Generalized Asymptotically Quasi-Nonexpansive Mapping
On generalized asymptotically quasi-ϕ-nonexpansive mappings and a Ky Fan inequality
... Corollary . Let E be Hilbert space and C be a nonempty closed convex subset of E. Let T : C → C be a generalized asymptotically quasi-nonexpansive mapping. Let f be a bifunction from ...
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Convergence of a hybrid iterative method for finite families of generalized quasi-ϕ-asymptotically nonexpansive mappings
... every nonexpansive mapping with a fixed point is quasi-nonexpansive and all asymptotically nonexpansive maps with fixed points are asymptotically ...of generalized ...
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On the Convergence of an Implicit Iterative Process for Generalized Asymptotically Quasi-Nonexpansive Mappings
... of asymptotically nonexpansive mappings in the intermediate sense was introduced by Kirk 3 see also Bruck et ...of asymptotically nonexpansive ...every asymptotically ...
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Strong convergence theorems for fixed points of generalized asymptotically quasi-φ-nonexpansive mappings
... an asymptotically regular, closed and asymptotically quasi-φ -nonexpansive mapping with the sequences {k n,i } ⊂ [1, 1−α 1 n,i ] for each i ≥ ...
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Convergence theorems of multi-step iterative algorithm with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... of asymptotically nonexpansive mappings was in- troduced by Goebel and Kirk [4] who proved that every asymptotically nonexpansive self-mapping of nonempty closed bounded and convex ...
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1. Convergence theorems of fixed point for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... of generalized asymptotically nonexpansive mapping and gave a necessary and sufficient condition for the modi- fied Ishikawa and Mann iterative sequences to converge to fixed points for the class ...
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Viscosity approximation method for generalized asymptotically quasi-nonexpansive mappings in a convex metric space
... A generalized asymptotically nonexpansive mapping is a generalized asymp- totically quasi-nonexpansive ...alized asymptotically nonexpansive ...
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3. An implicit iteration scheme with errors for Common fixed points of generalized asymptotically quasi-nonexpansive mappings
... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [8] who proved that every asymptotically nonex- pansive self-mapping of nonempty closed bounded and convex subset of a ...
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Convergence of algorithms for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings with applications
... closed, asymptotically regular, and generalized asymptoti- cally quasi- j -nonexpansive mapping with the sequences { μ n }, and { ξ n ...
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A monotone projection algorithm for fixed points of nonlinear operators
... Lemma . [] Let E be a uniformly smooth and strictly convex Banach space which also enjoys the Kadec-Klee property, and let C be a nonempty closed and convex subset of E. Let T : C → C be a generalized ...
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Convergence and Stability of Modified Random SP-Iteration for A Generalized Asymptotically Quasi-Nonexpansive Mappings
... a nonexpansive mapping is quasi-nonexpansive but not con- versely and a nonexpansive mapping is an asymptotically nonexpansive mapping, an ...
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Generalized mixed equilibrium problems and quasi- ϕ-asymptotically nonexpansive multivalued mappings in Banach spaces
... This problem was first studied by Blum and Oettli [1]. The set of solutions of equilib- rium problem (1.1) is denoted by EP(f ) that is EP(f ) = {ˆ x ∈ C : f ( x, ˆ y) ≥ 0, ∀y ∈ C}. Let A : C −→ E ∗ be a nonlinear ...
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Convergence theorems of implicit iterates with errors for generalized asymptotically quasi-nonexpansive mappings in Banach spaces
... pansive mapping due to Xu and Ori [26] to the case of asymptotically quasi-nonexpansive ...of asymptotically quasi-nonexpansive mappings on unbounded sets in a uniformly ...
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A strong convergence theorem for fixed points of generalized asymptotically quasi-ϕ-nonexpansive mappings
... of asymptotically nonexpansive mappings was introduced by Goebel and Kirk [] in ...every asymptotically nonexpansive self-mapping T on C has a fixed ...
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On split common solution problems: new nonlinear feasible algorithms, strong convergence results and their applications
... so T is neither pseudocontractive nor quasi-nonexpansive. The proof is completed. 3 New feasible iterative algorithms for SCSP and strong convergence theorems In this section, we establish some new strong ...
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Convergence of general algorithm for I generalized asymptotically nonexpansive nonself mappings in uniformly convex hyperbolic spaces
... nonself-asymptotically nonexpansive mappings have not been paid too much atten- ...nonself-asymptotically nonexpansive mappings was introduced by Chidume et ...of asymptotically ...
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Strong convergence theorems of the Halpern Mann’s mixed iteration for a totally quasi ϕ asymptotically nonexpansive nonself multi valued mapping in Banach spaces
... of asymptotically nonexpansive self or nonself mappings, relatively nonexpansive, quasi-φ-nonexpansive and quasi-φ -asymptotically nonexpansive self or nonself ...
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Convergence of Hybrid Fixed Point for a Pair of Nonlinear Mappings in Banach Spaces
... of asymptotically quasi-nonexpansive mapping and asymptotically quasi-nonexpansive mapping in the intermediate sense in the framework of Banach ...
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On variational inequality, fixed point and generalized mixed equilibrium problems
... monotone mapping. It is well known that a monotone mapping T is maximal if and only if, for any (x, f ) ∈ H × H, x – y, f – g ≥ for all (y, g) ∈ G(T) implies f ∈ ...
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On the convergence of the multi-step Noor fixed point iterative scheme with errors in the class of Zamfirescu operators
... satisfies the contractive conditions of the theorem 1.2 will be called a Zamfirescu operator. One of the most studied classes of quasi contractive type operators is that of Zamfirescu op- erators, for which all ...
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