Integral Contraction Techniques for Twisted Coupling in C∗-Algebra Valued G-Metric Spaces and Their Applications

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DOI: https://doi.org/10.28924/2291-8639-24-2026-79
Published: Mar 19, 2026
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Prathigadapa Anuradha, Varanasi Srinivas Chary, Integral Contraction Techniques for Twisted Coupling in C∗-Algebra Valued G-Metric Spaces and Their Applications, Int. J. Anal. Appl., 24 (2026), 79.

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Prathigadapa Anuradha, Varanasi Srinivas Chary

Abstract

This paper presents novel twisted (α, β)-ϕ-ψ-integral type contractive conditions based on T-coupling. A main theorem is established to guarantee the existence and uniqueness of strong coupled coincidence and common fixed points within C∗-algebra valued G-metric spaces (C∗-AV-G-MS). The results extend previous studies, are illustrated with examples, and demonstrate the framework’s applicability to functional equations and homotopy theory.

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