Cone $\mathfrak{C}$-class functions using $(CLR_{\Gamma \mathfrak{L} })$-property on cone $b$-normed spaces with application

In this article, we demonstrate the conditions for the existence of common fixed points $(CFP)$ theorems for four self-maps satisfying the common limit range $(CLR)$-property on cone $b$-normed spaces $(CbNS)$ via $\mathfrak{C}$-class functions. Furthermore, we have a unique common fixed point for two weakly compatible $ (WC)$ pairings. Towards the end, the existence and uniqueness of common solutions for systems of functional equations arising in dynamic programming are discussed as an application of our main result. KCI Citation Count: 0