[PDF] Top 20 Cone C-class Function with Common Fixed Point Theorems for Cone b-metric Space

... x, will stand for y − x ∈ intP , where intP denotes the interior of P . The cone P is called normal if there is a number K > 0 such that 0 ≤ x ≤ y implies P x P ≤ K P y P for all x , y ∈ E . The least positive ... See full document

... a, b, c are non-negative and satisfy a+b+c < ...unique fixed point. Theorem 2.17:[15] Let X be a Complete b - metric space with metric 𝑑 and let 𝑇: ... See full document

... a cone b-metric was introduced by ...many fixed point theorems, which generalize some relative theorems on cone metric spaces (see [12]–[15]) and ... See full document

... whether cone metric spaces are equivalent to metric spaces in terms of the existence of the fixed points of the mappings ...some fixed point results in metric and in ... See full document

... The class of cone b-metric spaces is larger than the class of cone metric spaces since any cone metric space must be a cone metric ... See full document

... vector space- valued cone metric spaces which are generalize of the results [15] and ...obtained common fixed point of a pair of mappings satiasfying a generalized contractive ... See full document

... of metric spaces in the literature. Fixed point theory in abstract metric or K-metric spaces was developed in the middle of 70th years of twentieth ...of cone metric ... See full document

... some fixed point theorems for pair of map in cone metric ...proved common fixed point theorem for three self maps in cone metric ...some fixed ... See full document

... mappings, b-coupled coin- cidence point and b-common coupled fixed point for mappings F, G : X × X ® X, where (X, d) is a cone metric ...establish b-coupled ... See full document

... x) c for some x in X . A cone metric space X is said to be complete if every Cauchy sequence in X is convergent in X ...a cone metric space,E be a real Banach space ... See full document

... of b-metric space was introduced by Bakht, who used it to prove the Banach contraction mapping principle ...introduced cone metric spaces and established fixed point ... See full document

... complete cone -metric space and be a normal cone with normal constant " ...conditions: B, B, C ≼ ℎ B, B, C (2.1) for all B, C ∈ ... See full document

... If {S, F} is weakly compatible pair, we have SFx FSx, which implies Mb b, that is, b 0. Similarly, if {T, G} is weakly compatible pair, we have TGy GTy, which implies Md d, that is, d 0. Then x y 0, and z 0 ... See full document

... q(gy, f x) ⪯ αq(y, x) + βq(gy, x) + γq(f x, y). Then f and g have a common fixed point. Moreover, if f z = gz = z, then q(z, z) = 0. Proof. We can prove this result by apply Theo- rem 3.3 with α(x) = ... See full document

... -cone metric space defined in Example ..., b = c = d = 1 7 , the inequality (3) of Theorem ...unique point x = 0 of coincidence in ...unique common fixed ... See full document

... some fixed point theorems in cone metric ...those theorems and obtained common fixed points for mappings with normal cone conditions satisfying certain ... See full document

... vector space (E, P) is order-convex if it has a base of neighbor- hoods of θ consisting of order-convex ...the cone P is said to be normal. If E is a normed space, this condition means that the unit ... See full document

... of cone metric spaces by replacing real numbers with a cone P in the metric function in which it is called a ...Banach space to define cone metric space, ... 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

... Jungck, Common fixed point results for non commuting mappings without continuity in cone metric space, J. Hamlbarani, Some notes on the paper “Cone metric spaces and fixed point theorems [r] ... See full document