Existence of solutions of an infinite Mixed Volterra-Fredholm integral system in ℓ1 space

Applying the FPT, we offer an existence result for an infinite mixed Volterra-Fredholm type nonlinear integral system in the sequence space ℓ1. Here Meir-Keeler FPT is used and we use the concept of measure of noncompactness. To further demonstrate the given existence result, we provide some examples.

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Publication Details

Journal
Boletim da Sociedade Paranaense de Matemática
Published
2025-08-13
DOI
https://doi.org/10.5269/bspm.77820
Primary Topic
Archaeological Research and Protection
Type
article
Field-Weighted Citation Impact
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article

Existence of solutions of an infinite Mixed Volterra-Fredholm integral system in ℓ1 space

Boletim da Sociedade Paranaense de Matemática
Archaeological Research and Protection
article

Existence of solutions of an infinite Mixed Volterra-Fredholm integral system in ℓ1 space

article en

Abstract

Applying the FPT, we offer an existence result for an infinite mixed Volterra-Fredholm type nonlinear integral system in the sequence space ℓ1. Here Meir-Keeler FPT is used and we use the concept of measure of noncompactness. To further demonstrate the given existence result, we provide some examples.

Boletim da Sociedade Paranaense de MatemáticaVol. 43
Gauhati University (IN)
Reduced inequalities
Openalex Percentile: Top 50%
Archaeological Research and Protection
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Existence of solutions of an infinite Mixed Volterra-Fredholm integral system in ℓ1 space · Boletim da Sociedade Paranaense de Matemática (2025) | TGRS Research Map | TGRS