Results on condensed Kannan-type 2-cyclic map in b-metric spaces
Abstract
Some authors recently proposed a condensed Kannan-type map that can solve nonlinear problems with unique and non-unique solutions. However, these findings may not address all situations involving inexact spaces. This study presents a strategy for proving fixed points of Kannan-type 2-cyclic contractions by condensation in inexact spaces, commonly referred to as b-metric spaces. We further extend the findings to study fixed points of trivially cyclic mappings. With the aid of examples comprising cyclic and trivially cyclic mappings, we validate all hypotheses of this study. The results show that the condensed cyclic Kannan-type map is more elaborate than the previous Kannan-type cyclic maps in the literature, solves problems with the inexact structures, and ensures unique and non-unique fixed points.
Copyright © 2026 Salaudeen Alaro Musa, Olalekan Taofeek Wahab, Tajudeen Olaniyi Aliu, Musa Olajide Fatai, Musiliudeen Adisa Anise. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Cite this article
S. A. Musa, O. T. Wahab, T. O. Aliu, M. O. Fatai, M. A. Anise, Results on condensed Kannan-type 2-cyclic map in b-metric spaces, Adv. Fixed Point Theory 16 (2026), 12. https://doi.org/10.28919/afpt/9699
BibTeX
@article{Musa2026,
author = {Musa, Salaudeen Alaro and Wahab, Olalekan Taofeek and Aliu, Tajudeen Olaniyi and Fatai, Musa Olajide and Anise, Musiliudeen Adisa},
title = {Results on condensed Kannan-type 2-cyclic map in b-metric spaces},
journal = {Adv. Fixed Point Theory},
volume = {16},
year = {2026},
pages = {12},
doi = {10.28919/afpt/9699}
}