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This is a Quantitative Study study.

September 12, 2025Journal of Function SpacesOpen Access

Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations

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The study introduces general forms of fixed point theorems in a-metric spaces, showing relevant adaptations.
Effective applications to integral equations reveal the utility of asymptotic fixed point results for solving complex problems.
The results expand on traditional Picard operators, presenting alternative mappings for better applications in mathematical contexts.
Findings denote significant contributions to the understanding of fixed point theories in broader mathematical frameworks.

Implication

This analysis presents Hardy–Rogers and Ćirić theorems using a-metric spaces, highlighting practical uses in integral equations.

Abstract

In this paper, using asymptotically regular sequences and mappings other than Picard operators, the most general forms of Hardy–Rogers and Ćirić fixed point theorems in the framework of A‐metric space are presented. Furthermore, we give some applications to integral equations, which show the effectiveness of fixed point results presented herein.

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Cite This Study

Beg et al. (2025) studied this question.

synapsesocial.com/papers/68d44b3f31b076d99fa5518b https://doi.org/10.1155/jofs/1727696

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Implication

This analysis presents Hardy–Rogers and Ćirić theorems using a-metric spaces, highlighting practical uses in integral equations.

Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations

Key Points

Implication

Abstract

Discussion

Cite This Study

Applications of Asymptotic Fixed Point Theorems in A‐Metric Spaces to Integral Equations

Key Points

Implication

Abstract

Discussion

Cite This Study

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