A continuation theory for weakly inward maps

Glasgow Mathematical Journal

Volumn 40, Issue 3, 1998, Pages 311-321

  O'Regan, Donal ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001647608     PISSN: 00170895     EISSN: None     Source Type: Journal    
DOI: 10.1017/s0017089500032663     Document Type: Article

References (18)

1. I. Beg and N. Shahzad, Random fixed points of weakly inward operators in conical shells, J. Applied Mathematics and Stochastic Analysis 8 (1995), 261-264.
2. K. Deimling, Fixed points of weakly inward maps, Nonlinear Anal., 10 (1986), 1261-1262.
3. K. Deimling, Multivalued Differential Equations (Walter de Gruyter, Berlin, 1992).
4. P. M. Fitzpatrick and W. V. Petryshyn, Fixed point theorems for multivalued noncompact acyclic mappings, Pacific J. Math. 54 (1974), 17-23.
5. L. Gorniewicz, A. Granas and W. Kryszewski, Sur la méthode de l'homotopie dans la théorie des points fixes pour les applications multivoques (Partie 1: Transversalite topologique), C. R. Acid. Sci. Paris, Ser. 1, 307 (1988), 489-492.
6. G. B. Gustafson and K. Schmitt, Nonzero solutions of boundary value problems for second order ordinary and delay differential equations, J. Differential Equations 12 (1972), 129-147.
7. K. Q. Lan and J. R. L. Webb, A fixed point index for weakly inward A-proper maps, Non-linear Anal. 28 (1997), 315-325.
8. D. O'Regan, Some fixed point theorems for concentrative mappings between locally convex linear topological spaces, Nonlinear Anal., 27 (1996) 1437-1446.
9. D. O'Regan, Coincidence principles and fixed point theory for mappings in locally convex spaces. Rocky Mountain J. Math., to appear.
10. D. O'Regan, Existence of nonnegative solutions to superlinear non-positone problems via a fixed point theorem in cones of Banach spaces, Dynamics of Continuous, Discrete and Impulsive Systems, 3 (1997), 517-530.
11. D. O'Regan, Fixed points for set valued mappings in locally convex linear topological spaces, Mathematical and Computer Modelling, 28(1) (1998), 45-55.
12. R. Precup, On some fixed point theorems of Deimling, Nonlinear Anal. 23 (1994), 1315-1320.
13. S. Reich, Fixed points in locally convex spaces, Math. Z. 125 (1972), 17-31.
14. S. Reich, A fixed point theorem for Frechet spaces, J. Math. Anal. Appl. 78 (1980), 33-35.
15. Shouchuan Hu and Yong Sun, Fixed point index for weakly inward maps, J. Math. Anal. Appl. 172 (1993), 266-273.
16. Alice Chaljub-Simon and P. Volkmann, Existence of ground states with exponential decay for semi-linear elliptic equations in R", J. Differential Equations, 76 (1988), 374-390.
17. K. K. Tan and X. Z. Yuan, Random fixed point theorems and approximation in cones, J. Math. Anal. Appl, 185 (1994), 378-390.
18. J. R. L. Webb, A-properness and fixed points of weakly inward mappings, J. London Math. Soc., 27 (1983), 141-149.