Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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FIXED POINT THEOREMS, SECTION PROPERTIES AND MINIMAX INEQUALITIES ON K-G-CONVEX SPACES

  • Published : 2002.05.01
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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.

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References

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  1. Equilibria and fixed points of set-valued maps with nonconvex and noncompact domains and ranges vol.65, pp.4, 2006, https://doi.org/10.1016/j.na.2005.10.006
  2. A section theorem with applications to coincidence theorems and minimax inequalities in FWC-spaces vol.64, pp.4, 2012, https://doi.org/10.1016/j.camwa.2011.12.061