NEW FIXED POINT RESULTS FOR ASYMPTOTIC CONTRACTIONS AND ITS APPLICATION TO CANTILEVER BEAM PROBLEMS

Authors

  • S. Karmakar Department of Mathematics, National Institute of Technology Durgapur, India Author
  • H. Garai Department of Science and Humanities, Siliguri Government Polytechnic, Siliguri, India Author
  • A. Chanda Department of Mathematics, Vellore Institute of Technology, Vellore, India Author
  • L. K. Dey Department of Mathematics, National Institute of Technology Durgapur, India Author

DOI:

https://doi.org/10.57016/MV-anbl7148

Keywords:

Asymptotic contractions, orbital continuity, cantilever beam problems, boundary value problems

Subjects:

47H10, 54H25

Abstract

In this article, we deal with some interesting variants of asymptotic contractions, namely Reich type and Chatterjea type weak asymptotic contractions defined on the usual metric spaces. We derive a couple of fixed point results concerning such contractions. Moreover, we look over the existence of solutions to a fourth-order two-point boundary value problem which is a particular type of cantilever beam problems. Furthermore, we construct numerical examples to justify our obtained results.

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Published

2022-10-15

Issue

Vol. 74 No. 4 (2022): Vol. 74, Issue 4

Section

Articles

License

Copyright (c) 2022 Authors retain copyright to their work.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.