TEOREMA COINCIDENCE UNTUK PEMETAAN-PEMETAAN DALAM KOLEKSI S-KKM PADA RUANG KONVEKS-G: COINCIDENCE THEOREM FOR MAPPING IN S-KKM COLLECTION ON G- CONVEX SPACE

TIKU TANDIANGNGA, Rini Indrati

2011 | Disertasi | PROGRAM STUDI S2 MATEMATIKA

In this thesis, we discuss a coincidence theorem in a S-KKM collection on generalized convex spaces based on the definition of multi-valued mapping properties in the S-KKM collection. We begin the discussion by introducing a generalized convex space and its properties. Based on the definition of the properties on the generalized convex spaces, we define S-KKM mapping and S-KKM collection. Furthermore, by the coincidence theorem, we will search the intersection between a set y+C and a range of multi-valued mapping having the S-KKM property at y, where C is convex subset and for some y is element of a nonempty convex subset of locally convex topological vector spaces.

Kata Kunci : teorema coincidence