Common Solutions for a System of Functional Equations in Dynamic Programming Passing Through the JCLR-Property in $$S_b$$-Metric Spaces

In this chapter, we introduce the new concept of the joint common limit in the range property (shortly, (JCLR)-property) in \(S_b\)-metric spaces and prove some common fixed point theorems by using the JCLR-property in \(S_b\)-metric spaces without the completeness of \(S_b\)-metric spaces. We also give some examples to illustrate our results. As applications of our results, we show the existence of common solutions for a system of functional equations in dynamic programming.