Optimal best proximity coincidence point theorems for generalized nonlinear contraction mappings

Somayya Komal, Somayya Komal, Poom Kumam


In this paper, we obtained the optimal best proximity coincidence point theorem for $\alpha$-Geraghty contractions in the setting of complete metric spaces by using weak $P$-property. Also we presented some examples to prove the validity of our results. Our results extended and unify many existing results in the literature.


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