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In this chapter, we introduce an implicit type contractive condition, and by using this condition, we discuss the existence and uniqueness of a common fixed point for a pair of admissible mappings. The work presented here unifies and extends several existing results. Further, as an application of our main result, a sufficient condition for the existence of a solution to a nonlinear fractional differential equation is also incorporated here.

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Admissible Mappings with Implicit Relations in Metric Spaces

  • 章节

  • 发表日期：

    2026年

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  • Kavita,
  • Sanjay Kumar,
  • Manish Jain,
  • Sushma Devi

摘要

In this chapter, we introduce an implicit type contractive condition, and by using this condition, we discuss the existence and uniqueness of a common fixed point for a pair of admissible mappings. The work presented here unifies and extends several existing results. Further, as an application of our main result, a sufficient condition for the existence of a solution to a nonlinear fractional differential equation is also incorporated here.