Global Attractivity of Matrix Difference Equations Using Enriched Jungck Contractions

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DOI: https://doi.org/10.28924/2291-8639-24-2026-176
Published: Jun 15, 2026
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P. Naveen Kumar, D. Ramesh Kumar, Global Attractivity of Matrix Difference Equations Using Enriched Jungck Contractions, Int. J. Anal. Appl., 24 (2026), 176.

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P. Naveen Kumar, D. Ramesh Kumar

Abstract

This paper intuitively gives a justifiable approach to enriched-type Jungck contraction. In [11][Common fixed points theorems for enriched Jungck contractions in Banach spaces. J. Fixed Point Theory Appl. 23(4) (2021) 76], we have noted that there is a technical error in the proof of the main theorem as well as the example and so we argue with a counter-example. Moreover, we correct and prove it under an enriched general class of Jungck contraction using weak compatibility, and an example is given to validate our result. In addition, we obtain the fixed points under generalized enriched Presi´c type contraction. Finally, we apply our result in proving the existence and uniqueness of globally ˘ attractive equilibrium points for matrix difference equations.

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