[PDF] Top 20 Fixed points of mappings with a contractive iterate at a point in partial metric spaces

... Partial metric spaces were introduced in [] by Matthews as part of the study of deno- tational semantics of dataflow networks and served as a device to solve some difficulties in domain theory of ... See full document

... common fixed points of contractive-type multivalued mappings on partial metric spaces which cannot be deduced from the corresponding results in metric ...for ... See full document

... a partial metric space and obtained a Banach-type fixed point theorem on complete partial metric ...fixed point theorems of single-valued mappings in partial ... See full document

... As a generalization of the Banach contraction mapping principle, Kirk-Srinivasan-Veeramani devel- oped the cyclic contraction. A contraction T : A ∪ B → A ∪ B on non-empty sets A, B is called cyclic if T (A) ⊂ B and T ... See full document

... common fixed points of four maps satisfying generalized weak contractive conditions in the fra- mework of complete partial metric spaces endowed with a partial ... See full document

... a partial metric space as a part of the study of deno- tational semantics of dataflow ...the partial metric context for applications in program ver- ...fixed point theorems in ... See full document

... Metric spaces are playing an increasing role in mathematics and the applied ...of fixed point theory in metric spaces has attracted considerable attention due to numerous ... See full document

... By taking ϕ = ψ in Theorems .-., respectively, we have the following results. Corollary . Let (X, ) be a partially ordered set and suppose that there exists a partial metric p on X such that (X, p) is ... See full document

... Definition . (X, G) is symmetric G-metric space if G(x, y, y) = G(y, x, x) for all x, y ∈ X. Fixed point theorems in symmetric G-metric space are mostly consequences of the re- lated fixed ... See full document

... The contractive conditions on underlying functions play an important role for finding solutions of metric fixed point ...various spaces such as quasi-metric spaces, cone ... See full document

... Aydi, “Fixed point theorems for generalized weakly contractive condition in ordered partial metric spaces,” Journal of Nonlinear Analysis and Optimization: Theory and Applications, vol..[r] ... See full document

... Since 2q need not be less then 1 we can use metric fixed point results only for q < 1/2. On the other side, using the concept of G-metric space, we are going to prove the result, if the ... See full document

... - metric space. In 1994, Matthews [20] introduced the concept of partial metric space in which the self distance of any point of space may not be ...of partial metric space by ... See full document

... By assumption, (X , d) is bicomplete, hence (X , d s ) is complete. Moreover, since E and RE are join closed, we conclude by Theorem 2.14 that T, R and S have a unique common fixed point. Theorem 3.3. Let ... See full document

... It is well known that the Banach contraction principle is a fundamental result in fixed point theory. After this classical result, many fixed point results have been developed, see[1-5] and ... See full document

... A fixed point theorem for mappings satisfying a contractive condition of rational type on a partially orderedmetric space, Abstract and Applied Analysis, 2010 (2010), Article ID ...unique ... See full document

... new fixed point theorem concerning F-con- ...concrete mappings F, we obtain the contractions of the type known from the literature, Banach contraction as ... See full document

... cone metric spaces CMSs by replacing real numbers with an ordering Banach ...cone metric spaces but not contraction if considered over metric spaces and hence, by proving a ... See full document

... of fixed point theory have executed by several ...a metric space. One such generalization is a b-metric space initiated by Bakhtin[5] and Czerwik ...cone metric spaces as a gen- ... See full document

... it implies that D(u, v) =  and so u = v, this means that T has a unique fixed point. In Theorem ., taking ϕ(t) = t s – λt with  < λ <  s , we can get the following corollary. Corollary . Let (X, D) be ... See full document