Best proximity points of (EP)-operators with qualitative analysis and simulation

Common Best Proximity Point Results for T-GKT Cyclic ϕ-Contraction Mappings in Partial Metric Spaces with Some Applications

“…Consider the partial metric space (X, p) with X = R + and p(x, y) = max{x, y}, for all x, y ∈ X . For A = [2,4] and B = [0, 1], define S : A −→ B by S(x) =…”

“…Consider the partial metric space (X, p) with X = R + and the partial metric p(x, y) = max{x, y}. Let φ(x) = x 2 , A = [1,2], and B = [3,5]. The mappings S, T :…”

“…The origin of the concept of proximity theory goes back to the classical best approximation theorem introduced by Fan [3] in 1969. After that, many extensions of Fan's results were derived in different directions [2,4,5]. In 2011, Basha et al [6] showed the existence of common best proximity points in metric spaces.…”

“…Recently, in [1], Isik et al discussed the φ-best proximity point for (F, φ)-proximal contraction mappings demonstrating its application in a variational inequality. In [2], Usurelu et al discussed the best proximity point of (EP)-operators, presenting a qualitative analysis with solid computational numerical simulation. All such recent developments suggest the significant importance of the study of proximity point analysis in different spaces.…”

Best Proximity Point Theorem for α ̃–ψ ̃-Contractive Type Mapping in Fuzzy Normed Space

“…Furthermore, when the mapping in question is self-mapping, ℬ𝒫𝒫-theorem yields a fixed point result. References [14][15][16][17] and the references therein provide some results in this approach.…”