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Sumaji .
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Journal : EDUPEDIA

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LEBESGUE’S CRITERION FOR INTEGRABILITY Bayu Riyadhus Saputro; Sumaji .
EDUPEDIA Vol 2, No 1 (2018): April
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (351.113 KB) | DOI: 10.24269/ed.v2i1.85

Abstract

Lebesgue integral was defined constructively by using outer measure, measurable set, measurable function and Lebesgue measure concept. Then it was constructed by using simple function. The requirement of a Lebesgue integrable function to be Riemann integrable is bounded function and the set of discontinuities of that function has measure zero.
THE PROPERTIES OF OCCASIONALLY WEAKLY COMPATIBLE MAPPING ON FUZZY METRIC SPACES Citra Rizki; Sumaji .
EDUPEDIA Vol 2, No 1 (2018): April
Publisher : Universitas Muhammadiyah Ponorogo

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (331.25 KB) | DOI: 10.24269/ed.v2i1.87

Abstract

In this paper, describe about the properties of occasionally weakly compatible mapping on fuzzy metric spaces in terms of fixed point theory. The discussion of this research is strarted from the concept of fuzzy set and metric space and they were expanded into the concept of fuzzy metric space using continuous norm-t. Furthermore, in investigating about occasionally weakly compatible mapping on fuzzy metric space, we start by given the definition of compatible mapping, weakly commuting, and weakly compatible. Moreover, we construct some theorems to investigating the properties of occasionally weakly compatible mapping on fuzzy metric spaces. 
Co-Authors Bayu Riyadhus Saputro Citra Rizki