SOLUTION OF INTEGRAL EQUATION INVOLVING INTERPOLATIVE ENRICHED CYCLIC KANNAN CONTRACTION MAPPINGS

Mujahid Abbas; Rizwan Anjum; Shakeela Riasat

doi:10.58715/bangmodjmcs.2023.9.1

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