On the Limits of Proximate Sequences.
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Authors: A. BUKLLA
DOI: 10.46793/KgJMat2307.1087B
Abstract:
We investigate the continuity of the pointwise limits of proximate sequences. Both general proximate sequences and a subclass are considered. We obtain some results related to the fixed points of the limit functions and fixed point like properties of the proximate sequences.
Keywords:
intrinsic shape, proximate sequence, limit function, fixed point property.
References:
[1] K. Borsuk, Theory of Shape, Polish Scientific Publisher, Warszawa, 1975.
[2] N. Shekutkovski, Intrinsic definition of strong shape for compact metric spaces, Topology Proc. 39 (2012), 27–39.
[3] N. Shekutkovski, Intrinsic shape - The proximate approach, Filomat 29(10) (2015), 2199–2205. https://doi.org/10.2298/FIL1510199S
[4] N. Shekutkovski, Z. Misajleski, Gj. Markoski and M. Shoptrajanov, Equivalence of intrinsic shape, based on V -continuous functions, and shape, Bulletin Mathematique 1 (2013), 39–48.
[5] R. J. Pawlak, On some properties of the spaces of almost continuous functions, Int. J. Math. Math. Sci. 19(1) (1996), 19–24.
[6] A. Buklla and Gj. Markoski, Proximately chain refinable functions, Hacet. J. Math. Stat. 48(5) (2019), 1437–1442. https://doi.org/10.15672/HJMS.2018.584