[PDF] Top 20 Assad-Kirk-Type Fixed Point Theorems for a Pair of Nonself Mappings on Cone Metric Spaces

... the cone metric spaces, but with new contractive ...fixed point. Let us note that the questions concerning common fixed points for self-mappings in metric ... See full document

... Banach’s contraction principle plays an important role in several branches of mathematics. Because of its importance for mathematical theory, it has been extended in many direc- tions (see [, , , , , , ]); ... See full document

... fixed point results using a G-metric space [, ...fixed point results for multivalued maps in G-metric ...G-cone metric space and generalized some ...Nadler- type results ... 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

... partial metric spaces and fixed points for partially ordered metric ...a metric, then we obtain Theorem  of ...fixed point and coupled fixed point results for mappings or ... See full document

... of cone metric space as a generalization of metric ...a cone metric space, which is not a contraction in a standard metric ...of metric spaces is not flexible enough ... See full document

... Cone metric spaces were introduced in ...in cone metric spaces, the authors proved some fixed point theorems of contractive ...more fixed point ... See full document

... several fixed point theorems for hybrid pairs of mappings are proved and by now there exists considerable literature in this ...hand Assad and Kirk [4] gave a su ffi cient ... See full document

... common fixed point and occasional weak compatibility are equivalent conditions, and consequently, proving existence of fixed points by assuming occasional weak compatibility is equivalent to proving ... See full document

... mon fixed point theorems for three mappings with a new type of contractive conditions in cone metric ...in cone metric ... See full document

... of cone metric spaces CMSs by replacing real numbers with an ordering Banach ...of cone metric spaces but not contraction if considered over metric spaces and ... See full document

... on fixed points of self-mappings in metric and Banach ...the mappings under examination may not always be self-mappings, therefore fixed point theorems for ... See full document

... common fixed point of f and g. Corollary 3.2. Let (X, d, s) be a cone metric type space with coefficient s ≥ 1 and P a nor- mal cone with normal constant ...the mappings f ... See full document

... d(Tx,T y) ≤ λ · max d(x, y), d(x,Tx), d(y,T y), d(x,T y), d(y,Tx) (1.1) is called quasicontraction. Let us remark that ´Ciri´c [1] introduced and studied quasicon- traction as one of the most general contractive ... 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

... of fixed points of functions satisfying certain contractive conditions has been at the center of vigorous research activity, for example see 1–5 and it has a wide range of applications in different areas such as ... See full document

... called cone metric on X, and the pair X, d is called a cone metric space ...the cone P is normal with the normal constant K ... See full document

... Throughout this paper, (X, d, ≤) denotes a partially ordered metric space where (X, ≤) is a partially ordered set and (X, d) is a metric space for a given metric d on X . Furthermore, the product ... See full document

... On this basis, we define a partial ordering ≤ with respect to P by x ≤ y if and only if y – x ∈ P. We shall write x < y to indicate that x ≤ y but x = y, while x y will stand for y – x ∈ int P. Write · as the norm on ... See full document

... the metric, the notion of probabilistic metric space correspond to situations when we do not know exactly the distance between the two points but we know probabilities of possible values of this ...of ... See full document