Articles with "ordered metric" as a keyword



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Extensions of T0-quasi-metrics

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Published in 2017 at "Acta Mathematica Hungarica"

DOI: 10.1007/s10474-017-0753-z

Abstract: Let $${(X, m, \leq)}$$(X,m,≤) be a partially ordered metric space, that is, a metric space (X, m) equipped with a partial order $${\leq}$$≤ on X. We say that a T0-quasi-metric d on X is m-splitting… read more here.

Keywords: metric space; partially ordered; ordered metric; quasi metric ... See more keywords
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New Fixed Point Theorems and Application of Mixed Monotone Mappings in Partially Ordered Metric Spaces

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Published in 2018 at "Journal of Function Spaces"

DOI: 10.1155/2018/9231508

Abstract: We consider the existence of a coupled fixed point for mixed monotone mapping F:X×X→X satisfying a new contractive inequality which involves an altering distance function in partially ordered metric spaces. We also establish some uniqueness… read more here.

Keywords: monotone; mixed monotone; metric spaces; partially ordered ... See more keywords