Coincidence and common fixed point theorems for generalized αT-contraction via tri-simulation function with an application

	Coincidence and common fixed point theorems for generalized αT-contraction via tri-simulation function with an application
International Journal of Nonlinear Analysis and Applications
مقاله 15، دوره 16، شماره 4، تیر 2025، صفحه 169-180 اصل مقاله (375.3 K)
نوع مقاله: Research Paper
شناسه دیجیتال (DOI): 10.22075/ijnaa.2024.29098.4058
نویسنده
Sahil Arora^*
Department of Mathematics, K.R.M.D.A.V. College, Nakodar-144040, Punjab, India
چکیده
In this manuscript, we introduce the concept of generalized $\alpha \mathcal{T}$-contractive pair of mappings with the assistance of a tri-simulation function and use this concept to establish some coincidence and common fixed point theorems via $\alpha$-permissible mapping. We also give an illustrative example which yields the main result. Also, many existing results in the frame of metric spaces are established. We also apply our main theorem to derive coincidence and common fixed point results for $\alpha \mathcal{T}$-contractive mapping with the assistance of $\alpha$-permissible function.
کلیدواژه‌ها
tri-simulation function؛ coincident point؛ common fixed point؛ generalized $\alpha$ T -contraction؛ alpha-permissible function
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