The Fixed Point Property for Some Uniformly Nonsquare Banach Spaces

Bollettino della Unione Matematica Italiana A

Volumn 10, Issue 3, 1996, Pages 587-595

  Jimenez Melado A ^a   Llorens Fuster, E ^b  

^a UNIVERSITY OF MÁLAGA   (Spain)

^b UNIVERSITY OF VALENCIA   (Spain)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001597619     PISSN: 03924033     EISSN: None     Source Type: Journal    
DOI: None     Document Type: Article

References (12)

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2. T. BÜBER - W. A. KIRK, Constructive aspects of fixed point theory for non-expansive mappings, preprint.
3. D. J. DOWNING - B. TURETT, Some properties of the characteristic of convexity relating to fixed point theory, Pacific J. Math., 104 (1983), 343-350.
4. J. GARCÍA FALSET, Fixed point property in Banach space whose characteristic of convexity is less than 2, J. Austral. Math. Soc. Ser. A, 54 (1993), 169-173.
5. K. GOEBEL - W. A. KIRK, Topics in metric fixed point theory, Cambridge Univ. Press, Cambridge, 1990.
6. A. JIMÉNEZ-MELADO, Una propriedad geométrica de los espacios de Banach relacionada con la teoría del punto fijo, Ph.D. dissertation, Univ. de Málaga (Spain), 1988.
7. A. JIMÉNEZ-MELADO - E. LLORENS-FUSTER, A sufficient condition for the fixed point property, Nonlinear Anal., 20 (1993), 849-853.
8. W. A. KIRK, A fixed point theorem for mappings which do not increase distances, Amer. Math. Monthly, 72 (1965), 1004-1006.
9. D. KUTZAROVA - S. PRUS - B. SIMS, Remarks on orthogonal convexity of Banach spaces, Houston J. Math. (19), 4 (1993), 603-613.
10. P. K. LIN, Unconditional bases and fixed points of nonexpansive mappings, Pacific J. Math., 116 (1985), 69-76.
11. B. SIMS, Orthogonality and fixed points of nonexpansive maps, Workshop Miniconference on Functional Analysis and Optimization (Canberra, 1988), 178-176, Proc. Centre Math. Austral. Nat. Univ., 20 (1988).
12. B. SIMS, Orthogonality and fixed points of nonexpansive maps, Workshop Miniconference on Functional Analysis and Optimization (Canberra, 1988), 178-176, Proc. Centre Math. Austral. Nat. Univ., 20 (1988).