Browsing by Author "Garba Risqot Ibrahim"

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    Condensed Kannan-Type Maps and Their Efficiency Measures in Complete Metric Spaces
    (Kyungpook Mathematical Journal, 2025) Olalekan Taofeek Wahab; Garba Risqot Ibrahim; Salaudeen Alaro Musa
    Recently, some studies introduced interpolative Kannan-type maps for solving non-unique fixed-point problems. However, these studies do not offer a technique for determining the fractional powers of the maps, which would be useful in approximating the fixed points. This study uses two symmetry terms of the conventional Kannan contraction to define a novel condensed Kannan-type contraction in complete metric spaces. By imposing the condensed map on the Picard operator, we prove the existence of unique and non-unique fixed points. We also define a criterion for selecting an appropriate real constant α suitable for approximating the fixed points of the condensed map. We consider two practical and numerical examples to show both the versatility and validity of the hypotheses of this study. These results show that the class of condensed maps is strictly larger than the existing class Kannan-type maps, ensure suitability for solving both unique and non-unique fixed points, and do so with a better convergence rate.