November 21, 2025Mathematics OpenOpen Access

Fixed Point Theorems for Reich, Hardy-Rogers, and Ciric Contractions in Cone Modular Spaces via λ-Iteration and Applications to Nonlinear Integral Equations

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Mathematical analysis demonstrates fixed point theorems in cone modular spaces, implying new applications in numerical computations.

Fixed point theorems extend the framework of contractions in cone modular spaces, enhancing existing results.
Key findings highlight convergence behavior through specific numerical computations based on defined iterations.
Comprehensive analysis included novel λ-iteration schemes, generalizing both Picard and Mann approaches.
Implications point to further applications and unresolved issues for potential future research in this area.

Elvin Rada (2025) studied this question.

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