C -Valued G-Contraction and Fixed Point


Recently, Ma et al. introduced the notion of C -valued metric spaces and extended the Banach contraction principle for self mappings on C-valued metric spaces. Motivated by the work of Jachymski, in this thesis we extend and improve some fixed point results on C-valued metric space satisfying the contractive condition for those pairs of elements from the metric space which form edges of a graph. Our results generalize and extend the main result of Jachymski and Ma et al. and those contained therein. We also establish some examples to elaborate our new notions and to substantiate our results.

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