Abstract:In this paper, we introduce generalized (alpha, psi,phi)-contractive maps and provethe existence and uniqueness of xed points in complete S-metric spaces. We alsoprove that these maps satisfy property (P). We discuss the importance of study of the existence of xed points in S-metric space rather than in the setting of metric space.The results presented in this paper extends several well known comparable results in metric and G-metric spaces. We provide example in support of our result.
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