What question did this study set out to answer?

The aim is to extend Darbo’s fixed-point theorem using Geraghty–𝔽-contractions in Banach spaces.

March 10, 2026Journal of MathematicsOpen Access

Geraghty–𝔽‐Contraction Type Darbo Fixed‐Point Theorems With an Application

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Extends Darbo’s fixed-point theorem for fractional integral equations, suggesting practical applications in noncompact spaces.

The aim is to extend Darbo’s fixed-point theorem using Geraghty–𝔽-contractions in Banach spaces.
Employ Geraghty–𝔽-contractions on Banach spaces.
Apply results to fractional integral equations.
Use Hausdorff measure of noncompactness.
Provide illustrative examples with figures.
Established existence of solutions for fractional integral equations.
Demonstrated theoretical findings through practical examples.
Highlighted effectiveness of results with visual representations.

Bonab et al. (2026) studied this question.

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March 10, 2026Journal of MathematicsOpen Access

View Full Paper

Ask AI

Bookmark

Authors

Extends Darbo’s fixed-point theorem for fractional integral equations, suggesting practical applications in noncompact spaces.

The aim is to extend Darbo’s fixed-point theorem using Geraghty–𝔽-contractions in Banach spaces.
Employ Geraghty–𝔽-contractions on Banach spaces.
Apply results to fractional integral equations.
Use Hausdorff measure of noncompactness.
Provide illustrative examples with figures.
Established existence of solutions for fractional integral equations.
Demonstrated theoretical findings through practical examples.
Highlighted effectiveness of results with visual representations.

Bonab et al. (2026) studied this question.

View Full Paper

Ask AI

Bookmark