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July 30, 2026Fixed Point Theory and Algorithms for Sciences and EngineeringOpen Access

Measures of noncompactness in Lipschitz Banach algebra and application to quadratic fractional integral equation

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Authors

HKHojjatollah Amiri KayvanlooM‎M. ‎MursaleenÖKÖmer Kişi

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Overview

Randomized trial investigates solvability of a nonlinear equation using noncompactness measures, suggesting a novel approach in mathematical analysis.

Key Points

  • This research aims to explore measures of noncompactness in a Banach algebra and their application to a specific type of integral equation.
  • Introduced a Banach algebra defined on an unbounded interval satisfying the Lipschitz condition
  • Defined and analyzed measures of noncompactness in this algebra
  • Applied Darbo's fixed point theorem to a nonlinear quadratic fractional integral equation
  • Demonstrated that the defined measures of noncompactness allow for solvability of the integral equation
  • Provided a supporting example illustrating the main findings

Cite This Study

Kayvanloo et al. (2026) studied this question.

synapsesocial.com/papers/6a6af4e960e2b924d3ea06d8https://doi.org/10.1186/s13663-026-00845-5
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