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Topological Methods in Nonlinear Analysis

New fixed point results for nonlinear Feng-Liu contractions with applications
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New fixed point results for nonlinear Feng-Liu contractions with applications

Authors

  • Adrian Petruşel https://orcid.org/0000-0002-5629-5667
  • Gabriela Petruşel https://orcid.org/0000-0002-8405-1977
  • Jen-Chih Yao https://orcid.org/0000-0002-0855-4097

DOI:

https://doi.org/10.12775/TMNA.2023.030

Keywords

Multi-valued operator, fixed point, strict fixed point, complete metric space, comparison function, stability properties, integral inclusion

Abstract

In this paper we will extend the concept of multi-valued Feng-Liu contraction, by imposing a nonlinear assumption on the operator. Then, fixed point, strict fixed point and stability theorems for the fixed point inclusion with multi-valued nonlinear Feng-Liu contractions are given. An application illustrates the main theoretical results.

References

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Published

2024-03-03

How to Cite

1.
PETRUŞEL, Adrian, PETRUŞEL, Gabriela and YAO, Jen-Chih. New fixed point results for nonlinear Feng-Liu contractions with applications. Topological Methods in Nonlinear Analysis. Online. 3 March 2024. Vol. 63, no. 1, pp. 153 - 166. [Accessed 28 June 2025]. DOI 10.12775/TMNA.2023.030.
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Issue

Vol 63, No 1 (March 2024)

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Articles

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Copyright (c) 2024 Adrian Petruşel, Gabriela Petruşel, Jen-Chih Yao

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This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

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