NEW RESULTS FOR α-GERAGHTY TYPE CONTRACTIVE MAPS WİTH SOME APPLICATIONS

Authors : Esra YOLACAN, Mehmet KIR

Pages : 651-658

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Publication Date : 2016-09-30

Article Type : Other Papers

Abstract :In this paper, we establish some coupled fixed point theorems for α-Geraghty type contractive mappings in the context of partially ordered metric spaces. Applying these results, we deduce fixed point results on metric spaces endowed with graph. Also, the effectiveness of our work is validated with the help of a suitable example.
Keywords : fixed point, partially ordered set, Geraghty type contractive, connected graph