Fixed Point of Interpolative Contraction on Metric Space Endowed with Graph

  • J. A. Jiddah Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria.
  • M. S. Shagari Department of Mathematics, Faculty of Physical Sciences, Ahmadu Bello University, Zaria, Nigeria.
  • I Abdulazeez Department of Mathematics, Faculty of Science, Kaduna State University, Kaduna, Nigeria.
  • A. T. Imam Department of Mathematics, School of Physical Sciences, Federal University of Technology, Minna, Nigeria.
DOI: https://doi.org/10.6084/m9.figshare.21937952
Keywords: Metric space, fixed point, Kannan-type contraction, interpolation, connected graph, Picard operator

Abstract

In this manuscript, a new concept of interpolative contraction, namely interpolative Kannan type (G)-contraction is introduced in metric space endowed with a graph, and novel conditions for which the new mapping is a Picard operator are investigated. The preeminence of this type of contraction is that it complements and subsumes a few corresponding notions in the literature. Substantial examples are constructed to validate the assumptions of our obtained results and to show their distinction from the existing ones.

Published
2023-01-22
How to Cite
Jiddah, J. A., Shagari, M. S., Abdulazeez, I., & Imam, A. T. (2023). Fixed Point of Interpolative Contraction on Metric Space Endowed with Graph. International Journal of Mathematical Sciences and Optimization: Theory and Applications, 8(2), 58 - 67. https://doi.org/10.6084/m9.figshare.21937952
Issue
Vol 8 No 2 (2022)
Section
Articles

Copyright (c) 2023 J. A. Jiddah, M. S. Shagari, I Abdulazeez, A. T. Imam

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