[PDF] Top 20 Common Fixed Points for Generalized Weakly Contractive Mappings in G-Metric Spaces

... the points,” ...to generalized metric spaces,” Journal of Nonlinear and convex Analysis, ...for generalized metric spaces with applications to fixed point theory,” ... See full document

... of common fixed points of four maps satisfying generalized weak contractive conditions in the fra- mework of complete partial metric spaces endowed with a partial ... See full document

... of weakly contractive maps in Hilbert spaces, in: ...Shakeel, Weakly contractive maps and common fixed points, ...Bae, Fixed point theorems for weakly ... See full document

... unique common fixed points of mappings satisfying certain contractive condi- tions has been at the center of rigorous research ...[1] generalized the concept of a metric, ... See full document

... of common (E.A) property, we prove some common fixed point results for six self-mappings f , g , h, R, S and T , where the triple (f , g, h) is a generalized weakly ... See full document

... obtain common fixed points of contractive-type multivalued mappings on partial metric spaces which cannot be deduced from the corresponding results in metric ...for ... See full document

... Abstract In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction[r] ... See full document

... Now the right hand side of the above inequality approaches zero as 𝑛 → ∞. Hence ∥𝑑(𝑢, 𝑔𝑢)∥ = 0, and 𝑢 = 𝑔𝑢, which, from Theorem 2.1, implies that 𝑢 = 𝑓 𝑢. Theorem 2.5. Let (𝑋, 𝑑) be a complete cone metric space, ... See full document

... the mappings with quasi-contractive conditions, defined on a partially or- dered set with cone metric structure, to construct convergent sequences and prove that the limits of the constructed ... See full document

... [8] generalized the notion of metric space by replacing the set of real numbers by ordered Banach space and defined cone metric space and extended Banach type fixed point theorems for ... See full document

... f, g : X → X. The set of fixed points of f resp., g is denoted by Ff ...point common fixed point of f and g if fx gx x fx ...coincidence points of f and g is ... See full document

... complete metric space ...partial metric space). Let (X, d) be a metric space (or partial metric space), G : X × X → X, and let H : (X × X, ρ) → (X × X, ρ) be a mapping defined as in ... See full document

... unique common fixed point of f and ...of g being ...the contractive version of Theorem 2.1 in [17]. But in [17], ont only f and g are both surjective, but also f or g is ... See full document

... the fixed point theorems for generalized α-ψ-contractive mappings in the context of partial metric ...obtain fixed point theorems on partial metric spaces endowed ... See full document

... Corollary  Let (X, ) be a partially ordered set and suppose that there exists a b-metric d on X such that (X, d) is a b-complete b-metric space. Let f : X → X be a non-decreasing continuous mapping with ... See full document

... Remark 2.8. Corollary 2.7 generalizes Theorem 1 in 6. Also, if we choose the ϕ-mapping defined by ϕw kw, where k ∈ 0, 1 is a constant, then Theorem 2.3 generalizes Theorem 2.1 in 3. Furthermore, if we let g be the ... See full document

... D-metric spaces are ...the generalized metric space structure which they called G-metric ...on G-metric spaces and fixed point results, one can refer ... See full document

... the fixed point. Some of the extensions weaken right side of inequality in the condition (1) by replacing l with a mapping, see e.g. [2,3]. In other results, the underlying space is more general, see e.g [4-7]. ... See full document

... a generalized metric space where the triangle inequality of a metric space was replaced by an inequality involving three terms instead of ...any metric space is a generalized ... See full document

... Very recently, Isik and Turkoglu (Fixed Point Theory Appl. 2013:131, 2013) proved a common fixed point theorem in a rectangular metric space by using three auxiliary distance functions. In this paper, ... See full document