Best proximity point for \(q\)-ordered proximal contraction in noncommutative Banach spaces. (English) Zbl 1527.54022
Summary: We introduce the concept of \(q\)-ordered proximal nonunique contraction for the non self mappings and then obtain some proximity point results for these mappings. We also furnish examples to support our claims.
MSC:
| 54H25 | Fixed-point and coincidence theorems (topological aspects) |
| 54E50 | Complete metric spaces |
| 41A65 | Abstract approximation theory (approximation in normed linear spaces and other abstract spaces) |
| 46L52 | Noncommutative function spaces |
Keywords:
best proximity point; proximal comparable; noncommutative Banach space; nonunique contractionReferences:
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