[PDF] Top 20 SOME FIXED POINT THEOREMS IN PARTIAL METRIC SPACES

... Partial metric spaces were originally developed by ...a metric space; If (X, p) is a partial metric space, then p(x, x) is not necessary zero as x ∈ ...X. Partial ... See full document

... of partial metric space was introduced by Matthews [7] as a part of the study of denotational semantics of dataflow ...various fixed point theorems and obtained a lot of perfect ... See full document

... a partial metric and extended the Banach contraction principle in the context of partial metric ...Nadler’s fixed point theorem to partial metric spaces and ... See full document

... coincidence point of F and g, and therefore (gu, gu) is a coupled point of coincidence of F and g, and by its uniqueness, we get gu = ...fixed point of ... See full document

... fixed point and studied some nice coupled fixed point ...coincidence point of mappings. For some works on a coupled fixed point, we refer the reader to ... See full document

... a partial metric space which is a generalization of usual metric ...complete partial metric ...on partial metric spaces and obtained many useful fixed ... See full document

... b-metric spaces which is a generalization of the concept of quasi-partial-metric ...fixed point results are proved in setting of such spaces and some examples are given to ... See full document

... of metric spaces in the ...a partial metric space as a part of the study of denota- tional semantics of dataflow ...fixed point theorems were investigated in partial ... See full document

... cone metric spaces and ex- tended the Banach contraction principle to cone spaces over a normal solid ...fixed point results in (ordered) cone spaces (see ...cone metric ... See full document

... Banach spaces, W and D non empty sub- set of E and D ...decision spaces respectively). Some problems of dynamic programming implies the problem of solving the func- tional ... See full document

... Definition 1.1. [2] Let γ : A 2 → [0, ∞) satisfy the following terms for all a, b ∈ A and all distinct c, d ∈ A each of which is dissimilar to a and b. (1) γ (a, b) = 0 ⇔ a = b, (2) γ (a, b) = γ (b, a) , (3) γ (a, b) ≤ γ ... See full document

... The following common fixed point theorem was also proved by Azam, Fisher and Khan. This can be viewed as a generalization of the well-known Banach fixed point theorem. Theorem . ([]) Let (X, d) be a ... See full document

... of metric spaces that recovers a large class of topological spaces including standard metric spaces, b-metric spaces, dislocated metric spaces, and modular ... See full document

... Example 2.4. Let E R 2 , P {x, y ∈ R 2 : x, y ≥ 0} ⊆ R 2 , and X 0, 1. Define d : X×X → E with dx, y |x − y|, |x − y|. Then X, d is a complete cone metric space. Consider the mapping F : X × X → X with Fx, y x ... See full document

... of metric space, replacing the set of real num- bers by an ordered Banach space and obtained some fixed point theorems for mappings satisfy- ing different contractive ...2007, ... See full document

... of fixed points in partially ordered sets has been considered recently in 1, and some generalizations of the result of 1 are given in ...1 some applications to matrix equations are presented, in 3, 4 ... See full document

... Remark 1.12. The two maps f and g are said to be weaklycompatible if they satisfy condition 1.5. This concept was introduced by Huang and Zhang 3 and it is known to be the most general among all commutativity concepts in ... See full document

... fixed point theorems have been considered by many au- thors (see, ...fixed point theory of a cyclic mapping with certain properties in the context of metric-like ... See full document

... a partial metric space and obtained a generalization of Banach's fixed point theorem for partial metric ...gave some generalized versions of the fixed point ... See full document

... quadruple fixed point of R, T, S, g, f and ...quadruple fixed point in P ...quadruple fixed point (α 0 , β 0 , γ 0 , ω 0 ) of R, S, T, g, h, f ... See full document