Best proximity point theorems for $ \alpha^{+} F, (\theta-\phi )$-proximal contraction
DOI:
https://doi.org/10.20956/j.v18i2.17994Keywords:
proximity point, $ \alpha^{ } F$-proximal contraction, $ \alpha^{ } (\theta-\phi )$-proximal contractionAbstract
In this paper, inspired by the idea of Suzuki type $ \alpha^{+} F$-proximal contraction in metric spaces, we prove a new existence of best proximity point for Suzuki type $ \alpha^{+} F$-proximal contraction and $ \alpha^{+} (\theta-\phi )$-proximal contraction defined on a closed subset of a complete metric space. Our theorems extend, generalize, and improve many existing results.
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This work is licensed under a Creative Commons Attribution 4.0 International License.
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