iterative Functional Equations, Encyclopedia of Mathematics and its Applications, Vol. 32, Cambridge Univ. Press, Cambridge, 1990.
17. Manka, R.K., Some forms of the axiom of choice, Jahrb. Kurt Gôdel Ges., 1 (1988), 24-34.
18. Matkowski, J., Integrable solutions of functional equations, Diss. Math., 127 (1975).
19. Matkowski, J. & SWLTKOWSKI, T., On subadditive functions, Proc. Amer. Math. Soc., 119 (1993), 187-197.
20. Rakotch, E., A note on contractive mappings, Proc. Amer. Math. Soc., l3 (1962), 459-465.
21. Tarafdar, E., An approach to fixed-point theorems on uniform spaces, Trans. Amer. Math. Soc., 191 (1974), 209-225.
22. Tsatchev, ts. & angelov, v.g., Fixed points of nonself-mappings and applications, Nonl. Anal. T.M.A., 21 (1993), 9-16.
23. ZEIDLER, E., Nonlinear Functional Analysis and its Applications I. Springer-Verlag, Berlin, 1986.
24. Zitarosa, A., Una generalizzazione del teorema di Banach sulle contrazioni, Mathematiche, 23 (1968), 417-424.