Fixed point theory in Frechet spaces and variational inequalities

Nonlinear Analysis, Theory, Methods and Applications

Volumn 42, Issue 6, 2000, Pages 1091-1099

  Agarwal, Ravi P ^a   O'Regan, Donal ^b  

^a NATIONAL UNIVERSITY OF SINGAPORE   (Singapore)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL OPERATORS; THEOREM PROVING; VARIATIONAL TECHNIQUES;

CONDENSING-TYPE OPERATORS; FRECHET SPACES;

NONLINEAR EQUATIONS;

EID: 0343006808     PISSN: 0362546X     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0362-546X(99)00177-7     Document Type: Article

References (18)

1. C.D. Aliprantis, K.C. Border, Infinite Dimensional Analysis, Springer, Berlin, 1994.
2. Anselone P.M., Lee J.W. Nonlinear integral equations on the half line. J. Integral Equations Appl. 1:1992;1-14.
3. Cecchi M., Marini M., Zezza P.L. Linear boundary value problems for systems of ordinary differential equations on noncompact intervals. Ann. Math. Pure Appl. 123:1980;267-285.
4. M. Frigon, A. Granas, Résultats de type Leray-Schauder pour des contractions sur des espaces de Fréchet, preprint.
5. Furi M., Pera P. A continuation method on locally convex spaces and applications to ordinary differential equations on noncompact intervals. Ann. Polon. Math. 47:1987;331-346.
6. Gorniewicz L. Homological methods in fixed point theory of multivalued mappings. Dissertationes Math. 129:1976;1-71.
7. Granas A., Guenther R.B., Lee J.W., O'Regan D. Boundary value problems on infinite intervals. J. Math. Anal. Appl. 116:1986;335-348.
8. J.W. Lee, D. O'Regan, Existence principles for nonlinear integral equations on semi-infinite and half-open intervals, in: S. Sivasundaram, A.A. Martynyuk (Eds.), Advances in Nonlinear Dynamics, Gorden and Breach, Amsterdam, 1997, pp. 355-364.
9. D. O'Regan, Theory of Singular Boundary Value Problems, World Scientific, Singapore, 1994.
10. O'Regan D. Some fixed point theorems for concentrative mappings between locally convex linear topological spaces. Nonlinear Anal. 27:1996;1437-1446.
11. D. O'Regan, Fixed points and random fixed points for weakly inward approximable maps, Proc. Amer. Math. Soc. to appear.
12. O'Regan D. Fixed point theory for closed multifunctions. Arch. Math. 34:1998;191-197.
13. O'Regan D. Approximation of solutions of nonlinear operator equations on the half line. Comput. Math. Appl. 35(9):1998;65-77.
14. O'Regan D. Coincidences for admissible and. Φ* maps and minimax inequalities J. Math. Anal. Appl. 220:1998;322-333.
15. O'Regan D. Generalized multivalued quasi variational inequalities. Adv. Nonlinear Variational Inequalities. 1(1):1998;1-9.
16. Park S. Fixed points of approximable maps. Proc. Amer. Math. Soc. 124:1996;3109-3114.
17. Su C.H., Sehgal V.M. Some fixed point theorems for condensing multifunctions in locally convex spaces. Proc. Amer. Math. Soc. 50:1975;150-154.
18. Tan K.K., Yuan X.Z. Random fixed points theorems and approximation in cones. J. Math. Anal. Appl. 185:1994;378-390.