Best proximity points for cyclic Kannan-Chatterjea- Ćirić type contractions on metric-like spaces

Abstract

In this paper, we establish some best proximity results for Kannan-Chatterjea-Ćirić type contractions in the setting of metric-like spaces. We also provide some concrete examples illustrating the obtained results.

Best Proximity Point Theorems for Two Weak Cyclic Contractions on Metric-Like Spaces

“…Ref. [15] Suppose that a mapping F : A ∪ B → A ∪ B is a Kannan type cyclic contraction, where A, B are nonempty, closed subsets of a metric-like space (X, σ) and k ∈ [0, 1 2 ). If we set p n+1 = Fp n for each n ∈ N ∪ {0}, for an arbitrary p 0 ∈ A, then…”

“…In 2016, Aydi and Felhi [15] established the following best proximity point result for the cyclić Cirić type contraction. Theorem 4.…”

Fixed point theorem for (α, β)-admissible mappings in metric-like space with respect to simulation function

“…Lemma 1.2. [2,10] Let (X, σ ) be a metric-like space. Let {x n } be a sequence in X such that x n → x where x ∈ X and σ (x, y) = 0.…”

Common Fixed Point Theorems for Generalized Geraghty (α,ψ,ϕ)-Quasi Contraction Type Mapping in Partially Ordered Metric-Like Spaces

“…This interesting subject has been mediated by certain authors, for example, see References [6][7][8]. In partial metric spaces and partially ordered metric-like spaces, the usual contractive condition is weakened and many researchers apply their results to problems of existence and uniqueness of solutions for some boundary value problems of differential and Integral equations, for example, see References [9][10][11][12][13][14][15][16][17][18][19][20][21][22] and the references therein.…”