• Korean Journal of Mathematics
• /
• 제31권3호
• /
• pp.373-383
• /
• 2023

The aim of this paper is to prove some new approximate best proximity pair theorems on metric spaces using contraction mappings such as P-Bianchini contraction, P - B contraction and so on. A few examples are provided to exemplify our findings. Finally, we discuss some applications that are related to the main results.

• Journal of the Korean Society for Industrial and Applied Mathematics
• /
• 제27권3호
• /
• pp.160-179
• /
• 2023

In this paper, we investigate the existence and diameter of the approximate fixed point results on E-metric spaces (not necessarily complete) by using various cyclic contraction mappings, including the B-cyclic contraction, the Bianchini cyclic contraction, the Hardy-Rogers cyclic contraction, and so on. Additionally, we prove the approximate fixed point results for rational type cyclic contraction mappings, which were discussed mainly in [35] and [37], in the setting of E-metric space. Also, a few examples are provided to demonstrate our findings. Subsequently, we discuss some applications of approximate fixed point results in the field of applied mathematics rigorously.