Fixed point theorems for weak contractions in the sense of Berinde on partial metric spaces

Generalized Geraghty type mappings on partial metric spaces and fixed point results

“…Later on, Abdeljawad et al [1], Acar et al [2,3], Altun et al [4][5][6][7], Karapinar and Erhan [15], Oltra and Valero [17] and Valero [23] gave some generalizations of the result of Matthews. Also,Ćirić et al [8], Samet et al [21] and Shatanawi et al [22] proved some common fixed point results in partial metric spaces.…”

Weak condition for generalized f-weakly Picard mappings on partial metric spaces

“…Afterward, Acar et al [1,2], Altun et al [4,5,7,8], Karapinar and Erhan [17], Oltra and Valero [21], Romaguera [22,23] and Valero [31], gave some generalizations of the result of Matthews. Also, Ciric et al [13], Samet et al [27] and Shatanawi et al [30] proved some common fixed point results in partial metric spaces.…”

A fixed point theorem for (φ,L )-weak contraction mappings on a partial metric space

“…Recall (see, e.g., [3]- [31]) that a partial metric on a nonempty set X is a function p : X × X → R + such that for all x, y, z ∈ X:…”

“…Also, Altun and Acar in [3] obtained that Kannan's and Chatterjea's mappings are (δ, L)-weak contractions on a partial metric space. Hence, they obtained some fixed point results such as Banach's, Kannan's, Chatterjea's, Zamfirescu's contraction-type theorems by using (ϕ, L)-weak contractions on a partial metric space.…”