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Hereafter, the concept of a function weighted quasi-metric space is introduced. A necessary topology on this new structure is considered. A condition that ensures the uniqueness of the limit of… Click to show full abstract
Hereafter, the concept of a function weighted quasi-metric space is introduced. A necessary topology on this new structure is considered. A condition that ensures the uniqueness of the limit of a sequence in such a space is provided. A relation between the bi-convergent sequences and the bi-Cauchy ones are proved. Certain classes of operators with respect to their fixed point properties are investigated, having in view this framework. Examples that support our results are also included.
Keywords:
weighted quasi;
fixed point;
function weighted;
quasi metric
Journal Title: IEEE Access
Year Published: 2019
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Journal Title: IEEE Access
Year Published: 2019
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!