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Abstract
In this paper, we establish common fixed-point theorems for a class of self-mappings satisfying expansive-type conditions within the framework of cone rectangular metric spaces. These generalized metric spaces incorporate a cone structure in a real Banach space, allowing for a partial ordering and broader applicability beyond traditional metric settings. We provide sufficient conditions under which such mappings admit a unique common fixed point. The presented results extend and refine several known fixed-point theorems. Additionally, examples are included to demonstrate the applicability and effectiveness of the theoretical findings in generalized metric and nonlinear analysis contexts.
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References
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