[PDF] Top 20 Fixed Point and Common Fixed Point Theorems for α-Property in Cone Ball-Metric Spaces

... For given a cone P ⊂ E, we can define a partial ordering with respect to P by x 4 y or x < y if and only if y − x ∈ P for all x, y ∈ E. The real Banach space E equipped with the partial ordered induced by P is ... See full document

... given cone , we defin e a Partial ordering ≤ on with respect to if and only if we shall write if , int P denotes the interior of ...The cone P is called regular if every increasing sequence which is bounded ... See full document

... Random fixed point theorem for contraction mappings in polish spaces and random fixed point theorems are of fundamental importance in probabilistic functional ...of common ... See full document

... of common multipled fixed points of w-compatible nonlinear contractive maps in cone metric spaces, which are generalizations of common coupled fixed points, is ...product cone ... See full document

... Jungck, Common fixed point results for non commuting mappings without continuity in cone metric space, J. Hamlbarani, Some notes on the paper “Cone metric spaces and fixed point theorems [r] ... See full document

... mon fixed point theorems for three mappings with a new type of contractive conditions in cone metric ...in cone metric ... See full document

... d( f x, f y) αd(x, y) + β [d(x, f x) + d(y, f y)] + γ [d(x, f y) + d(y, f x)] (3.3) for all x, y ∈ X , where α , β , γ ≥ 0 and α + 2β + 2γ < 1. Then f has a unique fixed point in X . Proof. ... See full document

... several fixed point theorems on cone metric spaces in which the cone does not need to be ...These theorems generalize the recent results of Huang and Zhang 2007, ... See full document

... various common fixed-point results for pairs of self-mappings under strict contractive conditions in metric ...of cone metric spaces, fixed point results are ... See full document

... Euclidean metric d. Let α,β,γ,θ be the selfmaps on M defined by α(1) = α(3) = 1, α(5) = 3, α(7) = 5, and β(1) = β(3) = β(5) = 1, β(7) = 3, and γ(1) = γ(3) = 1, γ(5) = γ(7) = 3, ... See full document

... The main difference between contraction and Kannan mappings is that contractions are always continuous, whereas Kannan mappings are not necessarily continuous. Another type of contractive condition, due to Chatterjea ... See full document

... unique fixed point in X ...the fixed point theory, from the last few decades this theory is a central topic of ...the common fixed point ...the common fixed ... See full document

... and common fixed point theorems are obtained for four mappings, which are assumed to satisfy certain weak inequalities, in the framework of cone metric ...corresponding ... See full document

... If n → ∞,then we have d(gx n , f u) → θ , Also, d(gx n , gu) → θ as n → ∞. The uniqueness of a limit in a cone metric type space implies that f u = gu = v . Now we show that f and g have a unique ... See full document

... Theorem 3.4. Let (X, ≤) be a partially ordered set and suppose that there is a G-metric on X such that (X , G) is a complete G-metric space. Let F : X × X → X and g: X → X be two mappings such that F has ... See full document

... of common fixed pint of mapping satisfying certain contractive conditions has been taken a important role in resent research ...a common fixed point theorem for commuting mappings, ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...fuzzy metric spaces which are very similar to ... See full document

... , Common fixed point theorems for weakly compatible pairs on cone metric spaces, Fixed point theory ...Vetro, Common fixed points in ... See full document

... concerning fixed points and other results, in the case of cone metric spaces with non-normal solid cones, cannot be proved by reducing to metric spaces, because in this case ... See full document

... given cone P ⊆ E, we define a partial ordering with respect to P by x y if and only if y – x ∈ P; x ≺ y will stand for x y and x = y, while x y will stand for y – x ∈ int P, where int P denotes the interior of ... See full document