[PDF] Top 20 Common fixed-point results for nonlinear contractions in ordered partial metric spaces

... a partial metric space for which p is called the usual partial metric on ℝ - and where the self-distance for any point x Î ℝ - is its abso- lute ... See full document

... coupled common fixed point results for mixed monotone operators satisfying new nonlinear contractions in ordered G-metric ... See full document

... significant results of nonlinear analysis, which also became the origin of understanding iterative and dynamical ...a metric space, is said to be a contraction if there exists k ∈ [0, 1) such that ... See full document

... b-metric spaces was introduced and studied by Bakhtin [11] and Czer- wik ...of metric-like ...b-metric-like spaces. Since the b-metric-like space is a natural generalization of ... See full document

... and common tripled fixed points for some contractions in cone metric spaces, partially ordered met- ric spaces, fuzzy metric spaces, fuzzy normed spaces, ... See full document

... of fixed point in partially ordered sets has been considered recently in ...some fixed point theorems for a mixed mono- tone mapping in a metric space endowed with partial ... See full document

... fixed point results by applying the new concept of an α -series for sequence of mappings, introduced by Sihag et ...partially ordered metric ... See full document

... of partial metric which is a generalized metric space was introduced by Matthews 1 in 1994, in which the distance between two identical elements needs not be ...of fixed point for ... See full document

... elementary results in fixed point theory. Fixed point theory is a very useful tool in solving a variety of problems in control theory, economic theory, nonlinear analysis and global ... See full document

... fuzzy metric space [2] and George and Veeramani modified the concept in 1994 ...fuzzy metric space (X, M, N, ∗, ⋄), the topology generated by the intuitionistic fuzzy metric (M, N) coincides with ... See full document

... Theorem . (See []) In addition to the hypothesis of Theorem ., 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 ... See full document

... interesting results about the existence of a fixed point for single-valued and multi-valued operators in (ordered) b-metric spaces have been obtained (see, ... See full document

... () it extends Guo and Lakshmikantham’s coupled case, Berinde’s tripled case, Karapınar and Luong’s quadrupled case and Berzig and Samet’s multidimensional case. As we can easily see, the main result in [] (that the ... See full document

... partially ordered set X, Bhaskar and Lakshmikantham in 1 introduced the concept of coupled fixed point of a mapping F : X × X → ...coupled fixed point theorems in partially ... See full document

... partially ordered set and d be a complete metric on X ...fixed point results are obtained for mappings satisfying generalized contractions in a partially ordered metric ... See full document

... coupled fixed point theorems which has attracted the attention of many researchers ...prove results on coupled fixed ...coupled common fixed point theorems for these ... See full document

... of metric spaces has been generalized in many ...of fixed point results for single and multi-valued mappings by many authors have been obtained in (ordered) b-metric ... See full document

... In this paper, we obtain a unique common coupled fixed point theorem by using ( ψ , α , β )-contraction in ordered partial metric spaces. We give an application to integral ... See full document

... Later, this result has been generalized by many authors (see [15, 16, 17, 39, 40, 61, 60]). De- spite the fact that the existence of an approximate solution is ensured by best approximation theorems, a natural question ... See full document

... in nonlinear analysis and has many ...basic results and thus initiated a lot of work in this direction, for example refer [3,4,5,8,13,18-21,24-28,31,32] and the references in them ... See full document