Fixed Point results in b-Metric Spaces Using Meir-Keeler Contraction with Application to the Dynamic Behavior of a Multispan Uniform Continuous Beam

Vishal Gupta; Surjeet Singh Chauhan; Kanika Rana

doi:10.5269/bspm.76407

Vishal Gupta Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India http://orcid.org/0000-0001-9727-2827
Surjeet Singh Chauhan Chandigarh University, Gharuan, Mohali, Punjab, India
Kanika Rana Chandigarh University, Gharuan, Mohali, Punjab, India

Resumen

In this paper, we establish new fixed-point results in the framework of b-metric spaces by utilizing Meir-Keeler type contractions. To demonstrate the applicability of our findings, we provide an illustrative example that confirms the validity of the established theorems. Furthermore, we apply the obtained results to solve a Volterra integral equation, which helps to analyze the dynamic behavior of a multispan uniform continuous beam. The presented solution gives the practical relevance of our theoretical results in mathematical modeling and engineering applications.

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Biografía del autor/a

Vishal Gupta, Maharishi Markandeshwar, Deemed to be University, Mullana, Haryana, India

Professor,

Department of Mathematics

Surjeet Singh Chauhan, Chandigarh University, Gharuan, Mohali, Punjab, India

Professor, Department of Mathematics, UIS, Chandigarh University, Gharuan, Mohali, Punjab, India

Kanika Rana, Chandigarh University, Gharuan, Mohali, Punjab, India

Department of Mathematics, Chandigarh University, Gharuan, Mohali, Punjab, India

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