[PDF] Top 20 Common Fixed Point Theorems for Weakly Compatible Mapping Satisfying Generalized Contraction Principle in Complete G-Metric Spaces

... 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

... y), G(Ay, y, y) ≤ φ (4γ G(Ay, y, y)), G(Ay, y, y) < 4γ G(Ay, y, y), G(Ay, y, y) < G(Ay, y, y) as 3α + 7β + 6γ < ...Thus G(Ay, y, y) = 0 ⇒ Ay = ...is common ... See full document

... Banach contraction principle has been improved in different directions at different spaces by mathematicians over the ...usual metric space and generalized the Banach contraction ... See full document

... The fixed point theory has several applications in many fields of science and engineering ...a contraction mapping in a complete Metric space, which states that, “A ... See full document

... to compatible mappings [8] and then to weakly compatible mappings ...coincidence point is also weakly compatible as the requirement of weak compatibility is met out ...in ... See full document

... commuting mapping is turning point in the fixed point theory when it was formed by Salvatore Sessa [9] and Jungck ...some common fixed points of mapping had ... See full document

... of fixed point in partially ordered sets see 8–19, 21–36 and the references cited ...Banach contraction principle in partially ordered ...19 generalized their own results 18 by ... See full document

... of common fixed points of mappings satisfying certain contractive conditions has many applications and has been at the center of vigorous research ...proved common fixed point theorems ... See full document

... s contraction mapping principle in the ...of metric space such as rectangular metric spaces, pseudo metric spaces, probabilistic metric spaces, ... See full document

... of common (E.A) property, we prove some common fixed point theorems for three pairs of weakly compatible self-maps satisfying a generalized weakly ... See full document

... and g be self-maps of a set X i.e., f, g : X → X ...coincidence point of f and g, and w is called a point of coincidence of f and ...and g are said to be weakly ... See full document

... of fixed point theorems for fourcompatible, weakly compatible and occasionally weakly compatible mapping of integral type in modular metric spaces and ... See full document

... Fixed point theorems, involving four self-maps, began with the assumption that all of the maps are ...pairwise weakly commuting. Jungck generalized the notion of weak commutativity to ... See full document

... The contraction principle introduced by Banach [1] is one of the most important results in mathematical ...applied fixed point result in many branches of mathematics and it was ... 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

... cone metric space with a partial order and establish that this con- traction has necessarily a fixed point either under the continuity assumption or an order condition which we state ...the ... See full document

... that g(E) is a closed subset of X. Then T and g have a unique common fixed point, that is, there exists x ∈ X such that T x = gx = ...= g and apply Corollary ... See full document

... Handa, Common coupled …xed point theorems for nonlinear contractive condition on intuitionistic fuzzy metric spaces with application to integral equations, Journal of the Korean Society ... See full document

... [10]. Moradi S. and Farajzadeh A., On the fixed point of ( 𝜓 − 𝜑 ) - weak and generalized (𝜓 − 𝜑) - weak contraction mappings, Applied Mathematics Letters 25 (2012), 1257-1262. [11]. ... See full document

... 2-metric spaces and claimed them as gene- ralizations of metric ...general metric spaces called D-metric ...D-metric spaces, Shaban Sedghi, Nabi Shobe and Haiyun ... See full document