[PDF] Top 20 Coupled Fixed Point Theorems for Nonlinear Contractions in Partial Metric Spaces

... Theorem 2.4. Let X, ≤ be a partially ordered set having the property that for every x, y, z, t ∈ X × X , there exists a u, v in X ×X such that u ≤ x, z and v ≤ y, t and suppose that there is a partial ... See full document

... of coupled fixed point and studied some nice coupled fixed point ...a coupled coincidence point of mappings. For some works on a coupled fixed point, we refer the ... See full document

... interesting fixed point theorem for a weak contraction which is a partial answer of Problem 9 in Reich 13 see also 14–16 and references ...complete metric space and T a map from X into ... See full document

... b-metric spaces was introduced by Czerwik [3] as a generalization of metric ...The partial metric space was introduced by Matthews [8] in ...and partial-metric ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear Analysis: Theory, Methods & Applications, ...“Coupled fixed point ... See full document

... (G4) g(x, y, z) = g(x, z, y) = g(y, z, x) = · · · , (symmetry in all three variables); (G5) g(x, y, z) ≤ g(x, a, a) + g(a, y, z), for all x, y, z, a ∈ X (rectangle inequality). Then the function g is called a ... See full document

... some coupled fixed point theorems and applied these to study the existence and uniqueness of solution for periodic boundary value ...proved coupled coincidence and common coupled ... See full document

... Later on, Lakshmikantham and Ciríc [8] proved coupled coincidence and coupled common fixed point theorems for nonlinear contractive mappings in partially ordered complete metric spaces..[r] ... See full document

... Lakshmikantham’s coupled case, Berinde’s tripled case, Karapınar and Luong’s quadrupled case and Berzig and Samet’s multidimensional ...fixed point results can be reduced to the unidimensional ... See full document

... and fixed point theory ...generalized metric spaces, such as b-metric spaces, partial metric spaces(see ...and partial metric space and ... See full document

... some coupled fixed point theorems which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...a coupled fixed point theorem for ... See full document

... dualistic partial metric spaces and establish some fixed point theorems for weak contraction mappings of rational type defined on dualistic partial metric ... See full document

... a partial metric space and obtained a generalization of Banach's fixed point theorem for partial metric ...the fixed point theorem of Matthews ...of partial ... See full document

... quasi metric space (where the condition of symmetry in dropped) and then Kelly [30] developed the concept of a quasi metric ...quasi metric spaces, see [23, 33, 38]. Many fixed ... See full document

... Common coupled …xed point theorems for nonlinear contractive condition on intuitionistic fuzzy metric spaces with application to integral equations, Journal of the Korean Society ... See full document

... n-fixed point and n-coincidence point and prove some related theorems for nonlinear contractive mappings in partially ordered complete metric ... See full document

... proximity point represents an optimal approximate solution to the equation T x = x whenever a non-self-mapping T has no fixed ...a fixed point coincides with a best proximity point if ... See full document

... As an immediate consequence of the above theorem, by taking φ(t) = t, we have: Corollary . Let (X, ) be a partially ordered set and suppose there is a partial metric p on X such that (X, d) is a complete ... See full document

... some fixed and common fixed point theorems for g-non-decreasing generalized nonlinear contractions in partially ordered complete metric spaces are ...Presented ... See full document

... In [22] Luong and Thuan proved the following coupled fixed point theorem. Theorem 19. Let (X, d, ≤) be a partially ordered complete metric space. Let F : X × X → X be a mapping with the mixed ... See full document