FIXED POINT THEOREMS FOR CONTRACTIONS AND GENERALIZED CONTRACTIONS IN COMPACT S-METRIC SPACES
MOHAMMAD MAHDI REZAEE
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
SHABAN SEDGHI *
Department of Mathematics, Qaemshahr Branch, Islamic Azad University, Qaemshahr, Iran.
ABDELKRIM ALIOUCHE
Department of Mathematics and Informatics, Larbi Ben M'Hidi University, Oum El Bouaghi, 04000, Algeria.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we prove some fixed point theorems for contractions and generalized contractions in compact S-metric spaces. This work generalizes theorem 1.1 of Edelstein [1] and theorem 1.2 of Suzuki [2].
Keywords: Compact S-metric spaces, fixed Point, contraction, generalized contraction