[PDF] Top 20 Common fixed point theorems via weakly compatible mappings in complete G-metric spaces: using control functions

... 2γ G(y, y, Bv), G(y, Bv , y) ≤ φ (2γ GG(y, y, Bv)), G(y,Bv, y) < 2γ G(y, y, Bv), G(y, Bv , y) < G(y, y, Bv) as 3α + 7β + 6γ < ...Thus G(y, Bv , y) = 0 ⇒ Bv = ... See full document

... for weakly compatible mappings satisfying a Generalized Contraction Principle condition given by (1), we establish a fixed point results in the third part of the ... See full document

... a common fixed point theorem for commuting map- pings,which generalizes the Banach Contraction ...of weakly commuting mappings and proved some fixed point theorems ... See full document

... In 1965, Zadeh [50] introduced the concept of fuzzy sets. Since then, to use this concept in topol- ogy and analysis, many authors have expansively developed the theory of fuzzy sets and applications. For example, ... See full document

... to compatible mappings [8] and then to weakly compatible mappings ...self mappings without coincidence point is also weakly compatible as the requirement of ... See full document

... HADZIC, 01ga Common fixed point theorems for family of mappings in complete metric spaces.[r] ... See full document

... Remark 3.4 Since the condition of t-norm with t t t   for all t    0,1 is replaced by arbitrary con- tinuous t-norm, Theorem 3.1 also improves the result of Cho et al. ([26], Theorem 3.1) without any requirement of ... See full document

... self mappings of a fuzzy metric space X, M, ∗ such that the mappings A and B are a generalized fuzzy contraction with respect to mappings S and ...the common property ...a point ... See full document

... i.e., ( ∗ ) ≤ 0. using the properties of control functions, we get that ∗ = 0, which is a contradiction. Hence we have lim → ( , ) = 0. Now we show that { } is a Cauchy sequence in . It is enough to ... See full document

... for common fixed points of two or three relatively asymptotically regular mappings satisfying the orbital continuity of one of the involved maps on ordered orbitally complete metric ... See full document

... establish common fixed point theorems for two weakly compatible self-mappings satisfying the contractive condition or the quasi-contractive condition in the case of a ... See full document

... is weakly compatible, we get 7% = ...a common fixed point of 7 and 8. Hence % is a common fixed point of 5, 7, 6 and ...unique common fixed ... See full document

... compact metric space, I, J selfmaps of X, F, G : X → BX set-valued functions with ∪ FX ⊆ J X and ∪ GX ⊆ ...are weakly compatible and the functions F, I are ... See full document

... In 1922, Banach proved a common fixed-point theorem which ensures under appropriate conditions, the exis- tence and uniqueness of a fixed-point. This theorem has many applications, but ... See full document

... Moreover, there exists x 0 ∈ X such that α ( gx 0 , Tx 0 ) ≥ 1. Indeed, for x 0 = 1, we have α ( g ( 1 ) , T ( 1 )) = α ( 3 4 , 1 8 ) = 1. Let x, y ∈ X such that α ( gx, gy ) ≥ 1, that is, gx, gy ∈ [ 0, 1 ] and by ... See full document

... monotone mappings and gave some coupled fixed point theorems, which can be used to discuss the existence and uniqueness of solution for a periodic boundary value ...fixed point theorem for ... See full document

... has a unique fixed point in X ” which ensures under appropriate conditions, the existence and uniqueness of a fixed point. This theorem has had many applications, but suffers from one drawback ... See full document

... three functions to define a weak contrac- tion in a cone metric space with a partial order and establish that this con- traction has necessarily a fixed point either under the continuity ... See full document

... Fixed point theorems for multi-valued mappings in complete metric spaces, Math.. Common fixed points of two mappings, Pacific J.[r] ... 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