Fixed point theory for almost convex functions

Nonlinear Analysis, Theory, Methods and Applications

Volumn 32, Issue 5, 1998, Pages 601-608

  Garcia Falset, J ^a   Llorens Fuster, E ^a   Sims, Brailey ^b  

^a UNIVERSITY OF VALENCIA   (Spain)

^b NONE

Author keywords

Almost convex functions; Fixed point theory

Indexed keywords

APPROXIMATION THEORY; FUNCTIONS; THEOREM PROVING;

BANACH SPACE; CONVEX MAPPING; METRIC FIXED POINT THEORY;

SET THEORY;

EID: 0032060031     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(97)00507-5     Document Type: Article

References (11)

1. Rhoades, B. E. A comparison of various definitions of contractive mappings. Trans. of Amer. Math. Soc., 1977, 226, 257-290.
2. Khamsi, M. A. La Propiété du Point Fixe dans les espaces de Banach avec base inconditionelle. Math. Ann., 1987, 277, 727-734.
3. Khamsi, M. A. Points fixes de contractions dans les espaces de Banach. Seminaire d'initiation a l'Analyse, 86, Univ. Paris VI, 1986-1987, pp. 3-9.
4. Daniel, J. W. The Approximate Minimization of Functionals. Prentice Hall, 1971.
5. Cea, J. Opimisation, Théorie et algorithmes, Dunod, 1971.
6. Brack, R., A simple proof of the mean ergodic theorem for nonlinear contractions in Banach spaces. Israel J. Math., 1979 32, 279-82.
7. Goebel, K. , Kirk, W.A. Topics in metric fixed point theory. Cambridge Studies in Advanced Math., 1990, 28.
8. Browder, F., Semicontractive and semiacretive nonlinear mappings in Banach spaces. Bull. Amer. Math. Soc., 1968, 74, 660-665.
9. Khamsi, M. A. On normal structure, fixed point property and contractions of type γ. Proc. Amer. Math. Soc., 1989, 106, 995-1001.
10. Garcia-Falset, J., Sims, B. Smyth, M. The demiclosedness principle for mappings of asymptotically nonexpansive type. Houston J. of Math., 1996, 22, 101-108.
11. Mil'man D. F. and Mil'man V. D. The geometry of nested families with empty intersection. Structure of the unit sphere of a nonreflexive space. Amer. Math. Soc. Translations, 1965, 85(2).