Establishes fixed point theorems in perturbed metric spaces, suggesting solutions for boundary value problems.
In this paper, following the definition of the perturbed metric space, some fixed point theorems are established for perturbed mappings in complete perturbed metric spaces.The result is justified by a counterexample.Finally, an application of this theorem for existence of a solution for the second-order boundary value problem is given.
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Barman et al. (2026) studied this question.
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