On the Mann and Ishikawa iteration processes by Jia Yuting, Zhou Haiyun

Subjects: “…uniformly convex dual of a Banach space.…”
Get full text

Generalized Difference Lacunary Weak Convergence of Sequences by Bibhajyoti Tamuli, Binod Tripathy

Subjects: Get full text

On the spectrum of weakly almost periodic solutions of certain abstract differential equations by Aribindi Satyanarayan Rao, L. S. Dube

Subjects: “…sequentially weakly complete Banach space…”
Get full text

Metric domains, holomorphic mappings and nonlinear semigroups by Simeon Reich, David Shoikhet

Subjects: “…Banach space…”
Get full text

Proximinality in generalized direct sums by Darapaneni Narayana, T. S. S. R. K. Rao

“…We consider proximinality and transitivity of proximinality for subspaces of finite codimension in generalized direct sums of Banach spaces. We give several examples of Banach spaces where proximinality is transitive among subspaces of finite codimension.…”
Get full text

Leray-Schauder results for multivalued nonlinear contractions defined on closed subsets of a Fréchet space by Ravi P. Agarwal, Donal O'Regan

“…The proof relies on fixed point results in Banach spaces and on viewing E as the projective limit of a sequence of Banach spaces.…”
Get full text

On the Approximation of Entire Harmonic Functions in ℝn Having Slow Growth by Devendra Kumar, A. Ghareeb

“…The generalized growth of entire transcendental functions in terms of polynomial approximation errors in some Banach spaces has been studied by various authors. The main purpose of this paper is to study the harmonic polynomial approximation of entire harmonic functions in space ℝn, n≥3, in certain Banach spaces. …”
Get full text

Stochastic processes on totally disconnected topological groups by S. V. Ludkovsky

“…In particular, they are considered for diffeomorphism groups and loop groups of manifolds on non-Archimedean Banach spaces. Theorems about a quasi-invariance and a pseudodifferentiability of transition measures are proved. …”
Get full text

Uniformly Nonsquare in Orlicz Space Equipped with the Mazur-Orlicz F-Norm by Yunan Cui, Tongyu Wang

“…The definition of uniformly nonsquareness in Banach spaces is extended to F-normed spaces. Most of the results from this paper concern (uniformly) nonsquareness in the sense of James or in the sense of Schäffer in Orlicz spaces equipped with the Mazur-Orlicz F-norm. …”
Get full text

Strong Convergence to Solutions of Generalized Mixed Equilibrium Problems with Applications by Prasit Cholamjiak, Suthep Suantai, Yeol Je Cho

“…We introduce a Halpern-type iteration for a generalized mixed equilibrium problem in uniformly smooth and uniformly convex Banach spaces. Strong convergence theorems are also established in this paper. …”
Get full text

On the Solution Existence of Variational-Like Inequalities Problems for Weakly Relaxed η−α Monotone Mapping by Marwan Amin Kutbi, Wutiphol Sintunavarat

“…Using the KKM technique, the existence of solutions for variational-like problems with weakly relaxed η-α monotone mapping in reflexive Banach spaces is established. Also, we obtain the existence of solution for variational-like problems with weakly relaxed η-α semimonotone mappings in arbitrary Banach spaces by using the Kakutani-Fan-Glicksberg fixed-point theorem.…”
Get full text

Strictly Cyclic Functionals, Reflexivity, and Hereditary Reflexivity of Operator Algebras by Quanyuan Chen, Xiaochun Fang

“…This paper is concerned with strictly cyclic functionals of operator algebras on Banach spaces. It is shown that if X is a reflexive Banach space and A is a norm-closed semisimple abelian subalgebra of B(X) with a strictly cyclic functional f∈X∗, then A is reflexive and hereditarily reflexive. …”
Get full text

Fixed Point Approximation for Asymptotically Nonexpansive Type Mappings in Uniformly Convex Hyperbolic Spaces by Shin Min Kang, Samir Dashputre, Bhuwan Lal Malagar, Young Chel Kwun

“…We use a modified S-iterative process to prove some strong and Δ-convergence results for asymptotically nonexpansive type mappings in uniformly convex hyperbolic spaces, which includes Banach spaces and CAT(0) spaces. Thus, our results can be viewed as extension and generalization of several known results in Banach spaces and CAT(0) spaces (see, e.g., Abbas et al. (2012), Abbas et al. (2013), Bruck et al. (1993), and Xin and Cui (2011)) and improve many results in the literature.…”
Get full text

A New System of Generalized Mixed Quasivariational Inclusions with Relaxed Cocoercive Operators and Applications by Zhongping Wan, Jia-Wei Chen, Hai Sun, Liuyang Yuan

“…A new system of generalized mixed quasivariational inclusions (for short, SGMQVI) with relaxed cocoercive operators, which develop some preexisting variational inequalities, is introduced and investigated in Banach spaces. Next, the existence and uniqueness of solutions to the problem (SGMQVI) are established in real Banach spaces. …”
Get full text

Ishikawa iteration process with errors for nonexpansive mappings by Jialin Huang

“…We study the construction and the convergence of the Ishikawa iterative process with errors for nonexpansive mappings in uniformly convex Banach spaces. Some recent corresponding results are generalized.…”
Get full text

Support functionals and their relation to the Radon-Nikodym property by I. Sadeqi

“…In this paper, we examine the Radon-Nikodym property and its relation to the Bishop-Phelps theorem for complex Banach spaces. We also show that the Radon-Nikodym property implies the Bishop-Phelps property in the complex case.…”
Get full text

Characterization of Reflexivity by Convex Functions by Zhenghua Luo, Qingjin Cheng

“…This property provides, in particular, a characterization of the class of reflexive Banach spaces.…”
Get full text

Some Bounded Linear Integral Operators and Linear Fredholm Integral Equations in the Spaces Hα,δ,γ((a,b)×(a,b),X) and Hα,δ((a,b),X) by İsmet Özdemir, Ali M. Akhmedov, Ö. Faruk Temizer

“…Some singular integral operators on Banach spaces were examined, (Dostanic (2012)), (Dunford (1988), pages 2419–2426 and (Plamenevskiy (1965)). …”
Get full text

On Convergence Results for Lipschitz Pseudocontractive Mappings by Shin Min Kang, Arif Rafiq

“…We establish the strong convergence for the Ishikawa iteration scheme associated with Lipschitz pseudocontractive mappings in real Banach spaces. Moreover, our technique of proofs is of independent interest.…”
Get full text

Coproximinality in the Space of Bounded Functions by Eyad Abu-Sirhan, Zuhier Altawallbeh

“…As a counterpart to best approximation in Banach spaces, the best coapproximation was introduced by Franchetti and Furi (1972). …”
Get full text