[PDF] Top 20 Common fixed point theorems for \((T,g) {F}\) contraction in b metric like spaces

... Banach contraction mapping principle in metric spaces is an important tool in non- linear analysis, many authors have been devoting in generalizing metric spaces and the Ba- nach ... See full document

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

... also useful in fuzzy differential equation. As we all know, the existence of a solution for a fuzzy differential equation can be established via the fixed point analysis approach (see [–]). Therefore, our results ... See full document

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

... Fixed point theory is one of the famous and traditional theories in mathematics and has a large number of ...Banach contraction mapping is one of the pivotal results of ...Banach contraction ... See full document

... Proof. By comparing Theorem 2.11 with Theorem 2.10, we find that we can omit the condition ”case (1) and case (2)” by the condition that wt -distance p is symmetric. By observing the proof of Theorem 2.10, we find that ... See full document

... metric spaces. One of such generalization is a probabilistic metric space, briefly, PM-spaces, introduced in 1942 by Menger ...fuzzy metric spaces which are very similar to ... See full document

... quasi metric space (where the condition of symmetry in dropped) and then Kelly [30] developed the concept of a quasi metric ...quasi metric spaces, see [23, 33, 38]. Many fixed ... See full document

... fuzzy metric spaces has been developing since ...fixed point theorem of Banach was extended by Grabiec ...fixed point is invariant in metric ... See full document

... Some common fixed point theorem for six self mappings in modular metric space for occasionally weakly compatible mappings has been establish, which improves and extends similar known results ... See full document

... partial metric space. Let f, g, S, T : X → X be four mappings such that f(X) ⊆ T (X), g(X) ⊆ S(X), f, g are dominated mappings and S, T are dominating ... See full document

... usual metric d. Define f , g : X → X by f x = 1 3 +x, gx = 1 2 , for x < 1 2 , f 1 2 = 2 3 = g 1 2 , f x = 1, gx = 1 − x, for x > 1 2 ...C( f , g) = { ... See full document

... set, F : X × X → X and g : X → X be mappings. Then the map F is said to have a mixed g-monotone property if F(x, y) is monotone g-non-decreasing in x as well as monotone ... See full document

... point theorems in such spaces ...certain theorems involving Dhage’s D-metric spaces are flawed, and most of the results claimed by Dhage and others are ...generalized ... See full document

... Since H(., 0) has a quadruple fixed point in U 4 , we have that (0, 0, 0, 0) ∈ X 4 . So that X is non- empty set. Now we show that X is both closed and open in [0, 1] and hence by the connectedness X = [0, ... See full document

... fixed point results on G-metric spaces from fixed point results on quasi-metric ...fixed point theorem on quasi-metric ... See full document

... 2-normed spaces. Math. Jpn. 33, 375-384 (1988) 4. Dhage, BC: Generalized metric space and mapping with fixed ...Generalized metric space and topological structure ...generalized metric ... See full document

... fixed point results of Wardowski [], Wardowski and Dung [], Dung and Hang [], and Piri and Kumam [] by introducing a generalized F-Suzuki-contraction in b-metric ... See full document

... cyclic contraction pair with transitive mapping in partial b-metric ...some fixed point theorems for this contraction ...(Fixed Point Theory App. 2015:164) ... See full document

... In , Edelstein [] proved an important version of the Banach contraction principle. In , Suzuki [] improved the results of Banach and Edelstein (see also [, ]). In re- cent years, cyclic ... See full document