An approach to the existence and uniqueness of fixed point results in $${\varvec{b}}$$ b -metric spaces via $${\varvec{s}}$$ s -simulation functions

Coincidence point results in b-metric spaces via C_F-s-simulation function

“…The purpose is to unify, generalize and improve several existing results in b-metric spaces. We underline that our approach has generalized the main results of [13,17]. An example with a corresponding numerical simulation is also provided to demonstrate the utility of the results.…”

“…Yamaod and Sintunavarat [17] defined the concept of s-simulation function as follows: Definition 6. Let s 1 be a given real number.…”

“…Liu et al [10] and RadenoviK c and Chandok [14] generalized the simulation function defined by Khojasteh et al [9]. Motivated by them we have generalized the s-simulation function introduced by Yamaod and Sintunavarat [17] using C -class functions having property C F . We have generalized the fixed point results proved in [17] to the coincidence point case.…”

“…Motivated by them we have generalized the s-simulation function introduced by Yamaod and Sintunavarat [17] using C -class functions having property C F . We have generalized the fixed point results proved in [17] to the coincidence point case. We introduce the notion of C F -s-simulation function.…”

“…In fact, Hierro et al [15] obtained coincidence point of two self mappings in the framework of metric spaces by using simulation functions. Also, Yamaod and Sintunavarat [17] studied the existence and uniqueness of fixed point of nonlinear mappings in the context of b-metric spaces involving s-simulation functions. Throughout this paper, we denote by N and R the set of natural numbers and real numbers, respectively.…”