[PDF] Top 20 On ϕ-coincidence and common ϕ-fixed points in ordered metric spaces

... Theorem 1.2. [12] In addition to the hypothesis of Theorem 1.1, 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 (F(x ∗ ... See full document

... Then (X, d) is a complete b-metric space with the coefficient s = 2. Let us define S, T : X → X as Sx = 3x and T x = 4x for all x ∈ X . Then, the conditions (3.3) and (3.4) hold for α = β = 3 + 3k > s + (1 + ... See full document

... quadruple coincidence and common fixed point theorems for F : X 4 ® X and g : X ® X satisfying generalized contractions in partially ordered metric ... See full document

... Presented work extends and generalizes the work of Choudhury and Maity [] for a pair commuting mappings. We first prove the existence of coupled coincidence points and then, prove the existence and ... See full document

... By introducing the notion of f -contractiveness for set-valued mappings, Kaneko [] ob- tained a result which gives the existence of a coincidence point in a metric space. An im- proved version of Kaneko’s ... See full document

... then conclusions of both Theorems 1 and 2 remain valid. Thus, “ordered” versions of several generalized contraction theorems proved recently are obtained. In particular, the case of the set {d(gx, gy)} gives a ... See full document

... of points in X are (x, x) for x ∈ X and then the contractivity condition () reduces to d(fx, fx) = , and condition (iv) of Theorem ...two common fixed points (, –) and (, ), ... See full document

... If the condition (x) is fulfilled, put w = fz = gz. We will show that w is a common fixed point of f and g. Since fz = gz and f and g are weakly compatible, we obtain, by the defini- tion of weak compatibility, that ... See full document

... Edelstein’s fixed point theorem ...different spaces, like complete metric spaces endowed with a partial order, b-metric space (metric type pace) and obtained many fixed ... See full document

... which is a contradiction. This implies that f x = gy. So f x = hx = gy = ky. Moreover, if there is another point z such that f z = Sz, then, using inequality (2) it follows that f z = hz = gy = ky or f x = f z and w = f ... See full document

... the common fixed point problems for mappings with quasi-contractive type ...partially ordered cone metric spaces, but some authors in references discussed the same problems for ... See full document

... Metric fixed point theory plays an important role in mathematics and applied ...a metric space have been proposed by several ...-metric spaces, illustrated with appropriate ... See full document

... coupled coincidence point and a coupled common fixed point of mappings satisfying almost generalized (ψ , φ, θ )- contractive condition in the setup of partially ordered b-metric ... See full document

... obtain coincidence point and common fixed point theorems in complete ordered metric spaces for mappings satisfying a contractive condition which involves two generalized altering ... See full document

... In this paper, we introduce a new class which extends and unifies mappings satisfying the almost generalized contractive condition and establish the result on the existence of fixed points and common fixed ... See full document

... partially ordered metric ...that, common coupled fixed point results in fuzzy metric spaces were established by Hu [] and Hu et ...coupled coincidence point and fixed point ... See full document

... The main purpose of this paper is to obtain sufficient conditions for existence of points of coincidence and common fixed points for three self mappings in b-metric ... See full document

... partially ordered set and suppose that there exists a metric d on X such that the metric space (X, d) is ...a common fixed point in ... See full document

... partially ordered metric spaces, using the notion of compatible mappings, we establish the existence and uniqueness of coupled common fixed points involving a ( ϕ , ψ ... See full document

... It is known that the Banach’s contraction principle has a lot of generalizations and various applications in many directions, see, for examples, [2-12] and the references cited therein. Es- pecially, in 1962, Rakotch ... See full document