2021 **Abstract:** The aims of this article are twofold. One is to prove some results regarding the existence of best proximity points of multivalued non-self quasi-contractions of b−metric spaces (which are symmetric spaces) and the other is to obtain a characterization of completeness of b−metric spaces via the existence of best proximity points of non-self quasi-contractions. Further, we pose some questions related to the findings in the paper. An example is provided to illustrate the main result. The results obtained herein …

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“…The "Completeness Problem" is equivalent to another problem in Behavioral Sciences known as the "End Problem" (see [32]). Completeness characterizations have further been studied in connection with best proximity points [33,34]. for all k ≥ j ≥ h n .…”

confidence: 99%

“…The "Completeness Problem" is equivalent to another problem in Behavioral Sciences known as the "End Problem" (see [32]). Completeness characterizations have further been studied in connection with best proximity points [33,34]. for all k ≥ j ≥ h n .…”

confidence: 99%

“…The theorems have ensured fixed point existence and uniqueness with functions defined to complete space and contractive function [4]. The theory of fixed point has a significant role in solving the problems in mathematics, i.e., linear equations, differential equations (ordinary and partial), and integral equations [5]. Fixed point theory has also helped solve problems in other scopes such as biology, physics, chemistry, economics, programming, and electronic engineering [6].…”

confidence: 99%