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Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces
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We introduce the concept of Jav‐distance (an analogue of b‐metric), ϕp‐proximal contraction, and ϕp‐proximal cyclic contraction for non‐self‐mappings in Hausdorff uniform spaces. We investigate the existence and uniqueness of best proximity points for these modified contractive mappings. The results obtained extended and generalised some fixed and best proximity points results in literature. Examples are given to validate the main results.
Title: Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces
Description:
We introduce the concept of Jav‐distance (an analogue of b‐metric), ϕp‐proximal contraction, and ϕp‐proximal cyclic contraction for non‐self‐mappings in Hausdorff uniform spaces.
We investigate the existence and uniqueness of best proximity points for these modified contractive mappings.
The results obtained extended and generalised some fixed and best proximity points results in literature.
Examples are given to validate the main results.
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