TEOREMA TITIK TETAP UNTUK PEMETAAN ?-KUASI-KONTRAKSI BERNILAI HIMPUNAN PADA RUANG b-METRIK; ( FIXED POINT THEOREM FOR SET-VALUED ?-QUASI-CONTRACTION MAPS ON A b-METRIC SPACE )

Mas'ud, Syamsuddin, Yusuf

2015 | Disertasi | FMIPA

In this thesis, we introduce the concept of set-valued quasi-contraction mapping and establish the existence of it’s fixed point in metric space. This result will be generalized on b-metric spaces by introducing the concept of b-metric first. This generalization improves a fixed point theorem for set-valued contraction mapping. Next, in order to get a more general result, the existence of a fixed point for setvalued ?-quasi-contraction, we use the concept of ?-admissible and some additional condition.

Kata Kunci : fixed point; set-valued mapping; b-metric; quasi-contraction; ?-admissibel.