<p>In order to study the existence of best proximity points of a <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="13663_2025_788_Article_IEq1.gif" Format="GIF" Height="19" Rendition="HTML" Resolution="72" Type="Linedraw" Width="26" /> </InlineMediaObject> <EquationSource Format="MATHML"><math> <mrow> <mo>(</mo> <mi>T</mi> <mo>)</mo> </mrow> </math></EquationSource> <EquationSource Format="TEX">$\left ( T\right ) $</EquationSource> </InlineEquation> condition satisfying mapping, we introduce a new interesting notion of triangular projection in geodesic metric spaces. Using the famous Schauder fixed point theorem, we obtain a best proximity point result for such mappings.</p>

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Tricyclic mappings: revisited

  • Sabar Taoufik

摘要

In order to study the existence of best proximity points of a ( T ) $\left ( T\right ) $ condition satisfying mapping, we introduce a new interesting notion of triangular projection in geodesic metric spaces. Using the famous Schauder fixed point theorem, we obtain a best proximity point result for such mappings.