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A note on a Banach's fixed point theorem in $b$-rectangular metric space and $b$-metric space

In: Mathematica Slovaca, vol. 68, no. 5
Zoran D. Mitrović
Detaily:
Rok, strany: 2018, 1113 - 1116
Kľúčové slová:
one-sided fractional maximal operators, Sobolev spaces, bounded variation, continuity
O článku:
In this paper we investigate the regularity properties of one-sided fractional maximal functions, both in continuous case and in discrete case. We prove that the one-sided fractional maximal operators $\mathcal{M}_\beta^{+}$ and $\mathcal{M}_\beta^{-}$ map $W^{1,p}(\mathbb{R})$ into $W^{1,q}(\mathbb{R})$ with $1
Ako citovať:
ISO 690:
Mitrović, Z. 2018. A note on a Banach's fixed point theorem in $b$-rectangular metric space and $b$-metric space. In Mathematica Slovaca, vol. 68, no.5, pp. 1113-1116. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0172

APA:
Mitrović, Z. (2018). A note on a Banach's fixed point theorem in $b$-rectangular metric space and $b$-metric space. Mathematica Slovaca, 68(5), 1113-1116. 0139-9918. DOI: https://doi.org/10.1515/ms-2017-0172
O vydaní:
Publikované: 31. 10. 2018