Continuity of KL-functions on continuous curves
1 Department of nonlinear analysis, Institute of Mathematics of the National Academy of Sciences of Ukraine, Kyiv, 01001, Ukraine
2 Institute of Mathematics, University of Silesia in Katowice, Katowice, 40-007, Poland
3 Department of Mathematical Analysis, Yuriy Fedkovych Chernivtsi National University, Chernivtsi, 58000, Ukraine
Keywords:
KL-functions
Abstract
Let __ be a Berean space, ___ be metric spaces, ___ be a continuous function, ___ be quasicontinuous with respect to the first variable and pointwise Lipschitz with respect to the second, and such that the function _____ has a nowhere dense set of discontinuity points. Then the set -___ is discontinuous at the point ____ is nowhere dense.
Cite
- ACS Style
- Gerasimenko, V.I.; Maslyuchenko, O.V. Continuity of KL-functions on continuous curves. Bukovinian Mathematical Journal. 2018, 1
- AMA Style
- Gerasimenko VI, Maslyuchenko OV. Continuity of KL-functions on continuous curves. Bukovinian Mathematical Journal. 2018; 1(288).
- Chicago/Turabian Style
- Viktor Ivanovich Gerasimenko, Oleksandr Volodymyrovych Maslyuchenko. 2018. "Continuity of KL-functions on continuous curves". Bukovinian Mathematical Journal. 1 no. 288.
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