[PDF] Top 20 Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications

... weak convergence even for nonexpansive mappings in infinite-dimensional Hilbert spaces (see [8] for more details and the refer- ence ...strong convergence (norm convergence) is often ... See full document

... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [] in ...every asymptotically nonexpansive self-mapping T on C has a fixed ...strong convergence of ... See full document

... Fixed points of nonlinear operators as an important research branch of nonlinear analysis and optimization has been applied in the study of nonlinear ...of fixed points were ...world ... See full document

... also said to be uniformly smooth if the limit is attained uniformly for x, y Î U. Let E be a Banach space. The modulus of convexity of E is the function δ : [0, 2] ® [0, 1] defined by δ ( ε ) = inf { 1 − x+y 2 : x, y ∈ ... See full document

... common fixed points of a countable family of total quasi-j-asymptotically nonexpansive mappings and null spaces of finite family of g-inverse strongly monotone mappings in ... See full document

... fixed points has been revealed as a very powerful and important tool in the study of non- linear ...fixed points of non- linear ...world applications, it is not only to know the existence of fixed ... See full document

... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [3] who proved that every asymptotically nonex- pansive self-mapping of nonempty closed bounded and convex subset of a ... See full document

... every nonexpansive mapping is asymptotically nonexpansive with the asymptotical sequence ...of asymptotically nonexpansive mappings was introduced by Goebel and Kirk 2 in ... See full document

... The purpose of this paper is study the multi-step iterative algorithm with bounded errors (1.1) for a finite family of generalized asymptotically quasi-nonexpansive map- pings to converge to ... See full document

... the generalized f -projection operator for finding a common ele- ment of the set of fixed points of asymptotically quasi-φ-nonexpansive mappings in the intermediate sense and the ... See full document

... for convergence of common fixed point for three-step iteration scheme with errors for generalized asymptotically quasi-nonexpansive ... See full document

... fixed points of two finite families of nonexpansive and strictly pseudo-contractive mappings and two sets of variational inequalities in uniformly convex and 2-smooth Banach ...spaces. Fixed ... See full document

... of quasi-φ -nonexpansive mappings and the class of asymptoti- cally quasi-φ -nonexpansive mappings are more general than the class of relatively non- expansive mappings ... See full document

... certain applications to economics, physics, mechanics and engi- neering sciences, ...implementable algorithms for solving equilibrium problems and mixed equilibrium problems (see, ... See full document

... Proof. Putting B ≡ 0 in Theorem 3.1, the conclusion of Theorem 3.2 can be obtained. Corollary 3.3 . Let E be a uniformly smooth and 2-uniformly convex Banach space, C be a nonempty closed convex subset of E. Let A be an ... See full document

... Let D be a nonempty closed subset of a real Banach space X. A mapping T : D → D is said to be nonexpansive if Tx – Ty ≤ x – y for all x, y ∈ D. An element p ∈ D is called a fixed point of T : D → D if p = T(p). The ... See full document

... every nonexpansive mapping with a fixed point is quasi-nonexpansive and all asymptotically nonexpansive maps with fixed points are asymptotically ...of generalized ... See full document

... Iterative algorithms have been studied by many authors. The applications of iterative algo- rithms are found in a wide range of areas, including economics, image recovery and signal ...using ... See full document

... of asymptotically nonexpansive mappings was introduced by Geobel and Kirk ...assymptotically nonexpansive self-mapping of K has a fixed ...every nonexpansive mapping is ... See full document

... [36] L. Leus¸tean, Nonexpansive iteration in uniformly convex W -hyperbolic spaces, In A. Leizarowitz, B.S. Mor- dukhovich, I. Shafrir, A. Zaslavski, Nonlinear Analysis and Optimization I. Nonlinear analysis ... See full document