Best proximity point results in generalized metric spaces

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Authors

Saleem, Naeem
Abbas, Mujahid
Farooq, Sadia

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Publisher

Mathematical Association of Thailand

Abstract

In this paper we define a new class of mappings called (θ, α+)- proximal admissible contractions and obtain a unique best proximity point for such mappings in the setting of complete generalized metric space. Our result is an extension of comparable results in the existing literature. Some examples are presented to support the results proved herein

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Keywords

Generalized metric space, Proximal + admissible, Best proximity point, (θ, α+)−proximal admissible contraction

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Citation

Saleem, N., Abbas, M., Farooq, S. 2022, 'Best proximity point results in generalized metric spaces', Thai Journal of Mathematics, vol. 20, no. 2, pp. 589-603.