Existence of Nonlinear Problems: An Applicative and Computational Approach

Aditya Singh (), Mudasir Younis and Deepak Singh
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Aditya Singh: Indian Institute of Technology (IIT) Indore, Department of Civil Engineering
Mudasir Younis: UIT-Rajiv Gandhi Technological University (State Technological University of M.P.), Department of Applied Mathematics
Deepak Singh: NITTTR, Under Ministry of HRD, Government of India, Department of Applied Sciences

Chapter Chapter 34 in Integral Methods in Science and Engineering, 2019, pp 437-450 from Springer

Abstract: Abstract In this paper, we initiate the variants of (F, ψ)-rational type contractions and prove some fixed point results for such mappings in a complete metric space endowed with partial order. Some examples are given to illustrate the usability of the established concept. Application to integral equation is given to highlight the usability of the obtained results. We explain an illustrative example with computer simulation to validate the application of our result to integral equation, which includes some surfaces demonstrating the justification of approximate solution of the integral equation along with error function. With this execution, we provide an access to the theory of fixed point with some relevant and innovative applications.

Date: 2019
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-16077-7_34

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DOI: 10.1007/978-3-030-16077-7_34

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