[PDF] Top 20 Generalized Altering Distances and Common Fixed Points in Ordered Metric Spaces

... of common fixed points of mappings satisfying certain contractive conditions has been researched extensively by many mathematicians since fixed point theory plays a major role in mathematics ... See full document

... Remark . Theorem . can be considered as an answer to Theorem  in []. We find the sufficient conditions for the uniqueness of the common fixed point in the case of an ordered g-quasicontraction. In this ... See full document

... If the condition (x) is fulfilled, put w = fz = gz. We will show that w is a common fixed point of f and g. Since fz = gz and f and g are weakly compatible, we obtain, by the defini- tion of weak compatibility, that ... See full document

... introduce ordered quasicontractions and g-quasicontractions in partially ordered metric spaces and prove the respective (com- mon) fixed point ... See full document

... and common fixed point theorems in complete ordered metric spaces for mappings, satisfying a contractive condition which involves two generalized altering distance ...a ... See full document

... a generalized altering distance function and : [0, ∞) → [0, ∞) is a right upper semi-continuous function with the condition ( ) > ( ), ∀ > 0 and ( ) = 0 ⇔ = ...have common fixed point, ... See full document

... By introducing the notion of f -contractiveness for set-valued mappings, Kaneko [] ob- tained a result which gives the existence of a coincidence point in a metric space. An im- proved version of Kaneko’s result ... See full document

... fixed points and common tripled fixed points for some contractions in cone metric spaces, partially ordered met- ric spaces, fuzzy metric spaces, fuzzy normed ... See full document

... of fixed points of generalized Geraghty contractions in partially ordered metric spaces by using an altering distance function without subadditivity and continuity is of ... See full document

... which generalized the Banach Contraction Mapping ...significant fixed point results as a generalization of Banach Contraction Principle have been established by using the notion of alerting distance ... See full document

... cone metric structure, to construct convergent sequences and prove that the limits of the constructed sequences are the unique (common) fixed point of the mappings, and give their ... See full document

... cone metric spaces and established some fixed point theorems for contractive mappings in these ...studied fixed point theorems of contractive type mappings by omitting the assumption of ... See full document

... Theorem  Let (X, ) be a partially ordered set and suppose that there exists a metric d on X such that the metric space (X, d) is complete. Let f : X → X be a strictly increasing continuous mapping ... See full document

... of metric space is fundamental in mathematical analysis and the Banach con- traction principle is the root of fruitful tree of fixed point theory ...complete metric spaces in ...a common fixed ... See full document

... Example 2.3. Let X = [0, ∞) be equipped with the b-metric-like d(x, y) = (x + y) 2 for all x, y ∈ X , where b = 2. Define a relation on X by x y iff y ≤ x, the functions f , g : X → X by f x = ln(1 + 13 x ) and f ... See full document

... Many mathematical problems require one to find a distance between two or more ob- jects which is not easy to measure precisely in general. There exist different approaches to obtaining the appropriate concept of a ... See full document

... of common fixed point of A, B, S and T . Uniqueness of common fixed point follows from the inequality ...a metric space (X , d) and satisfy (A) and the inequality ...unique ... See full document

... partially ordered metric spaces employing altering functions and the notation of a function involving Meir-Keeler ...a metric space to generalize Theorem ...complete metric space ... See full document

... mappings on a partial metric space, satisfying a weak contractive condition involving generalized control functions. The presented theorems extend and unify various known fixed point results. Examples are ... See full document

... Some common fixed point theorems for a pair of nonself-mappings in complete met- rically convex metric spaces are proved by altering distances between the points, which ... See full document