Application of Fixed Point Results via Weakly Asymptotic Type Contractions

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R. Sri Bharathi, Ashis Bera

Abstract

In this article, we present a new class of asymptotic contractions in the context of the usual metric spaces. We establish a few fixed point theorems related to our newly introduced weakly asymptotic Ciric type contractions. Also, we provide a constructive numerical example to support our main results. Moreover, we use our results to establish the existence of solutions for a specific kind of cantilever beam problem: a fourth-order two-point boundary value problem.

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