[PDF] Top 20 Fixed Points for Triangular α−Admissible Geraghty Contraction Type Mappings in Partial b-Metric Spaces

... in fixed point theory is Banach contraction ...this contraction and proved the existence of fixed and common fixed point theorems (for example see [19]- ...introduced ... See full document

... which is a contradiction. Thus we deduce that gu = gv. Similarly, if α(v, u) ≥ , we can prove that gu = gv. Now, we show that T and g have a common fixed point. Indeed, if w = Tu = gu, owing to the weak ... See full document

... Vetro, Fixed point theorem for α-ψ contractive type mappings, Nonlinear ...contractive type mappings known as α-ψ contractive type ...existing fixed point ... See full document

... Banach-type fixed theorems of multivalued mappings started with the work of Nadler ...Hausdorff metric to establish the multivalued contraction principle containing the Banach ... See full document

... by Geraghty [] in the setting of complete metric spaces by considering an auxiliary ...of Geraghty in the context of a partially ordered complete metric space, and Caballero et ...of ... See full document

... of α-ψ-contractive ...generalized α-ψ contractive mappings, which was inspired by the notion of α-ψ-contractive ...such mappings and listed some of the consequences of their main ... 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 ... See full document

... of fixed points for mappings with contractive functions or expansive functions on 2-metric spaces, and give some new versions of the fixed point theorems on real metric ... See full document

... generalized α-admissible [] Meir-Keeler con- tractions and proved some fixed point theorems for these kinds of ...Meir-Keeler contraction has many generalizations in the area studied by some scholars ... See full document

... of contraction mappings in the sense of a multiplicative metric ...space. Fixed point results for these contraction mappings in multiplicative metric spaces are ... See full document

... of mappings which satisfy ‘condition ...fixed points for such mappings on complete metric ...four mappings) and proved some important results in ordered metric ... See full document

... a contraction in the sense of Samet et ...Euclidian metric on ...a contraction in the sense of Liu and Xu [4], and so, we can not apply these known results on the mapping T ... See full document

... the metric spaces are the so-called quasi-metric spaces in which the commutativity condition does not hold in ...G-metric spaces introduced by Mustafa and Sims [] and ... See full document

... introduce Geraghty-Berinde type contraction maps for a pair of maps in partial metric spaces and prove the existence of common fixed points in which the pair is ... See full document

... Banach contraction principle is a fundamental result in fixed point ...many fixed point results have been developed, see[1-5] and ...Banach contraction principle as ... See full document

... 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

... Banach’s contraction principle has a lot of generalizations and various applications in many directions, see, for examples, [2-12] and the references cited ...Banach’s contraction principle with replacing ... See full document

... ϕ(|p ∗ (T (x), T (y))|) ≤ ϕ(M(x, y)) − ψ(M(x, y )) for all x, y ∈ X. (3.1) If ϕ : [0, ∞) → [0, ∞) is a continuous and monotone non–decreasing function with ϕ(t) = 0 if and only if t = 0 and ψ : [0, ∞) → [0, ∞) is a lower ... See full document

... for partial metrics, we [, ] have obtained other extensions of Theorem ...a partial metric space (X, p) set r p := inf { p(x, y) : x, y ∈ X } = inf { p(x, x) : x ∈ X } and R p := { x ∈ X : p(x, ... See full document

... Banach’s contraction principle (see, for example, [–] and references ...introduced contraction map- pings and proved the following well known generalization of Banach’s fixed point ...complete ... See full document