Topologies and Fixed Points in Fuzzy Metric-Type Spaces

Yeol Je Cho, Themistocles M. Rassias and Reza Saadati
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Yeol Je Cho: Gyeongsang National University, Department of Mathematical Education
Themistocles M. Rassias: National Technical University of Athens, Department of Mathematics
Reza Saadati: Iran University of Science and Technology, Department of Mathematics

Chapter Chapter 10 in Fuzzy Operator Theory in Mathematical Analysis, 2018, pp 311-337 from Springer

Abstract: Abstract In this chapter, first, we introduce some extensions of metric spaces. Next, we introduce the concept of fuzzy metric-type spaces and consider the topology induced by the fuzzy metric type. Finally, we consider some fixed point theorems for some nonlinear mapping satisfying some conditions in complete fuzzy metric-type spaces.

Date: 2018
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DOI: 10.1007/978-3-319-93501-0_10

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