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Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications

Author

Listed:
  • Amjad Ali
  • Eskandar Ameer
  • Muhammad Arshad
  • Hüseyin Işık
  • Mustafa Mudhesh
  • Padmapriya Praveenkumar

Abstract

This article constitutes the new fixed point results of dynamic process D(ϒ, μ0) through FIC-integral contractions of the Ciric kind and investigates the said contraction to iterate a fixed point of set-valued mappings in the module of metric space. To do so, we use the dynamic process instead of the conventional Picard sequence. The main results are examined by tangible nontrivial examples which display the motivation for such investigation. The work is completed by giving an application to Liouville†Caputo fractional differential equations.

Suggested Citation

  • Amjad Ali & Eskandar Ameer & Muhammad Arshad & Hüseyin Işık & Mustafa Mudhesh & Padmapriya Praveenkumar, 2022. "Fixed Point Results of Dynamic Process Dˇϒ,μ0 through FIC-Contractions with Applications," Complexity, Hindawi, vol. 2022, pages 1-8, February.
    • Handle: RePEc:hin:complx:8495451
    DOI: 10.1155/2022/8495451
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    Cited by:

    1. Muhammad Din & Umar Ishtiaq & Muzammil Mukhtar & Salvatore Sessa & Hassan Ali Ghazwani, 2024. "On Generalized Sehgal–Guseman-Like Contractions and Their Fixed-Point Results with Applications to Nonlinear Fractional Differential Equations and Boundary Value Problems for Homogeneous Transverse Ba," Mathematics, MDPI, vol. 12(4), pages 1-18, February.

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