Opial's property and James' quasi-reflexive spaces

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1. Aksoy A.G., Khamsi M.A., Nonstandard Methods in Fixed Point Theory, Springer-Verlag, New York, 1990. Zbl0713.47050MR1066202
2. Andrew A., Spreading basic sequences and subspaces of James' quasi-reflexive space, Math. Scan. 48 (1981), 109-118. (1981) Zbl0439.46010MR0621422
3. Brodskii M.S., Milman D.P., On the center of a convex set, Dokl. Akad. Nauk SSSR 59 (1948), 837-840. (1948) MR0024073
4. Goebel K., Kirk W.A., Topics in Metric Fixed Point Theory, Cambridge University Press, Cambridge, 1990. MR1074005
5. Goebel K., Reich S., Uniform Convexity, Hyperbolic Geometry and Nonexpansive Mappings, Marcel Dekker, New York and Basel, 1984. Zbl0537.46001MR0744194
6. Goebel K., Sekowski T., Stachura A., Uniform convexity of the hyperbolic metric and fixed points of holomorphic mappings in the Hilbert ball, Nonlinear Analysis 4 (1980), 1011-1021. (1980) Zbl0448.47048MR0586863
7. Gǫrnicki J., Some remarks on almost convergence of the Picard iterates for nonexpansive mappings in Banach spaces which satisfy the Opial condition, Comment. Math. 29 (1988), 59-68. (1988) MR0988960
8. Gossez J.P., Lami Dozo E., Some geometric properties related to the fixed point theory for nonexpansive mappings, Pacific J. Math. 40 (1972), 565-573. (1972) MR0310717
9. James R.C., Bases and reflexivity of Banach spaces, Ann. of Math. 52 (1950), 518-527. (1950) Zbl0039.12202MR0039915
10. James R.C., A non-reflexive Banach space isometric with its second conjugate space, Proc. Nat. Acad. Sci. USA 37 (1951), 134-137. (1951) MR0044024
11. James R.C., A separable somewhat reflexive Banach space with nonseparable dual, Bull. Amer. Math. Soc. 80 (1974), 738-743. (1974) Zbl0286.46018MR0417763
12. James R.C., Banach spaces quasi-reflexive of order one, Studia Math. 60 (1977), 157-177. (1977) Zbl0356.46017MR0461099
13. Karlovitz L.A., On nonexpansive mappings, Proc. Amer. Math. Soc. 55 (1976), 321-325. (1976) Zbl0328.47033MR0405182
14. Khamsi M.A., James' quasi-reflexive space has the fixed point property, Bull. Austral. Math. Soc. 39 (1989), 25-30. (1989) Zbl0672.47045MR0976257
15. Khamsi M.A., Normal structure for Banach spaces with Schauder decomposition, Canad. Math. Bull. 32 (1989), 344-351. (1989) Zbl0647.46016MR1010075
16. Khamsi M.A., On uniform Opial condition and uniform Kadec-Klee property in Banach and metric spaces, preprint. Zbl0854.47035MR1380728
17. Kirk W.A., A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly 72 (1965), 1004-1006. (1965) Zbl0141.32402MR0189009
18. Kuczumow T., Weak convergence theorems for nonexpansive mappings and semigroups in Banach spaces with Opial's property, Proc. Amer. Math. Soc. 93 (1985), 430-432. (1985) Zbl0585.47043MR0773996
19. Lindenstrauss J., Stegall C., Examples of separable spaces which do not contain $l_1$ and whose duals are non-separable, Studia Math. 54 (1975), 81-105. (1975) MR0390720
20. Lindenstrauss J., Tzafriri L., Classical Banach Spaces, Vol. I and II, Springer-Verlag, BerlinHeidelberg-New York, 1977 and 1979. MR0415253
21. Opial Z., Weak convergence of the sequence of successive approximations for nonexpansive mappings, Bull. Amer. Math. Soc. 73 (1967), 591-597. (1967) Zbl0179.19902MR0211301
22. Opial Z., Nonexpansive and Monotone Mappings in Banach Spaces, Lecture Notes 61-1, Center for Dynamical Systems, Brown University, Providence, R.I., 1967. 
23. Prus S., Banach spaces with the uniform Opial property, Nonlinear Analysis 18 (1992), 697-704. (1992) Zbl0786.46023MR1160113
24. Tingley D., The normal structure of James' quasi-reflexive space, Bull. Austral. Math. Soc. 42 (1990), 95-100. (1990) Zbl0724.46014MR1066363