[PDF] Top 20 Fixed point theorems for weak S-contractions in partially ordered 2-metric spaces

... Banach’s contraction theorem is one of the significant results of nonlinear analysis, which also became the origin of understanding iterative and dynamical processes. Some methods, such as Picard and Newton iterative ... See full document

... a metric such as a -metric, a D-metric, a G-metric, a cone metric, and a complex-valued ...ordinary metric is. This led Dhage to introduce the notion of a D-metric in ... See full document

... coupled fixed point results of Mizoguchi and Takahashi’s type in partially quasiordered metric ...Takahashi’s fixed point Theorem considered by Amini-Harandi and O’ Regan in ... See full document

... coupled fixed point and common fixed point theorems and their applications to periodic boundary value problems and integral equations were given in ...some fixed point ... See full document

... () it extends Guo and Lakshmikantham’s coupled case, Berinde’s tripled case, Karapınar and Luong’s quadrupled case and Berzig and Samet’s multidimensional case. As we can easily see, the main result in [] (that the ... See full document

... “Fixed point theorems for weakly contractive mappings in partially ordered sets,” Nonlinear ...“Fixed point theorems on ordered metric spaces ... See full document

... coupled fixed point in partially ordered metric spaces,also discussed some problems of the uniqueness of a coupled fixed point and applied their results to the ... See full document

... separable metric space, random fixed point theorems for contraction mappings were proved by Han˘s [, ], Han˘s and ˘Spa˘cek [] and Mukherjee [, ...fixed point theorems ... See full document

... analysis. Weak contractions are generalizations of Banach’s contraction mapping studied by sev- eral ...of weak contractions in complete metric spaces ...fixed point for ... See full document

... coupled fixed point, and proved some coupled fixed point theorems for single valued mixed monotone ...coupled fixed point theorems in partially ... See full document

... of ordered sets were discussed by Wolk [] and Mon- jardet ...in partially ordered metric spaces was considered by Ran and Reurings ...on partially ordered metric ... See full document

... Theorem 2.1. Let (𝑋, ⪯) be a partially ordered set and suppose there is a metric 𝑑 on 𝑋 such that (𝑋, 𝑑) is a complete metric space. Let 𝐹 : 𝑋 × 𝑋 → 𝑋 be a mapping having the mixed monotone ... See full document

... fixed point theorems for contractions in partially ordered metric ...to ordered partial metric ...in ordered partial metric spaces without the ... See full document

... cone metric space was introduced by Haung and Zhang [8], replacing the set of real numbers by an ordered Banach ...considered fixed point theory in cone metric ...Several fixed ... See full document

... Remark 2.6. We observe that, unlike partial metric case, if p ∗ is a dualistic partial metric then p ∗ (x, y) = 0 does not imply x = y. The self distance p ∗ (x, x) referred to as the size or weight of x, ... See full document

... Theorem 2.1 . Let (X, ≤ ) be a partially ordered set and suppose there is a metric d on X such that (X, d) is a complete metric space. Assume there is a function : [0, + ∞ ) ® [0, + ∞ ) such ... See full document

... of weak contrac- tions in Hilbert spaces and proved the corresponding fixed point ...various fixed point and common fixed point ... See full document

... Theorem . (See []) In addition to the hypothesis of Theorem ., suppose that for every (x, y), (x ∗ , y ∗ ) ∈ X × X, there exists (u, v) ∈ X × X such that (F(u, v), F(v, u)) is comparable to (F(x, y), F(y, x)) and ... See full document

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

... proximity point in the setting of partially ordered metric space in ([4, 38, 49, ...coupled fixed point theorems for mappings satisfying the mixed monotone property, which ... See full document