[PDF] Top 20 Some new fixed point theorems for α-Geraghty contraction type maps in metric spaces

... and α : X × X → R, α(x, y) =  if xy ≥  and α(x, y) =  ...complete metric space. If α(x, Tx) ≥ , then xTx ≥ , so Tx = , which implies α(Tx, T  x) ≥ ...an α-orbital ... See full document

... Fixed point theory is a vital and genuine theme of nonlinear ...the contraction mapping principle substantiated doctoral thesis of Banach [12] is one of the most prominent theorems in ... See full document

... particular, Geraghty [] obtained a generalization of the Banach contraction principle in the setting of complete metric spaces by considering an auxiliary ...of Geraghty in the context ... 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

... The fixed point theory is one of the most rapidly growing topic of nonlinear functional anal- ...finding fixed points of a given nonlinear mapping on an infinite dimensional function space into ... See full document

... modular metric space and a generalized metric space in the sense of Jleli and Samet [6], we introduce a new concept of generalized modular metric ...Banach contraction principle (BCP) ... See full document

... A new space called the complex-valued metric space which is more general form than metric spaces has been introduced by Azam ...of fixed point theorems for maps ... See full document

... modular metric space, being a natural generalization of classical modulars over linear spaces, was recently ...modular metric space and investigate the existence of fixed points for such ...derive ... See full document

... introduce new concepts of generalized contractive and generalized α-Suzuki type contractive ...fixed point of these classes of mappings on complete metric spaces and b-complete ... See full document

... partial metric, later Oltra and Valero [20] proved Banach fixed point theorem on complete dualistic partial metric ...a fixed point theorem using a nonlinear contractive ... See full document

... and Karapinar,E.(2013).Fixed point theorems for α -Geraghaty contraction type maps in metric spaces, Fixed point theory. Source of support: Nil, Conflict of interest: None Declared[r] ... See full document

... Banach contraction principle on Bipolar metric spaces, which has been done by Mutlu and Gürdal ...investigated some fixed point and coupled fixed point results on ... 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 ... See full document

... b−metric spaces [7] and Partial metric spaces [21] are two well known generalizations of usual metric ...Banach contraction principle is a fundamental result in the fixed ... See full document

... Remark 2.4. Note that Theorem 2.3 does not follow from Theorem 3.3 of Bae 5 by replacing the metric d by ψd. In Theorem 2.3, we assume T is metrically inward with respect to d but to apply Theorem 3.3 of 5 with ψd ... See full document

... fixed point results on partially ordered sets in [], where they gave many useful results in matrix ...complete metric spaces endowed with a partial order and obtained many fixed point results ... See full document

... From now on, we suppose that E is a real Banach space, P is a cone in E with int P / ∅, and ≤ is partial ordering with respect to P . Let X be a nonempty set. As it has been defined in 1, a function d : X × X → E is ... See full document

... Following Grabiec’s approach to fuzzy contraction principle, the purpose of this note is to obtain common fixed point theorems for asymptotically commuting maps on fuzzy metric spaces...[r] ... See full document

... Banach contraction principle as ...complete metric space and let T : X → X be an F- ...fixed point x ∗ ∈ X and for every x ∈ X the sequence { T n x ... 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