Orbital Continuity and Common Fixed Points in Menger PM-Spaces
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Published:2023
Issue:7
Volume:47
Page:1011-1019
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ISSN:1450-9628
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Container-title:Kragujevac Journal of Mathematics
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language:
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Short-container-title:KgJMat
Author:
,NIKOLIĆ RALE M.,RISTIĆ VLADIMIR T., ,FIJULJANIN JASMINA, ,ŠEBEKOVIĆ ALEKSANDAR,
Abstract
In this paper, we prove that if a pair of semi R-commuting self-mappings defined on Menger PM-spaces with a nonlinear contractive condition posses a unique common fixed point, then these mappings are orbitally continuous. Also, we investigate whether this assertion and it converse holds if we replace semi R-commutativity with some other concept of commutativity in the weaker sense.
Publisher
University Library in Kragujevac