[PDF] Top 20 Fixed and coupled fixed points of a new type set-valued contractive mappings in complete metric spaces

... is convergent to the fixed point. Some of the extensions weaken the right side of the in- equality in the condition () by replacing k with a mapping; see, e.g., [–]. In other results, the underlying space is more ... See full document

... a new concept in set-valued mappings which we have called condition (U ...a new type of contractive set-valued mappings, recently has been introduced ... See full document

... Common fixed point theorems on expansion type mappings on complete metric spaces, Math.. A unified approach for all contractive mappings, Ist.[r] ... See full document

... a new fuzzy contraction via a new concept of the fuzzy sets called fw-distances initiated in the paper, which is a generalization of a fuzzy contractive mapping initiated in the article (Fuzzy Sets ... See full document

... We let (X,d) be a complete metric space and let B(X) be the set of all nonempty sub- sets of X. As in [1, 2], we define the function δ(A,B) with A and B in B(X) by δ(A,B) = sup{d(a,b) : a ∈ A,b ∈ B}. ... See full document

... Chen, Some new fixed point theorems for set-valued contractions in complete metric spaces, Fixed Point Theory Appl. Liu, Common fixed point theorems for sequences of Φ -type contraction [r] ... See full document

... complex valued metric spaces and obtained sufficient conditions for the existence of common fixed points of a pair of contractive type mappings involving rational ... 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 ... See full document

... of metric space by replacing the set of real numbers by ordered Banach space and defined cone metric space and extended Banach type fixed point theorems for contractive ... See full document

... Now the right hand side of the above inequality approaches zero as 𝑛 → ∞. Hence ∥𝑑(𝑢, 𝑔𝑢)∥ = 0, and 𝑢 = 𝑔𝑢, which, from Theorem 2.1, implies that 𝑢 = 𝑓 𝑢. Theorem 2.5. Let (𝑋, 𝑑) be a complete cone metric ... See full document

... of fixed points and convergence of iterates were proved. In 8 new proofs were presented but this time after applying only elementary ...CAT0 spaces in order to obtain such ...convex ... See full document

... on fixed points for contractive-type mappings was the well-known Banach-Caccioppoli theorem, published for the first time in 1922 in [1] (see also ...of complete metric ... See full document

... establish new fixed point results for multi-valued mappings satisfying an ( α , ψ , ξ )-contractive condition, and via Bianchini-Grandolfi gauge functions, on α -complete metric ... See full document

... of coupled fixed point for single-valued mappings and established some coupled fixed point results and found its application in the existence and uniqueness of solution for ... See full document

... single-valued contractive mappings and Hussain et al. [] for set-valued contractive mappings on complete determinacy met- ric ... See full document

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

... a new concept of contraction and prove a fixed point theorem which generalizes Banach contraction principle in a different way than in the known results from the ... See full document

... for set valued and multivalued contrac- tion mappings were carried out by Nadler [8] and Assad and Kirk ...similar type of combi- nation to extend the works of Ran and Reurings [12], Nieto and ... See full document

... Abstract In this paper, we obtain unique common fixed point theorems for two mappings satisfying the variable coefficient linear contraction of integral type and the implicit contraction[r] ... See full document

... a metric space have been proposed by Gahler 1, 2 and by Dhage 3, ...in metric spaces, while in 6the current authors have pointed out that Dhage’s notion of a D-metric space is fundamentally ... See full document