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Fixed Point Results of Expanding Mappings in Nonsolid Abstract Metric Spaces With Applications

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  • Yan Han
  • Guoqiong Zhou
  • Huaping Huang

Abstract

In this paper, several fixed point results of expanding mappings in the extended abstract metric spaces are established with nonsolid cones. The definitions of Cauchy sequences, convergent sequences, and completeness in the nonsolid extended abstract metric spaces are reintroduced. We prove that the fixed points exist in these spaces by deleting the continuity assumption. The main results extend many existing theorems in the reference. As a consequence, we present several examples to demonstrate that our results apply to both solid cones and nonsolid cones.

Suggested Citation

  • Yan Han & Guoqiong Zhou & Huaping Huang, 2025. "Fixed Point Results of Expanding Mappings in Nonsolid Abstract Metric Spaces With Applications," Journal of Mathematics, John Wiley & Sons, vol. 2025(1).
    • Handle: RePEc:wly:jjmath:v:2025:y:2025:i:1:n:5559434
    DOI: 10.1155/jom/5559434
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    References listed on IDEAS

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    1. Jerolina Fernandez & Neeraj Malviya & Ana Savić & Marija Paunović & Zoran D. Mitrović, 2022. "The Extended Cone b -Metric-like Spaces over Banach Algebra and Some Applications," Mathematics, MDPI, vol. 10(1), pages 1-11, January.
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