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This is a Theoretical Analysis study.

September 10, 2025International Journal of Students Research in Technology & ManagementOpen Access

Remarks on Fixed-Point Theorem, Separation of Convex Sets and Application in Linear Operator Theory

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A dual space corresponding to a subspace of a reflexive Banach space is developed, with critical implications for operator theory.
Proven fixed-point and existence theorems for general maps suggest new analytical approaches within functional analysis.
Properties of linear continuous operators are identified, enhancing understanding of their behavior in relation to convex sets.
Novel construction methods for dual spaces in strictly convex norms may advance optimization and mathematical modeling applications.

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Implication

Theoretical analysis reveals properties of fixed-point theorems and operator behavior in Banach spaces, indicating implications for convex set separation.

Cite This Study

Dubey et al. (2025) studied this question.

synapsesocial.com/papers/68c1954e9b7b07f3a0618bb7 https://doi.org/10.18510/ijsrtm.2025.1321

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Implication

Theoretical analysis reveals properties of fixed-point theorems and operator behavior in Banach spaces, indicating implications for convex set separation.

Remarks on Fixed-Point Theorem, Separation of Convex Sets and Application in Linear Operator Theory

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Discussion

Implication

Cite This Study

Remarks on Fixed-Point Theorem, Separation of Convex Sets and Application in Linear Operator Theory

Key Points

Discussion

Implication

Cite This Study

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