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We introduce a type of Geraghty contractions in a  J S -metric space  X , called  α , D -proximal generalized Geraghty mappings. By using the triangular- α , D -proximal admissible property, we obtain the existence and uniqueness theorem of best proximity coincidence points for these mappings together with some corollaries and illustrative examples. As an application, we give a best proximity coincidence point result in  X endowed with a binary relation.

journal of function spaces

Best Proximity Coincidence Point Results for<math xmlns="http://www.w3.org/1998/Math/MathML" id="M1"><mfenced open="(" close=")"><mrow><mi>α</mi><mo>,</mo><mi>D</mi></mrow></mfenced></math>-Proximal Generalized Geraghty Mappings in<math xmlns="http://www.w3.org/1998/Math/MathML" id="M2"><mi>J</mi><mi>S</mi></math>-Metric Spaces

Best Proximity Coincidence Point Results forα,D-Proximal Generalized Geraghty Mappings inJS-Metric Spaces

Best Proximity Coincidence Point Results for $(α, D)$ -Proximal Generalized Geraghty Mappings in $J S$ -Metric Spaces