Exploring fixed point results for condensed Kannan-type cyclic maps

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 qp_b-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 qp_b-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.