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Common Fixed Points of a Subfamily of a Nonexpansive Periodic Evolution Family on a Strictly Convex Banach Space

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  • Gul Rahmat
  • Tariq Shah
  • Muhammad Sarwar
  • Hassen Aydi
  • Habes Alsamir
  • Ming-Sheng Liu

Abstract

In this study, we establish some results for strong convergence of a sequence to a common fixed point of a subfamily of a nonexpansive and periodic evolution family of bounded linear operators acting on a closed and bounded subset J of a strictly convex Banach space X. In fact, we generalized the results from semigroups of the operator to an evolution family of operators.

Suggested Citation

  • Gul Rahmat & Tariq Shah & Muhammad Sarwar & Hassen Aydi & Habes Alsamir & Ming-Sheng Liu, 2021. "Common Fixed Points of a Subfamily of a Nonexpansive Periodic Evolution Family on a Strictly Convex Banach Space," Journal of Mathematics, Hindawi, vol. 2021, pages 1-7, August.
    • Handle: RePEc:hin:jjmath:6668305
    DOI: 10.1155/2021/6668305
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