SOLUTION OF INTEGRAL EQUATION INVOLVING INTERPOLATIVE ENRICHED CYCLIC KANNAN CONTRACTION MAPPINGS

Authors

  • Mujahid Abbas Department of Mathematics, Government College University, 54000, Lahore, Pakistan
  • Rizwan Anjum Division of Science and Technology, Department of Mathematics, University of Education, 54770, Lahore, Pakistan
  • Shakeela Riasat Abdus Salam School of Mathematical Sciences, Government College University, 54600, Lahore, Pakistan

DOI:

https://doi.org/10.58715/bangmodjmcs.2023.9.1

Keywords:

Fixed point, interpolative Kannan contraction, enriched cyclic contraction, integral equation

Abstract

The purpose of this paper is to introduce the class of interpolative enriched cyclic Kannan contraction mappings defined on an Banach space and to prove the existence and uniqueness of fixed point of the such mappings. An example is presented to support the concept introduced herein. Moreover, an application of the main result to solve nonlinear integral equations is also given. Our result extend and generalize various results in the existing literature.

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Published

2023-12-31

How to Cite

Abbas, M., Anjum, R., & Riasat, S. (2023). SOLUTION OF INTEGRAL EQUATION INVOLVING INTERPOLATIVE ENRICHED CYCLIC KANNAN CONTRACTION MAPPINGS. Bangmod International Journal of Mathematical and Computational Science, 9, 1–9. https://doi.org/10.58715/bangmodjmcs.2023.9.1

Issue

Vol. 9 (2023)

Section

Research Article

License

Copyright (c) 2023 Bangmod International Journal of Mathematical and Computational Science

Creative Commons License

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

Copyright (c) 2015 Bangmod International Journal of Mathematical Computational Science

Creative Commons License

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