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Unified Multi-tupled Fixed Point Theorems Involving Monotone Property in Ordered Metric Spaces

In: Advances in Metric Fixed Point Theory and Applications

Author

Listed:
  • Mohammad Imdad

    (Aligarh Muslim University, Department of Mathematics)

  • Aftab Alam

    (Aligarh Muslim University, Department of Mathematics)

  • Javid Ali

    (Aligarh Muslim University, Department of Mathematics)

  • Stojan Radenović

    (University of Belgrade, Faculty of Mechanical Engineering)

Abstract

In this chapter, we introduce a generalized notion of monotone property and prove some results regarding existence and uniqueness of multi-tupled fixed points for nonlinear contraction mappings satisfying monotone property in ordered complete metric spaces. Our results unify several classical and well-known n-tupled (including coupled, tripled and quadruple ones) fixed point results in the existing literature.

Suggested Citation

  • Mohammad Imdad & Aftab Alam & Javid Ali & Stojan Radenović, 2021. "Unified Multi-tupled Fixed Point Theorems Involving Monotone Property in Ordered 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 409-440, Springer.
    • Handle: RePEc:spr:sprchp:978-981-33-6647-3_17
    DOI: 10.1007/978-981-33-6647-3_17
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