Abstract
We introduce some new generalization of fixed point theorems in complete metric spaces endowed withw-distances viaR-functions. Our results extend many of known fixed point theorems such as Reich type contraction, Geraghty contraction, Meir-Keeler contraction, andZ-contraction. In addition, the result and corollaries show that our approach has a constructive attitude and many known and unknown results can be constructed in such way.
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