Orbital Continuity and Common Fixed Points in Menger PM-Spaces
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Authors: R. M. NIKOLIć, V. T. RISTIć, J. FIJULJANIN AND A. ŠEBEKOVIć
DOI: 10.46793/KgJMat2307.1011N
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.
Keywords:
Orbital continuity, probabilistic metric spaces, common fixed point, nonlinear contractive condition.
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