Exploring fixed point results for condensed Kannan-type cyclic maps
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Date
2026-04-18
Journal Title
Journal ISSN
Volume Title
Publisher
Flayoo Publishing House Ltd
Abstract
ABSTRACT
Condensed Kannan-type contraction has recently been introduced to investigate the properties of nonlinear operators in classical
metric spaces. However, certain classes of nonlinear operators cannot be adequately analyzed within this standard framework because
of its restrictive geometric structure. To address this limitation, this paper introduces a new class of mappings, namely qpb-cyclic
condensed Kannan-type contraction mappings, in the setting of quasi-partial b-metric spaces. The main aim is to employ this novel
approach to establish fixed point existence and uniqueness results under qpb-condensed Kannan-type contractive conditions. By
integrating cyclic mapping techniques with the generalized geometry of quasi-partial b-metric spaces, the proposed framework
extends and unifies several existing results in the literature. The effectiveness and applicability of the obtained results are further
illustrated with appropriate examples.