Fixed point theory for multimaps in extension type spaces

Journal of the Korean Mathematical Society

Volumn 39, Issue 4, 2002, Pages 579-591

  Agarwal, Ravi P ^a   O'Regan, Donal ^b   Park, Sehie ^c,d  

^a Florida Institute of Technology   (United States)

^b NATIONAL UNIVERSITY OF IRELAND   (Ireland)

^c The National Academy of Sciences   (South Korea)

^d Seoul National University   (South Korea)

Author keywords

(Approximate) extension space; Admissible class of multimaps; Essential map; Quasi variational inequality; Schauder admissible set

Indexed keywords

EID: 0012317872     PISSN: 03049914     EISSN: None     Source Type: Journal    
DOI: 10.4134/jkms.2002.39.4.579     Document Type: Article

References (17)

1. H. Ben-El-Mechaiekh, The coincidence problem for compositions of set valued maps, Bull. Austral. Math. Soc. 41 (1990), 421-434.
2. -, Spaces and maps approximation and fixed points, J. Comput. Appl. Math. 113 (2000), 283-308.
3. H. Ben-El-Mechaiekh and P. Deguire, General fixed point theorems for non-convex set valued maps, C. R. Acad. Sci. Paris 312 (1991), 433-438.
4. M.-P. Chen and S. Park, A unified approach to generalized quasi-variational inequalities, Comm. Appl. Nonlinear Anal. 4 (1997), 103-118.
5. J. Dugundji and A. Granas, Fixed Point Theory, Monografie Mathematyczne 61, PWN, Warszawa, 1982.
6. L. Gorniewicz, Homological methods in fixed point theory of multivalued maps, Dissertationes Math. 122, 1976.
7. -, Topological fixed point theory of multivalued mappings, Kluwer Academic Publishers, Dordrecht, 1999.
8. A. Granas, Points fixes pour les applications compactes: espaces de Lefschetz et la theorie de l'indice, Presses Univ. Montreal, 1980.
9. C. J. Himmelberg, Fixed points for compact multifunctions, J. Math. Anal. Appl. 38 (1972), 205-207.
10. A. Idzik and S. Park, Leray-Schauder type theorems and equilibrium existence theorems, Differential Inclusion and Optimal Control, Lecture Notes in Nonlinear Anal. 2 (1998), 191-197.
11. L.-J. Lin and S. Park, On some generalized quasi-equilibrium problems, J. Math. Anal. Appl. 224 (1998), 167-181.
12. Sehie Park, A unified fixed point theory of multimaps on topological vector spaces, J. Korean Math. Soc. 35 (1998), 803-829.
13. Sehie Park, Corrections, J. Korean Math. Soc. ibid. 36 (1999), 829-832.
14. -, Fixed points, intersection theorems, variational inequalities, and equilibrium theorems, Int. J. Math. Math. Sci. 24 (2000), 73-93.
15. -, Fixed points and quasi-equilibrium problems, Math. Comput. Modelling 34 (2001), 947-954.
16. S. Park and M.-P. Chen, Generalized quasi-variational inequalities, Far East J. Math. Sci. 3 (1995), 199-204.
17. S. Park and J. A. Park, The Idzik type quasivariational inequalities and noncompact optimization problems, Colloq. Math. 71 (1996), 287-295.