Hardy-Rogers Type Contractions in Double Controlled G-Metric Type Spaces

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DOI: https://doi.org/10.28924/2291-8639-24-2026-116
Published: Apr 20, 2026
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Fatima M. Azmi, Elif Kaplan, Hardy-Rogers Type Contractions in Double Controlled G-Metric Type Spaces, Int. J. Anal. Appl., 24 (2026), 116.

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Fatima M. Azmi, Elif Kaplan

Abstract

In this study, we establish a series of novel fixed-point theorems for Hardy–Rogers type (β-F)-contractions within the framework of double controlled G-metric type spaces (DCGMS). The presented results extend and unify several classical contraction principles, including those of Banach, Kannan, Chatterjea, and Reich, thereby offering a broader perspective on the existing fixed point theory. Moreover, we provide a detailed analysis of completeness and Cauchy sequence properties in DCGMS, laying a solid foundation for further theoretical developments. To illustrate the applicability and robustness of the proposed results, a nontrivial example is constructed. These findings contribute to the enrichment of the fixed point literature and open potential avenues for applications in nonlinear analysis and related fields.

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