Common fixed point theorems for generalized G − η − χ− contractive type mappings with applications
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CitationKumar, M., & Araci, S. (January 01, 2019). Common fixed point theorems for generalized G − η − χ− contractive type mappings with applications. Boletim Da Sociedade Paranaense De Matematica, 37, 1, 9-20.
Samet et. al. (Nonlinear Anal. 75, 2012, 2154-2165) introduced the concept of α − ψ− contractive type mappings in metric spaces. In 2013, Alghamdi et. al. introduced the concept of G−β−ψ−contractive type mappings in G-metric spaces. Our aim is to introduce new concept of generalized G − η − χ−contractive pair of mappings. Further, we study some fixed point theorems for such mappings in complete G-metric spaces. As an application, we further establish common fixed point theorems for G-metric spaces for cyclic contractive mappings.