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The research aims to introduce new types of contractions for fixed-point theory and explore their applications.

Approximating fixed points of Bianchini type mappings

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The research aims to introduce new types of contractions for fixed-point theory and explore their applications.
Developed (?,a,k)-SM-Bianchini and generalized (?,a,k)-SM-Bianchini contractions.
Employed theoretical frameworks to analyze fixed-point occurrences.
Applied the new contractions to the split feasibility problem.
Established that the new contractions extend classical results in fixed-point theory.
Demonstrated practical applications of the generalized contractions in solving the split feasibility problem.

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Novel contractions demonstrate utility in fixed-point theory, suggesting broader applications in mathematics.

Chamoli et al. (2025) studied this question.

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