Unique common fixed point theorem using simulation function fulfilling common limit in the range property

Unique common fixed point theorem using simulation function fulfilling common limit in the range property

In the current research paper we have defined rationalized Ξ-contraction for four mappings. In b-metric, using simulation function, for rationalized Ξ-contraction fulfilling the weakly compatible condition for four mappings in pairs, fulfilling conjoint limit range property, a unique common fixed po...

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Hauptverfasser: Aserkar, Anushree A., Gandhi, Manjusha P., Chib, Shiney
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Fixed points (mathematics)
Metric space
Theorems
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Gandhi, Manjusha P.
Chib, Shiney
description In the current research paper we have defined rationalized Ξ-contraction for four mappings. In b-metric, using simulation function, for rationalized Ξ-contraction fulfilling the weakly compatible condition for four mappings in pairs, fulfilling conjoint limit range property, a unique common fixed point theorem has been proved. The conclusion has been tested by not using the situation of completeness for b-metric space. The outcome is an improvement and generalization of [2, 4, 6] existing in metric space and b-metric spaces. To back-up the result a supporting example is also discussed.
doi_str_mv 10.1063/5.0224561
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subjects Fixed points (mathematics)
Metric space
Theorems
title Unique common fixed point theorem using simulation function fulfilling common limit in the range property
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