Fixed point theorems for generalized Lipschitzian semigroups in Banach spaces by Balwant Singh Thakur, Jong Soo Jung

Subjects: “…p-uniformly convex Banach space…”
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Ball-Covering Property in Uniformly Non- Banach Spaces and Application by Shaoqiang Shang, Yunan Cui

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On the correct formulation of a nonlinear differential equations in Banach space by Mahmoud M. El-Borai, Osama L. Moustafa, Fayez H. Michael

“…We study, the existence and uniqueness of the initial value problems in a Banach space E for the abstract nonlinear differential equation (dn−1/dtn−1)(du/dt+Au)=B(t)u+f(t,W(t)), and consider the correct solution of this problem. …”
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Fixed Point Theorems for an Elastic Nonlinear Mapping in Banach Spaces by Hiroko Manaka

“…Let E be a smooth Banach space with a norm ·. Let V(x,y)=x2+y2-2 x,Jy for any x,y∈E, where ·,· stands for the duality pair and J is the normalized duality mapping. …”
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On conditions for the strong law of large numbers in general Banach spaces by Anna Kuczmaszewska, Dominik Szynal

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C0-semigroups of linear operators on some ultrametric Banach spaces by Toka Diagana

“…This paper is concerned with a brief conceptualization of C0-semigroups on (ultrametric) free Banach spaces E. In contrast with the classical setting, the parameter of a given C0-semigroup belongs to a clopen ball Ωr of the ground field K. …”
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Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces by Somyot Plubtieng, Rabian Wangkeeree

“…Suppose that C is a nonempty closed convex subset of a real uniformly convex Banach space X. Let T:C→C be an asymptotically quasi-nonexpansive mapping. …”
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Isomorphic Universality and the Number of Pairwise Nonisomorphic Models in the Class of Banach Spaces by Mirna Džamonja

“…We develop the framework of natural spaces to study isomorphic embeddings of Banach spaces. We then use it to show that a sufficient failure of the generalized continuum hypothesis implies that the universality number of Banach spaces of a given density under a certain kind of positive embedding (very positive embedding) is high. …”
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Bregman f-Projection Operator with Applications to Variational Inequalities in Banach Spaces by Chin-Tzong Pang, Eskandar Naraghirad, Ching-Feng Wen

“…The existence of a solution for a class of variational inequalities in Banach spaces is presented.…”
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Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces by Zhou Haiyun, Athanassios G. Kartsatos

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The Solutions of Mixed Monotone Fredholm-Type Integral Equations in Banach Spaces by Hua Su

“…By introducing new definitions of ϕ convex and -φ concave quasioperator and v0 quasilower and u0 quasiupper, by means of the monotone iterative techniques without any compactness conditions, we obtain the iterative unique solution of nonlinear mixed monotone Fredholm-type integral equations in Banach spaces. Our results are even new to ϕ convex and -φ concave quasi operator, and then we apply these results to the two-point boundary value problem of second-order nonlinear ordinary differential equations in the ordered Banach spaces.…”
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Fixed Point Problems for Nonexpansive Mappings in Bounded Sets of Banach Spaces by Xianbing Wu

“…It is well known that nonexpansive mappings do not always have fixed points for bounded sets in Banach space. The purpose of this paper is to establish fixed point theorems of nonexpansive mappings for bounded sets in Banach spaces. …”
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Nonlinear variational inequalities on reflexive Banach spaces and topological vector spaces by Zeqing Liu, Jeong Sheok Ume, Shin Min Kang

“…The purpose of this paper is to introduce and study a class of nonlinear variational inequalities in reflexive Banach spaces and topological vector spaces. Based on the KKM technique, the solvability of this kind of nonlinear variational inequalities is presented. …”
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New Conditions for the Exponential Stability of Pseudolinear Difference Equations in Banach Spaces by Rigoberto Medina

“…We establish the robustness of the exponential stability in infinite-dimensional Banach spaces, in the sense that the exponential stability for a given pseudolinear equation persists under sufficiently small perturbations. …”
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A note on local asymptotic behaviour for Brownian motion in Banach spaces by Mou-Hsiung Chang

“…In this paper we obtain an integral characterization of a two-sided upper function for Brownian motion in a real separable Banach space. This characterization generalizes that of Jain and Taylor [2] where B=ℝn. …”
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Existence Theory for Integrodifferential Equations and Henstock-Kurzweil Integral in Banach Spaces by Aneta Sikorska-Nowak

“…We prove existence theorems for the integrodifferential equation x'(t)=f(t,x(t),∫0tk(t,s, x(s))ds), x(0)=x0, t∈Ia=[0,a], a>0, where f,k,x are functions with values in a Banach space E and the integral is taken in the sense of HL. …”
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Convergence of implicit iterates with errors for mappings with unbounded domain in Banach spaces by Hafiz Fukhar-Ud-Din, Abdul Rahim Khan

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On Nonuniform Polynomial Trichotomy of Linear Discrete-Time Systems in Banach Spaces by Zhi-gang Li, Xiao-qiu Song, Xiu-li Yang

“…We study two nonuniform polynomial trichotomy concepts for linear discrete-time systems in Banach spaces. Our main objective is to give summation property for nonuniform polynomial trichotomies. …”
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Weak and Strong Convergence Theorems for Zeroes of Accretive Operators in Banach Spaces by Yanlai Song, Luchuan Ceng

“…The purpose of this paper is to present two new forward-backward splitting schemes with relaxations and errors for finding a common element of the set of solutions to the variational inclusion problem with two accretive operators and the set of fixed points of nonexpansive mappings in infinite-dimensional Banach spaces. Under mild conditions, some weak and strong convergence theorems for approximating this common elements are proved. …”
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Iterative Approximations for a Class of Generalized Nonexpansive Operators in Banach Spaces by Thabet Abdeljawad, Kifayat Ullah, Junaid Ahmad, Nabil Mlaiki

“…In this article, we prove some weak and strong convergence theorems for mappings satisfying condition (E) using the AK iterative scheme in the setting of Banach spaces. We offer a new example of mapping with condition (E) in support of our main result. …”
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