Fixed point result for a couple of mappings and its application via simulation in TVS-valued cone b-metric space Online publication date: Mon, 04-Mar-2024
by Mamta Patel; Sanjay Sharma
International Journal of Applied Nonlinear Science (IJANS), Vol. 4, No. 2, 2024
Abstract: Through this article, we establish the existence and uniqueness of the common fixed point theorem for a couple of contractive mappings in TVS-valued cone b-metric space in place of cone metric space. The results are new, especially in comparison with the theorems proved by Kumar and Ansari (2018) and the results present in the literature. We then provide an example to illustrate our findings. In addition, by using our results, we obtain the existence and uniqueness of a fixed point using a simulation function for Z-contraction mappings in TVS-valued cone b-metric space (TVS-valued CbMS) as an illustration.
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