[PDF] Top 20 Weakly isotone increasing mappings and endpoints in partially ordered metric spaces

... The development of a geometric fixed point theory for multifunctions was initiated by Nadler [] in . He used the concept of a Hausdorff metric H to establish the multival- ued contraction principle containing ... See full document

... complete metric space, let ϕ : X → (–∞, +∞) be a functional, let η : [, +∞) → [, +∞) be a nondecreasing function with η – ({}) = {}, and let be a partial order on X such that () and () are ... See full document

... a partially ordered set and suppose that there exists a metric d on X such that the metric space (X, d) is ...strictly weakly increasing mappings which satisfy (1) with ... See full document

... contractive-type mappings in partially ordered metric spaces, (ordered) cone metric spaces, fuzzy metric spaces and other spaces with ... See full document

... In this article, we prove existence results for common fixed points of two or three relatively asymptotically regular mappings satisfying the orbital continuity of one of the involved maps on ordered ... See full document

... in partially ordered complete metric spaces for a pair of weakly contractive compatible mappings whenever n is even, wherein control functions are also ... See full document

... where ψ , ϕ : [, ∞ ) → [, ∞ ) are altering distance functions. Then the pairs (f , T), (g, R) and (h, S) have a coincidence point z ∗ in X provided that the pairs (f , T ), (g, R) and (h, S) are weakly ... See full document

... in partially ordered metric spaces was first investigated in  by Guo and Lakshmikantham ...in partially ordered metric ... See full document

... multivalued mappings satisfying comparatively a more general contractive condition in ordered complete metric ...T-weakly isotone increasing multivalued mappings in the ... See full document

... and weakly compatible mappings on Menger probabilistic metric ...between mappings and some existence and uniqueness fixed points theorems for nonlinear mappings defined on ... See full document

... two weakly increasing mappings need not be ...two weakly increasing operators in partially ordered metric spaces using implicit relation ... See full document

... a partially ordered set such that there exist a complete partial metric p on X, U be an open subset of X and V be a closed subset of X with U ⊂ ... See full document

... contractive mappings and mappings satisfying other weak contractive inequali- ties have been discussed in several works, some of which are noted in ...Hilbert spaces [] was also valid in complete ... See full document

... for isotone mappings are easier than that of mixed monotone ...k-variable isotone mapping, which include the unidimensional, coupled, tripled, and k-dimensional fixed point theorems as particular ... See full document

... 0-complete ordered partial metric space under Hardy-Rogers-type contractive ...standard metric cannot. The second theorem is concerned with two weakly isotone increasing ... See full document

... G-isotone mappings in partially ordered metric spaces, which include the corresponding coupled, tripled and quadruple fixed-point theorems as special ... See full document

... Theorem  (Wang [, Corollary .]) Let (X, ) be a partially ordered set and suppose that there is a metric d on X such that (X, d) is a complete metric space. Let T : X → X be a nondecreasing ... See full document

... The goal of this paper is to establish a common random fixed point results in partially ordered complete separable metric spaces for weakly increasing self mappings sat[r] ... See full document

... complete metric space, α : X × X → [, ∞) be a func- tion, ψ ∈ and T be a self-map on X such that α(x, y)d(Tx, Ty) ≤ ψ(m(x, y)) for all x, y ∈ X, where m(x, y) = max {d(x, y), d(x, Tx), d(y, Ty),   [d(x, Ty) + ... See full document

... Based on Lemma 1 and Theorem 1 above, we are now in a position to formulate the following new statements and facts as direct consequences of the Axiom of Infinite Choice. Corollary 1 (Tasković [4, p. 244]) Let P := (P, ) ... See full document