Banach: operations in abstract sets and integral equations

What changed

Developed a general theory of complete normed linear spaces and included the contraction fixed-point principle for proving existence and uniqueness by successive approximation.

Scientific scope

The record is the exact 1922 Fundamenta Mathematicae paper, based on Banach’s 1920 thesis. Later Banach-space terminology, general fixed-point theorems and applications remain separate.

Evidence

The linked sources identify this contribution and its scope. WRS has not independently reconstructed the scientific claims. The record is the exact 1922 Fundamenta Mathematicae paper, based on Banach’s 1920 thesis. Later Banach-space terminology, general fixed-point theorems and applications remain separate.

Contributors

• Stefan Banach · SCIENCE: Named source author of the scoped work; individual effort shares are not measured.

• Institutional copy of Banach 1922
• Crossref record for Banach 1922

Provisional WRS assessment, edition 2026-10-16.1. Independent expert calibration is pending. This grade does not certify correctness or assign ownership.

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