uniformly convex
Application of the product net technique and Kadec–Klee property to study nonlinear ergodic theorems and weak convergence theorems in uniformly convex multi Banach spaces
... differentiable norm. We use the technique of product net to obtain the nonlinear ergodic theorems in Y. Finally, let the dual of uniformly convex multi-Banach space have the Kadec–Klee property, we instate ...
15
Existence and higher arity iteration for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
... convex hyperbolic spaces with modulus of uniform convexity η(r, ε) = ε []. Therefore, the class of uniformly convex hyperbolic spaces includes CAT() spaces as a special case. Metric fixed point ...
18
Fixed Points of Single- and Set-Valued Mappings in Uniformly Convex Metric Spaces with No Metric Convexity
... on uniformly convex metric spaces. Results stated for uniformly convex metric space with a monotone modulus of convexity also hold if there is a lower semicontinuous from the right modulus of ...
16
A New Implicit Algorithm of Asymptotically Quasi-nonexpansive Maps in Uniformly Convex Banach Spaces
... a uniformly convex Banach space, T a selfmap on a nonempty subset C of E, F (T ) = { x ∈ C : T (x) = x } , the set of fixed points of T, { 1, 2, 3, ...
5
Common fixed points for some generalized multivalued nonexpansive mappings in uniformly convex metric spaces
... closed convex subset of a complete CAT(0) space X , t : K ® K is a single-valued quasi-nonexpansive mapping and T : K ® KC ( K ) is a multivalued mapping satisfying conditions (E) and (C l ) for some l Î (0, 1) ...
9
Approximating distance between sets by multivalued coupling with application to uniformly convex Banach spaces
... Remark 4.2 Lemma 4.1 is also generally valid in metric spaces. It is not necessary to as- sume X to be a normed linear space. We use this result only in the theorem for uniformly convex Banach spaces. For ...
15
Fixed point theorems for N-generalized hybrid mappings in uniformly convex metric spaces
... In this paper, we prove some fixed point theorems for N-generalized hybrid mappings in both uniformly convex metric spaces and CAT(0) spaces. We also introduce a new iteration method for approximating a fixed ...
16
New iteration process for total asymptotically nonexpansive mappings in uniformly convex hyperbolic spaces
... [23] W. Kirk, B. Panyanak: A concept of convergence in geodesic spaces. Nonlinear Anal. 68(2008), 3689-3696. [24] L. Leustean: Nonexpansive iterations in uniformly convex W-hyperbolic spaces. In: A. ...
13
Iterative process for a strictly pseudo contractive mapping in uniformly convex Banach spaces
... In , Marino and Xu [] improved Reich’s [] result and gave several weak conver- gence theorems via the normal Mann iterative algorithm for strictly pseudo-contractive mappings in Hilbert spaces. Further, they ...
5
Common fixed points for some generalized nonexpansive mappings and nonspreading-type mappings in uniformly convex Banach spaces
... In this article, we study the fixed point theorems for nonspreading mappings, defined by Kohsaka and Takahashi, in Banach spaces but using the sense of norm instead of using the function φ . Furthermore, we prove a weak ...
11
Strong convergence theorems for finding a common solution of a variational inequality problem and a fixed point problem in a uniformly convex and 2-smooth Banach spaces
... In 2013, Atid Kangtunyakarn [2], introduced a new mapping, called S A -mapping to modify the Halpern iterative scheme for finding a common element of two sets of solutions of variational inequality problem and the set of ...
19
Convergence of Path and Approximation of Common Element of Null Spaces of Countably Infinite Family of m Accretive Mappings in Uniformly Convex Banach Spaces
... Motivated by the results of the authors mentioned above, it is our purpose in this paper to prove new path convergnce theorems and introduce a new iteration process for a countably infinite family of m-accretive mappings ...
18
On the convergence of a generalized modified Krasnoselskii iterative process for generalized strictly pseudocontractive mappings in uniformly convex Banach spaces
... This paper aims to study the strong convergence of generalized modified Krasnoselskii iterative process for finding the minimum norm solutions of certain nonlinear equations with generalized strictly pseudocontractive, ...
12
Convergence of general algorithm for I generalized asymptotically nonexpansive nonself mappings in uniformly convex hyperbolic spaces
... Inspired and motivated by those facts, we will construct a new type of iterative sequence involving I-generalized asymptotically nonexpansive nonself-mapping in a nonempty closed convex subset of complete ...
15
Approximating fixed points of α-nonexpansive mappings in uniformly convex Banach spaces and CAT(0) spaces
... An existence theorem for a fixed point of an α-nonexpansive mapping T of a nonempty bounded, closed and convex subset C of a uniformly convex Banach space E has been recently established by Aoyama and ...
20
Existence and convergence of fixed points for mappings of asymptotically nonexpansive type in uniformly convex W-hyperbolic spaces
... to uniformly convex W-hyperbolic spaces which are a natural generalization of both uniformly convex normed spaces and CAT(0) ...in uniformly convex W-hyperbolic spaces with ...
12
Fixed Points for Multivalued Mappings in Uniformly Convex Metric Spaces
... As an immediate consequence of Theorem 3.3, we obtain the following corollary. Corollary 3.4. Let X be a complete uniformly convex metric space satisfying condition 2.11, C a nonempty bounded closed ...
9
Common fixed-point results in uniformly convex Banach spaces
... We show that, in a uniformly convex Banach space, condition (K) is weaker than quasi- nonexpansiveness and weaker than asymptotic nonexpansiveness. We also present the existence theorem of common fixed ...
7
Convergence theorems for generalized nonexpansive mappings in uniformly convex Banach spaces
... Fixed point theorems for a mapping satisfying condition (C) were studied by Dhom- pongsa et al. [] and Phuengrattana []. Khan and Suzuki [] proved a weak convergence theorem for a mapping satisfying condition (C) in ...
12
Approximating Fixed Points of Some Maps in Uniformly Convex Metric Spaces
... Mann and Ishikawa type iterates for nonexpansive and quasi-nonexpansive maps have been extensively studied in uniformly convex Banach spaces 1, 3–6. Senter and Dotson 7 established convergence of Mann type ...
11