JOURNAL BROWSE
Search
Advanced SearchSearch Tips
FIXED POINT THEOREMS, SECTION PROPERTIES AND MINIMAX INEQUALITIES ON K-G-CONVEX SPACES
facebook(new window)  Pirnt(new window) E-mail(new window) Excel Download
 Title & Authors
FIXED POINT THEOREMS, SECTION PROPERTIES AND MINIMAX INEQUALITIES ON K-G-CONVEX SPACES
Balaj, Mircea;
  PDF(new window)
 Abstract
In [11] Kim obtained fixed point theorems for maps defined on some “locally G-convex”subsets of a generalized convex space. Theorem 2 in Kim`s article determines us to introduce, in this paper, the notion of K-G-convex space. In this framework we obtain fixed point theorems, section properties and minimax inequalities.
 Keywords
generalized convex space;K-G-convex space;map;Kakutani map;selection;section property;minimax inequality;
 Language
English
 Cited by
1.
A section theorem with applications to coincidence theorems and minimax inequalities in FWC-spaces, Computers & Mathematics with Applications, 2012, 64, 4, 579  crossref(new windwow)
2.
Equilibria and fixed points of set-valued maps with nonconvex and noncompact domains and ranges, Nonlinear Analysis: Theory, Methods & Applications, 2006, 65, 4, 918  crossref(new windwow)
 References
1.
J. Math. Anal. Appl., 1988. vol.132. pp.484-490 crossref(new window)

2.
J. Math. Anal. Appl., 1989. vol.137. pp.46-58 crossref(new window)

3.
J. Math. Anal. Appl., 1990. vol.146. pp.363-373 crossref(new window)

4.
C. R. Acad. Sci. Paris Ser. I. Math., 1984. vol.298. pp.329-332

5.
J. Math. Pures Appl., 1986. vol.65. pp.119-148

6.
Proc. Am. Math. Soc., 1987. vol.99. pp.680-682 crossref(new window)

7.
C. R. Acad. Sci. Paris Ser. I Math., 1983. vol.296. pp.403-406

8.
Nonliear and Convex Analysis - Proc. in Honor of Ky Fan, 1987. pp.99-106

9.
J. Math. Anal. Appl., 1991. vol.156. pp.341-357 crossref(new window)

10.
Duke Math. J., 1941. vol.8. pp.457-459 crossref(new window)

11.
J. Korean. Math. Soc., 1998. vol.35. pp.491-502

12.
Numer. Funct. Anal. Optim., 1999. vol.20. pp.567-583

13.
Nova Sci. Publ. Huntington, 1998. pp.135-144

14.
Korean J. Comput. Appl. Math., 2000. vol.7. pp.1-28

15.
Proc. Coll. Natur. Sci. SNU, 1993. vol.18. pp.1-21

16.
Proc. Inter. Conf. on Nonlinear Funct. Anal. and Appl., 1996. vol.1. pp.1-19