Suzuki Type Fixed Point Theorems in $S$-metric Space
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Keywords:
Fixed point, Suzuki contraction, $S$-metric space, Functional equationAbstract
Inspired by the work of Suzuki [19] and Sedghi et al. [16], we proved some Suzuki-type fixed point theorems in $S$-metric space which generalized the result of Sedghi et al. [16] and Edelstein [7]. Our first theorem also characterizes the completeness of $S$-metric space. Moreover, we gave an application for a certain class of functional equations arising in Dynamical programming and some examples to illustrate our results.
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