[PDF] Top 20 A note on common fixed points for (ψ,α,β)-weakly contractive mappings in generalized metric spaces

... rectangular metric space via two auxiliary ...a common fixed point result of two self-mappings in the setting of a rectangular metric space by using three auxiliary ... See full document

... that common fixed point theorems are generalizations of fixed point the- ...and common fixed point ..., α, β )-weak contraction principle to coincidence point and common fixed point results ... See full document

... some generalized (α, ψ )-contractive ...of generalized metric ...Hausdorff. Note that this statement has been observed first in ... See full document

... a metric d on X such that the metric space (X, d) is ...strictly weakly increasing mappings which satisfy (1) with respect to ≼ , for all compar- able elements x, y Î ...a common ... See full document

... In this section, we note that some existing fixed-point results in the context of G-metric spaces are consequences of our main theorems. For the sake of completeness, we recollect some basic ... See full document

... the fixed point theorems for generalized α-ψ-contractive mappings in the context of partial metric ...obtain fixed point theorems on partial metric ... See full document

... of 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

... Theorem  Let (X, ) be a partially ordered set and suppose that there exists a b-metric d on X such that (X, d) is a b-complete b-metric space. Let f : X → X be a non-decreasing continuous mapping with ... See full document

... cyclic weakly (ψ , ϕ, L, A, B)-contrac- tions and then derive fixed point and common fixed point theorems for these cyclic con- tractions in the setup of complete ordered b-metric ...ordered ... See full document

... since ψ is non-decreasing, every α-ψ -contractive mapping is a gen- eralized α-ψ -contractive mapping of types I and ...every generalized α-ψ ... See full document

... on contractive maps namely (α, ψ)−contractive mappings and established fixed point theorems in complete metric ...we note that (α, ... See full document

... Metric fixed point theory plays an important role in mathematics and applied ...a metric space have been proposed by several ...-metric spaces, illustrated with appropriate ... See full document

... compact metric space and f : X → X is a weakly contractive mapping see Section 2 for the definition, then f has a fixed point in X see 1, ...to α-condensing mappings acting on a ... See full document

... Vetro, Common fixed points of generalized contractions on partial metric spaces and an ...Khan, Fixed point results for modified weak and rational α − ... See full document

... a common solution of integral equations ...ordered generalized metric ...a common solution of integral equations in the framework of two generalized metric ... See full document

... is α ∗ -admissible. Now, we show that T is an α ∗ -ψ-contractive multifunc- tion, where ψ (t) = δt for all t ≥ ...that α ∗ (Tx, Ty) = . If  ≤ x, y ≤  δ , then α ∗ (Tx, ... See full document

... where α , β , γ are non negative real numbers with α + 2 β + 2 γ < 1 ...unique common point of ...are weakly compatible, then T m , T n and f have a unique common ... See full document

... of generalized weakly contractive mappings in metric spaces and prove a fixed point theorem for generalized weakly contractive mappings defined on ... See full document

... Lemma 2 Let ( X , d ) be a cone metric space, P be a cone. Let { } x n be a sequence in X and { } a n be a sequence in P converging to 0 . If d ( x n , x m ) ≤ a n for every n ∈ N with m > n , then { } x n is ... See full document

... cone metric space with a partial order and establish that this con- traction has necessarily a fixed point either under the continuity assumption or an order condition which we state ...the fixed ... See full document