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Browsing by Author "Yalcin, Ceylan"

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    A Fixed Point Theorem for Ciric Type Contraction on Interpolative Metric Spaces
    (Yokohama Publ, 2024) Bilazeroglu, Seyma; Yalcin, Ceylan; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    The purpose of this paper is is aimed at establishing a fixed point result in the framework of interpolative metric spaces, which has just been designated as a new research topic to prevent congestion in fixed point theory.
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    Α-Ψ Contracting Perimeters of Triangles
    (Yokohama Publ, 2025) Shahi, Priya; Bilazeroglu, Seyma; Yalcin, Ceylan; 02.02. Matematik; 02. Fen-Edebiyat Fakültesi; 01. Çankaya Üniversitesi
    This work presents an advanced development of the newly established idea of "contracting perimeters of triangles". Our current strategy, constructed with the help of functions alpha and Psi, both covers existing research and yields new results. The "alpha-Psi-mapping contracting perimeters of triangles" concept is defined in this study. The differences between this concept and the contracting perimeters of triangles is illustrated with examples. Fixed point theorems are obtained for this type of mappings under some conditions.