[PDF] Top 20 Approximating common fixed points of semigroups in metric spaces

... a metric space. Suppose that there exists a family F of metric segments such that any two points x, y in M are endpoints of a unique metric segment [x, y] ∈ F ([x, y] is an isometric image of ... See full document

... of fixed point of expansive mappings and semigroups in probabilistic metric ...in metric spaces (see for example [3], [4] and ... See full document

... 2. Fixed point theorems for contractions. Let S be a semigroup of selfmaps on a metric space (M,d). For any x in M, the orbit of x under S starting at x is the set O(x) defined to be {x}∪ Sx, where Sx is the ... See full document

... for approximating a common fixed point of two sequences of uniformly quasi-Lipschitzian mappings in convex cone metric spaces by comparing the convergence theorems considered in convex ... See full document

... Takahashi, “Approximation of fixed points for amenable semigroups of nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications , vol.. Takahashi, No[r] ... See full document

... Banach spaces, while Hussain and Khamsi extended this result to metric spaces [] and Khamsi and Kozlowski to modular function spaces [, ...fixed points of some iterative algorithms, ... See full document

... Nonexpansive mappings are those maps which have Lipschitz constant equal to . The fixed point theory for such mappings is rich and varied. It finds many applications in non- linear functional analysis. The existence of ... See full document

... hyperbolic spaces. A particular example of such metric spaces is the class of CAT()-spaces (in the sense of Gromov) and R -trees (in the sense of ...Banach spaces in [] presents some ... See full document

... of metric spaces without linear structure has played a vital role in various branches of pure and applied ...particular, fixed point theorems in CAT (0) spaces for non- expansive single ... See full document

... of points of coincidence and common fixed points for a pair of self mappings satisfying some expansive type conditions in b- metric ...b-metric spaces cannot be obtained ... See full document

... of fixed point in partially ordered sets see 8–19, 21–36 and the references cited ...and common fixed point results for mappings satisfying a contractive inequality which involves two generalized ... See full document

... In 1973, Petryshyn and Williamson [8] established a necessary and su ffi cient con- dition for a Mann iterative sequence to converge strongly to a fixed point of a quasi- nonexpansive mapping. Subsequently, Ghosh ... See full document

... the common fixed point problems for mappings with quasi-contractive type ...cone metric spaces, but some authors in references discussed the same problems for contractive or Lipschitz ... See full document

... obtain common fixed points of contractive-type multivalued mappings on partial metric spaces which cannot be deduced from the corresponding results in metric ...for metric ... See full document

... fuzzy metric space in different ...fuzzy metric space introduced by Kra- mosil and Michalek [3] and defined Haussdorf topology in fuzzy metric ...proved fixed point theorems in fuzzy ... See full document

... all common fixed points for a continuous nonexpansive semigroup of nonlinear mappings acting in modular function spaces can be represented as an intersection of fixed points sets of two ... See full document

... Remark 2.8. Corollary 2.7 generalizes Theorem 1 in 6. Also, if we choose the ϕ-mapping defined by ϕw kw, where k ∈ 0, 1 is a constant, then Theorem 2.3 generalizes Theorem 2.1 in 3. Furthermore, if we let g be the ... See full document

... The conditions of Theorem 2.1 are not enough to prove the existence and uniqueness of the common φ -fixed point for the mappings F and g. We apply the condition of weak- compatibility of F and g to obtain ... 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

... In this paper, we prove some results of a common fixed point for two self-mappings on partial metric spaces. Our results generalize some interesting results of Ili´c et al. (Appl. Math. Lett. ... See full document