Keywords
- Banach Space
- Convex Subset
- Fixed Point Theorem
- Nonexpansive Mapping
- Common Fixed Point
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References
M.S. Brodski, D.P. Milman, On the center of a convex set (Russian), Dokl. Akad. Nauk SSSR 59 (1948), 837–840.
F.E. Browder, Nonexpansive nonlinear operators in a Banach space, Proc. Nat. Acad. Sci. 54 (1965), 1041–1044.
D.G. de Figueiredo, Topics in nonlinear functional analysis, University of Maryland, Lecture Series, No. 48, pp. 1–53.
M. Edelstein, On nonexpansive mappings, Proc. Am. Math. Soc. 15 (1964), 689–695.
M. Edelstein, On nonexpansive mappings of Banach spaces, Proc. Cambr. Phil. Soc. 60 (1964), 439–447.
D. Göhde, Zum Prinzip der kontraktiven Abbildung, Math. Nach. 30 (1965), 251–258.
S. Kakutani, K. Yosida, Operator theoretical treatment of Markov's process and mean ergodic theorem, Ann. of Math. 42 (1941), 188–228.
S. Kakutani, Two fixed point theorems concerning bicompact convex sets, Proc. Imp. Acad. Tokyo 14 (1938), 242–245.
W.A. Kirk, A fixed point theorem for mappings which do not increase distance, Am. Math. Monthly 72 (1965), 1004–1006.
A. Markov, Quelques théorèmes sur les ensembles abeliens, Dokl. Akad. Nauk SSSR 10 (1936), 311–314. *** DIRECT SUPPORT *** A00J4126 00004
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© 1975 Springer-Verlag
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Edelstein, M. (1975). On some aspects of fixed point theory in Banach spaces. In: Kelly, L.M. (eds) The Geometry of Metric and Linear Spaces. Lecture Notes in Mathematics, vol 490. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0081134
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DOI: https://doi.org/10.1007/BFb0081134
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