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Higher Order of Convergence with Multivalued Contraction Mappings

Author

Listed:
  • Jia-Bao Liu
  • Asma Rashid Butt
  • Shahzad Nadeem
  • Shahbaz Ali
  • Muhammad Shoaib
  • Xiaolong Qin

Abstract

In this paper, we establish some theorems of fixed point on multivalued mappings satisfying contraction mapping by using gauge function. Furthermore, we use Q- and R-order of convergence. Our main results extend many previous existing results in the literature. Consequently, to substantiate the validity of proposed method, we give its application in integral inclusion.

Suggested Citation

  • Jia-Bao Liu & Asma Rashid Butt & Shahzad Nadeem & Shahbaz Ali & Muhammad Shoaib & Xiaolong Qin, 2020. "Higher Order of Convergence with Multivalued Contraction Mappings," Journal of Mathematics, Hindawi, vol. 2020, pages 1-8, November.
    • Handle: RePEc:hin:jjmath:8867897
    DOI: 10.1155/2020/8867897
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