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Neutrosophic Sets and Systems

Abstract

Nonlinear Optimization, Game theory, economics and study of differential equations are just a few of the many domains in which fixed point theory (FPT) is essential. It is possible to construct new forms of infinite products by using continuous triangular norms (TN) and continuous triangular co-norms (TC). Banach contraction principal has been established in the context of neutrosophic metric space (NMS) within the framework through the use of these newly define infinite products. We introduced integral type contractive condition in -chainable NMS and establishes a common fixed point theorems (CFPTs) in the current work. The result acquired in this study are intended to consolidate and expand upon numerous existing discoveries in the field of NMS.

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