[PDF] Top 20 Convergence analysis of a general iteration schema of nonlinear mappings in hyperbolic spaces

... of mappings acting on a Hilbert space is a problem that often arises in applied mathematics, for instance, in convex mini- mization problems and systems of simultaneous ...the analysis of a general ... See full document

... of nonlinear mappings acting on a nonempty convex domain often arises in applied mathematics, for instance, in convex minimization problems and systems of simultaneous ...following iteration is a ... See full document

... space, in which a mixed Agarwal-O’Regan-Sahu type iterative scheme for approximating a common fixed point of totally asymptotically nonexpansive mappings was constructed. In this paper, following the work of Yang ... See full document

... the convergence of new implicit iterations dealing with n-tupled fixed point results for nonlinear contractive-like mappings on W-hyperbolic metric ...implicit iteration schemes have ... See full document

... are nonlinear in nature, whereas fixed point theory proposed in the setting of normed linear spaces or Banach spaces ma- jorly depends on the linear structure of the underlying ...A nonlinear ... See full document

... strong convergence through the S-iteration process for a class of mappings which is essentially wider than that of asymptotically nonexpansive mappings on a nonlinear domain, uniformly ... See full document

... it. Hyperbolic spaces are general in nature and inherit rich geometrical structure suitable to obtain new results in topology, graph theory, multi-valued analysis and metric fixed point ... See full document

... in general almost all problems in various disciplines of science are nonlinear in nature, and most results of fixed point theory are proposed un- der the framework of normed linear spaces or Banach ... See full document

... of nonlinear analysis has been applied in the study of nonlinear ...of analysis, topol- ogy, and ...linear mappings have been considered by many ...of nonlinear mappings ... See full document

... of nonlinear mappings in a general setup of hyperbolic spaces is a fascinating field of research in nonlinear functional ...Moreover, iteration schemes are the only main ... See full document

... Since ρ fails in general the triangle identity, many of the known properties of limit may not extend to ρ-convergence. For example, ρ-convergence does not necessarily imply the ρ-Cauchy condition. ... See full document

... of hyperbolic spaces in [] is more restrictive than the hyperbolic type introduced by Goebel and Kirk [] since (I)-(III) together are equivalent to (X, d, W ) being a space of hyperbolic ... See full document

... 2 I. Yamada, “The hybrid steepest descent method for the variational inequality problem over the in- tersection of fixed point sets of nonexpansive mappings,” in Inherently Parallel Algorithms in Feasibility and ... See full document

... We give the sufficient conditions which imply the existence of common fixed points for single-valued mappings and multivalued nonexpansive mappings, respectively, as follows Theorem 3.5. Let E be a nonempty ... See full document

... multivalued mappings in CAT0 spaces has been rapidly developed and many of papers have appeared see, ...CAT0 spaces can be applied to any CATκ space with κ ≤ 0 since any CATκ space is a CAT κ space ... See full document

... following iteration process is a translation of the mixed Agarwal-O’Regan-Sahu type iterative scheme introduced in [] from Banach spaces to hyperbolic ...The iteration rate of ... See full document

... CAT() spaces. Basarir and Sahin [] studied a multistep iterative process for fixed points of generalized nonexpansive mappings in a CAT() space. They established the demiclo- deness principle for this ... See full document

... Zembayashi, “Strong and weak convergence theorems for equilibrium problems and relatively nonexpansive mappings in Banach spaces,” Nonlinear Analysis: Theory, Methods & Applications [r] ... See full document

... Banach spaces: properties and applications,” in Theory and Applications of Nonlinear Operators of Accretive and Monotone Type, ...strong convergence theorem for relatively nonexpansive ... See full document

... Recently, hybrid projection algorithms have been studied for the fixed point problems of nonlinear mappings by many authors; see, for example, 8–24. In 2006, Martinez-Yanes and Xu 10 proposed the following ... See full document