Theorems on Common Coupled Fixed Point in C*-Algebra Valued Rectangular Parametric Metric Space
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https://doi.org/10.58414/SCIENTIFICTEMPER.2026.17.2.13Keywords:
C*-algebra, coupled fixed point, rectangular metric space, parametric metric space, w-compatibleDimensions Badge
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In this work, we establish several results concerning common coupled fixed points and coupled coincidence points for mappings that fulfill various contractive conditions within the framework of complete C*-algebra valued rectangular parametric metric space. Furthermore,we demonstrate the applicability of these theorems by proving the existence and uniqueness of solution to a Fredholm nonlinear integral equation.Abstract
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