MATEMATIČKI VESNIK Vol. 69, No. 1, pp. 39–52 (2017) 

Some fixed point theorems on Smetric spacesNíhal Yilmaz Özgür and Níhal TaşBalıkesir University, Department of Mathematics, 10145 Balıkesir, Turkey Email: nihal@balikesir.edu.tr, nihaltas@balikesir.edu.trAbstract: In this paper, we present some contractive mappings and prove new generalized fixed point theorems on $S$metric spaces. Also we define the notion of a cluster point and investigate fixed points of selfmappings using cluster points on $S$metric spaces. We obtain new generalizations of the classical NemytskiiEdelstein and Ćirić’s fixed point theorems for continuous selfmappings of compact $S$metric spaces. Keywords: $S$metric space; fixed point theorem; ${C}_{S}$mapping; ${L}_{S}$mapping; cluster point. Classification (MSC2000): 54E35; 54E40, 54E45, 54E50 Full text of the article: (for faster download, first choose a mirror)
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