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

In: Advances in Metric Fixed Point Theory and Applications

Author

Listed:
  • 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
    University of Electronic Science and Technology of China, School of Mathematical Sciences)

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.

Suggested Citation

  • Oratai Yamaod & Wutiphol Sintunavarat & Yeol Je Cho, 2021. "Common Solutions for a System of Functional Equations in Dynamic Programming Passing Through the JCLR-Property in $$S_b$$ S b -Metric Spaces," Springer Books, in: Yeol Je Cho & Mohamed Jleli & Mohammad Mursaleen & Bessem Samet & Calogero Vetro (ed.), Advances in Metric Fixed Point Theory and Applications, chapter 0, pages 461-474, Springer.
    • Handle: RePEc:spr:sprchp:978-981-33-6647-3_19
    DOI: 10.1007/978-981-33-6647-3_19
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