RESULTS ON CONDENSED KANNAN-TYPE 2-CYCLIC MAP IN b-METRIC SPACES
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Date
2026-04
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SCIK Publisher
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..
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Citation
https://doi.org/10.28919/afpt/9699