Symmetry (Mar 2020)

On New Extensions of Darbo’s Fixed Point Theorem with Applications

  • Hüseyin Işık,
  • Shahram Banaei,
  • Farhan Golkarmanesh,
  • Vahid Parvaneh,
  • Choonkil Park,
  • Maryam Khorshidi

DOI
https://doi.org/10.3390/sym12030424
Journal volume & issue
Vol. 12, no. 3
p. 424

Abstract

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In this paper, we extend Darbo’s fixed point theorem via weak JS-contractions in a Banach space. Our results generalize and extend several well-known comparable results in the literature. The technique of measure of non-compactness is the main tool in carrying out our proof. As an application, we study the existence of solutions for a system of integral equations. Finally, we present a concrete example to support the effectiveness of our results.

Keywords