[PDF] Top 20 1. Complex Valued Rectangular Metric Spaces and Common Fixed Point Theorems

... Fixed point theory is very interesting in study of nonlinear analysis and has a broad set of applications in Mathematics and ...a rectangular (generalized) metric spaces where the ... See full document

... vector spaces are used as the co domain of metric instead of Banach ...normed spaces. So, proper generalized from Banach space valued cone metric spaces to TVS- CMS can be ... See full document

... some fixed point theorems of Banach type contraction endowed with the graph G, we recommend [2, 3, 4, 15, 16, ...–valued metric spaces and G-contraction ... See full document

... Proof From Theorem , we can say that the mappings T and S have a unique common fixed point u i.e. Tu = Su = u. Now our requirement is to show that u is a common fixed point of all the component ... 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

... of complex valued metric spaces introduced by Azam et ...several fixed point results for mappings satisfying certain contraction ...tripled fixed point problems ... 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

... a complex valued b-metric space, where X = [0, 1] and d : X × X → C is defined by d(x, y) = |x − y| 2 + i|x − y| 2 ...a complex valued b-metric space with s = 2 let us ... See full document

... In 1976, Jungck [4] gave the notion of commutativity to obtain common fixed point theorems. This result was further generalized and extended in various ways by many authors. In 2012, Manro et al. [9] ... See full document

... the fixed point of .If � is another fixed point of , then from the injective of , we gets = � ...the fixed point is unique, if is sequentially convergent, then = ...the ... See full document

... a complex valued metric space (X, d) such that the mappings S,T ,I and J (with T = T 1 T 2 ...J 1 J 2 ...J p , I = I 1 I 2 ...I n and S = S 1 S 2 ... See full document

... Euclidean metric d. Let α,β,γ,θ be the selfmaps on M defined by α(1) = α(3) = 1, α(5) = 3, α(7) = 5, and β(1) = β(3) = β(5) = 1, β(7) = 3, and γ(1) = γ(3) = 1, γ(5) = γ(7) ... See full document

... a metric space was introduced by Fr´echet ...on fixed-point for contractive-type mappings was the well-known Banach fixed point theorem, published for the first time in ...Banach ... See full document

... ≥ 1 implies ξ (0, b) ≥ 1 or ξ (b, T 0) = ξ (b, 2) ≥ 1; ξ (1, T 1) = ξ (1, 2) ≥ 1 implies ξ (1, b) ≥ 1 or ξ (b, T 1) = ξ (b, 2) ≥ 1; ξ (2, T 2) ... See full document

... type fixed point theorems for a new type of generalized contractive conditions on partial Hausdorff metric ...Hausdorff metric spaces and on Hausdorff metric-like ...above ... 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

... of complex-valued metric spaces and established a common fixed point result in the context of complex-valued metric ...of common fixed points is ... See full document

... the common fixed point theorems which are more general than the result of Azam et ...in complex valued metric ...of common solution of sys- tem of Urysohn integral ... See full document

... then S and T have a unique common fixed point. The following example shows that the above corollary is an improvement and a real generalization of results [8, Theorems 1, 3, 4 ] and [5, ... See full document

... a complex valued generalized metric space and A ⊆ X . A point x ∈ X is called an interior point of a set A whenever there exists 0 ≺ r ∈ C such that B(x, r) = {y ∈ X : d(x, y) ≺ r} ⊆ ... See full document