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

Oratai Yamaod (), Wutiphol Sintunavarat () and Yeol Je Cho ()
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Oratai Yamaod: National Sports University Suphanburi Campus, Faculty of Sports and Health Science
Wutiphol Sintunavarat: Thammasat University Rangsit Center, Department of Mathematics and Statistics, Faculty of Science and Technology
Yeol Je Cho: Gyeongsang National University, Department of Mathematics Education

Chapter Chapter 19 in Advances in Metric Fixed Point Theory and Applications, 2021, pp 461-474 from Springer

Abstract: Abstract In this chapter, we introduce the new concept of the joint common limit in the range property (shortly, (JCLR)-property) in $$S_b$$ S b -metric spaces and prove some common fixed point theorems by using the JCLR-property in $$S_b$$ S b -metric spaces without the completeness of $$S_b$$ 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.

Keywords: $$\blacksquare; \blacksquare; \blacksquare; $$; ▪; ▪; ▪ (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-981-33-6647-3_19

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DOI: 10.1007/978-981-33-6647-3_19

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