Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
BROWDER, F. E.: Nonlinear mappings of nonexpansive and accretive type in Banach spaces, Bull. Amer. Math. Soc. 73 (1967), 875–881.
BROWDER, F. E.: Semicontractive and semiaccretive nonlinear mappings in Banach spaces, Bull. Amer. Math. Soc. 74 (1968), 660–665.
BROWDER, F.E.: Nonlinear operators and nonlinear equations of evolution in Banach spaces, Proc. Symp. Pure Math. 18, pt. 2, Amer. Math. Soc., Providence, R.I., (1976).
BRUCK, R. E.: A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces, Israel J. Math., 32 (1979), 107–116.
DEIMLING, K.: Zeros of accretive operators, Manuscripta Math., 13 (1974), 365–374.
EDELSTEIN, M.: On fixed and periodic points under contractive mappings, J. London Math. Soc., 37 (1962), 74–79.
GÖHDE, D.: Zum prinzip der kontraktiven Abbildung, Math. Nachr. 30 (1965), 251–258.
ISHIKAWA, S.: Fixed points and iteration of nonexpansive mapping in a Banach space, Proc. Amer. Math. Soc., 59 (1976), 65–71.
KANTOROVICH, L. V. and AKILOV, G. P.: Functional Analysis in Normed Spaces, Macmillan Co., N.Y., (1964).
KATO, T.: Nonlinear semigroups and evolution equations, J. Math. Soc. Japan 19 (1967), 508–520.
KIRK, W. A.: On zeros of accretive operators in uniformly convex spaces, Bollettino Un. Mat. Ital. (5), 17-A (1980), 249–253.
KIRK, W. A.: A fixed point theorem for local pseudo-contractions in uniformly convex spaces, Manuscripta Math., 30 (1979), 89–102.
KIRK, W. A. and MORALES, C.: Fixed point theorems for local strong pseudocontractions, Nonlinear Analysis: Theory, Methods & Applications 4 (1980), 363–368.
KIRK, W.A., and MORALES, C.: On the approximation of fixed points of locally
KIRK, W. A. and SCHÖNEBERG, R.: Mapping theorems for local expansions in metric and Banach spaces, J. Math. Anal. Appl. 71 (1979), 114–121.
MARTIN, R. H., Jr.: Differential equations on closed subsets of a Banach space, Trans. Amer Math. Soc. 179 (1973), 399–414.
MENGER, K.: Untersuchungen über allgemeine Metrik, Math. Ann. 100 (1928), 75–163.
MORALES, C.: On the fixed point theory for local k-pseudo-contractions, Proc. Amer. Math. Soc. 81 (1981), 71–74. *** DIRECT SUPPORT *** A00J4360 00007
Author information
Authors and Affiliations
Editor information
Rights and permissions
Copyright information
© 1981 Springer-Verlag
About this paper
Cite this paper
Kirk, W.A. (1981). Locally nonexpansive mappings in Banach spaces. In: Fadell, E., Fournier, G. (eds) Fixed Point Theory. Lecture Notes in Mathematics, vol 886. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0092184
Download citation
DOI: https://doi.org/10.1007/BFb0092184
Published:
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-11152-8
Online ISBN: 978-3-540-38600-1
eBook Packages: Springer Book Archive