FIXED POINT THEOREMS OF CONDENSED KANNAN-TYPE CONTRACTION IN G-METRIC SPACES

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dc.contributor.authorWahab, Olalekan Taofeek
dc.contributor.authorMusa, Salaudeen Alaro
dc.contributor.authorUsman, Abdulazeez Adebayo
dc.contributor.authorJohn, Dunama
dc.contributor.authorMohammed, Ghazali Nasirudeen
dc.date.accessioned2025-12-21T20:38:55Z
dc.date.available2025-12-21T20:38:55Z
dc.date.issued2025-06-30
dc.description.abstractIn this paper, we introduce the notion of condensed Kannan-type contraction in G-metric spaces. We establish and prove some fixed point theorems of operators satisfying the condensed Kannan-type map. To evaluate the efficacy of this condition, we de fine a new criterion, called the alpha-measure, in G-metric spaces to seamlessly assess the effectiveness and dynamicity of the condensed map. We consider some practical examples to validate and demonstrate the dominance of the condensed map over some existing Kannan-type maps in G-metric spaces. The results obtained ensure suitability for solving unique and non-unique fixed points and suggest a framework for selecting an appropriate real constant alpha in (0; 1) for studying nonlinear operators.
dc.description.sponsorshipNil
dc.identifier.issn1229-1595
dc.identifier.urihttps://kwasuspace.kwasu.edu.ng/handle/123456789/6484
dc.language.isoen
dc.titleFIXED POINT THEOREMS OF CONDENSED KANNAN-TYPE CONTRACTION IN G-METRIC SPACES
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