[PDF] Top 20 Generalized probabilistic G-contractions
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Generalized probabilistic G-contractions
... of generalized probabilistic G-contractions in Menger PM-spaces with a directed graph G = (V(G), E(G)) such that V(G) = X and ⊂ ... See full document
21
Fixed point theorems for integral G-contractions
... [] generalized the Banach contraction principle by proving the existence of a unique fixed point of a mapping on a complete metric space satisfying a general contrac- tive condition of integral ...weakly ... See full document
11
Projective contractions, generalized metrics, and fixed points
... mapping g from X into itself with fixed point y ∗ , the existence of η > such that p(f (x), g(x)) < η for all x ∈ X implies that p(x ∗ , y ∗ ) ≤ –c η ... See full document
13
Generalized contractions in metric spaces endowed with a graph
... Let G be a directed graph such that the set V(G) of its ver- tices coincides with X and ⊆ E(G), where E(G) is the set of edges of the ...that G has no parallel edges, and thus, one can ... See full document
9
An Extension of Generalized (𝜓,𝜑) Weak Contractions
... We are ready to state our main theorem that is a proper extension of Theorem 2.4. Theorem 3.1. Let X, d be a complete metric space and T : X → X an injective, continuous, and sequentially convergent mapping. Let f, ... See full document
12
Products Of Generalized Probabilistic Metric Spaces
... discussed by V. Istratescu and I Vaduva 7 . Later A. Xavier 15 , S., Zertaj, and A., Khan 13 and many others studied the results concerning products of probabilistic metric as well as 2-metric spaces. ... See full document
5
Invariant approximations, generalized -contractions, and -subweakly commuting maps
... Proof. Let x ∈ D R S , I ( x). Then, as in Theorem 2.5, Tx ∈ D S R , I ( x), that is, T(D R S , I ( x)) ⊂ D R S , I ( x). Also (1 − k)x + k x − x < dist( x,S) for all k ∈ (0, 1). This implies that x ∈ ∂S ∩ S (see [1]) ... See full document
8
Fw-contractions in a complete G-metric space
... been generalized and extended in many directions; see ([1], [2], [4], [5], [11], [12] and [13]) and the reference ...the G-metric space as a generalized form of the metric ...the G-metric ... See full document
10
Probabilistic b-metric spaces and nonlinear contractions
... 11. Gregori, V, Sapena, A: On fixed-point theorems in fuzzy metric spaces. Fuzzy Sets Syst. 125, 245-252 (2002) 12. Kramosil, O, Michalek, J: Fuzzy metric and statistical metric spaces. Kybernetika 11, 326-334 (1975) 13. ... See full document
15
α ψ Geraghty contractions on generalized metric spaces
... of generalized metric, as well known as rectangular metric, where he replaced the triangle inequality with the weaker assumption, namely, quadrilateral ...with generalized metric or rectangular metric ... See full document
21
Fixed and periodic points of generalized contractions in metric spaces
... d(p, gp) = and p = gp. Similarly, we obtain p = fp. This shows that p is a common fixed point of g and f . Now suppose that F(f , g) is well ordered. We prove that F(f , g) is a sin- gleton. Assume ... See full document
11
Tripled coincidence point results for generalized contractions in ordered generalized metric spaces
... In this paper, we establish some tripled coincidence point results for a mixed g- monotone mapping F : X 3 ® X satisfying (ψ, j)-contractions in ordered generalized metric spaces. Also, an ... See full document
22
Fixed points for generalized (α,ψ) contractions on generalized metric spaces
... of generalized metric spaces by caring the problems (P)-(P) mentioned ...‘a generalized metric’. In the sequel, when we mention a ‘generalized metric’ we mean the metric introduced by Branciari [] ... See full document
16
Mixed monotone-generalized contractions in partially ordered probabilistic metric spaces
... In this article, a new concept of mixed monotone-generalized contraction in partially ordered probabilistic metric spaces is introduced, and some coupled coincidence and coupled fixed point theorems are ... See full document
13
Tripled common fixed point theorems under probabilistic φ-contractive conditions in generalized Menger probabilistic metric spaces
... of generalized Menger probabilistic metric spaces and tripled common fixed point for a pair of mappings T : X × X × X → X and A : X → X are ...hybrid probabilistic contractions with a gauge ... See full document
17
Nonlinear generalized ϕ-contractions in complete G-metric spaces and applications
... On the other hand, in 2006, Mustafa and Sims [9, 10] introduced the notion of generalized metric spaces or simply G-metric spaces. Recently, Mohsenialhosseini in [7, 8] introduced the approximate fixed ... See full document
11
Generalized probabilistic metric spaces and fixed point theorems
... Menger probabilistic G-metric space (shortly, PGM-space) is a triple (X, G ∗ , T ), where X is a nonempty set, T is a continuous t-norm and G ∗ is a mapping from X × X × X into D (G ∗ ... See full document
15
Probabilistic G-contractions
... let G be a directed graph such that the set V (G) of its vertices coincides with S and the set E(G) of its edges contains all loops, ...that G has no parallel edges. Let G = ... See full document
14
Common fixed point and approximation results for generalized (f, g)-weak contractions
... of generalized (f, g)-weakly contractive map-pings, and consequently establish common fixed point and invariant best approxi- mation results for the noncommuting generalized (f, g)-weakly ... See full document
10
Fixed Point Theorem Using Generalized Meir-Keeler Contractions on G-Metric Spaces
... In 2012, Aydi H., Karapinar Erdal[9], proved a general common fixed point theorem for two pairs of weakly compatible self-mappings of a partial metric space satisfying a genera[r] ... See full document
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