[PDF] Top 20 Fixed point theorems on generalized $c$-distance in ordered cone $b$-metric spaces

... partially ordered set and suppose that (X, d) is a complete cone metric space and P is a normal cone with normal constant K ...a c-distance on X and f : X → X be a continuous and ... See full document

... of c-distance in cone metric spaces which is a cone version of w-distance of Kada et ...some fixed point theorems by us- ing c-distance ... See full document

... a cone P be defined by P = {f Î E : f(t) ≥ 0 for t Î [0, 1]}. This cone is normal in the Banach-space topology on ...the cone P is not normal in the topology τ ...normal cone, then the ... See full document

... In this paper, we extend the very recent result of Sintunavarat et al. in the paper ‘Coupled fixed point theorems for weak contraction mapping under F-invariant set’ (Abstr. Appl. Anal. 2012:324874, 2012). ... See full document

... of generalized metric spaces, Mustafa and Sim (6,7) introduced the concept of G- metric ...several fixed point theorems satisfying different contractive ...of cone ... See full document

... almost generalized C-contractive mappings in an ordered metric space via the altering distance functions and the functions having property (P), and to prove some fixed point and ... See full document

... There are a lot of generalizations of the Banach contraction mapping principle in the literature. One of the most interesting of them is the result of Khan et al. 1. They addressed a new category of fixed ... See full document

... a cone metric ...Hausdorff distance on ( . for ( ( max { ( ( } where ( { ( } is the distance from the point a to the sub set ...a fixed point of a multivalued mapping , if ... See full document

... some fixed point theorems in com- plete metric spaces (see [1, 20, 21, ...the c-distance in a cone metric space, which is a cone version of the ... See full document

... Recently, Nieto and Rodriguez-Lopez [1,2], Ran and Reurins [3], Petrusel and Rus [4] presented some new results in partially ordered metric spaces. Their main idea was to combine the ideas of ... See full document

... In this paper, we investigate the existence and uniqueness of a coupled coinci- dence point of the Meir-Keeler type contraction mappings in the context of partially ordered metric spaces. Our ... See full document

... a metric space and ρ(x, y) = (d(x, y)) p , where p ≥ 1 is a real ...a b-metric with s = 2 p−1 ...Euclidean metric, then ρ(x, y) = (x − y) 2 is a b-metric on R with s = 2, but it ... See full document

... the b-metric-like d(x, y) = (x + y) 2 for all x, y ∈ X , where b = ...altering distance functions ψ, ϕ : [0, +∞) by ψ (t ) = qt and ϕ(t) = (q − 1)t, where 1 ≤ q ≤ 36 16 ... See full document

... of generalized Meir-Keeler type ψ-contractions and prove some coupled common fixed point results for such type of ...The theorems proved herein extend, generalize and improve some results of ... See full document

... M. Asadi et al. [4] tried to prove that each cone in a Banach space can, by re- norming of the space, become normal with the normal constant equal to 1 (such cones are usually called monotone). We will show in ... See full document

... Then T is not a Meir-Keeler contraction. Next, we are going to show that T is an R- contraction. To prove it, let A = ran(d) ⊂ [, ∞ ) be the range of the metric d. As X is numerable, then A = d(X × X) is also a ... See full document

... of fixed points of mappings satisfying certain contractive conditions has been at the center of rigorous research activity; see, ...usual metric spaces and it is introduced by Dhage [13] and ... See full document

... many fixed point theorems for contraction mappings in partially or- dered probabilistic metric ...on fixed point theory in partially ordered probabilistic metric ... See full document

... partially ordered set and (X, G) be a G-metric space such that (X, G) is ...a, b, c, u, v, w Î X, with gx ≥ ga ≥ gu, gy ≤ gb ≤ gv and gz ≥ gc ≥ gw, we ... See full document

... coincidence point results for various classes of mappings in a metric ...of cone metric space, where the set of real numbers is replaced by an ordered Banach space, and they have ... See full document