Advances in Metric Fixed Point Theory and Applications

Abstract

In this chapter, we introduce the new concept of the joint common limit in the range property (shortly, (JCLR)-property) in Sb-metric spaces and prove some common fixed point theorems by using the JCLR-property in Sb-metric spaces without the completeness of Sb-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. © The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Singapore Pte Ltd. 2021.