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Browsing by Author "Salaudeen Alaro Musa a,, ∗Musiliudeen Adisa Anise a, Olalekan Taofeek Wahab a, Saheed Kunle Ajibade"

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    Exploring fixed point results for condensed Kannan-type cyclic maps
    (Flayoo Publishing House Ltd, 2026-04-18) Salaudeen Alaro Musa a,, ∗Musiliudeen Adisa Anise a, Olalekan Taofeek Wahab a, Saheed Kunle Ajibade
    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.

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