Results 31 to 40 of about 722 (183)
Discrete Dynamics in Nature and Society, 2010 We introduce a new two-step iterative scheme for two asymptotically nonexpansive nonself-mappings in a uniformly convex Banach space. Weak and strong convergence theorems are established for this iterative scheme in a uniformly convex Banach space.
Murat Ozdemir +2 more
doaj +1 more source
Iterative Schemes for Fixed Points of Relatively Nonexpansive Mappings and Their Applications
Abstract and Applied Analysis, 2010 We present two iterative schemes with errors which are proved to be strongly convergent to a common element of the set of fixed points of a countable family of relatively nonexpansive mappings and the set of fixed points of nonexpansive mappings in the ...
Somyot Plubtieng, Wanna Sriprad
doaj +1 more source
p-Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2
Abstract and Applied Analysis, 2014 We first prove characterizations of p-uniform convexity and q-uniform smoothness. We next give a formulation on absolute normalized norms on ℂ2. Using these, we present some examples of Banach spaces.
Tomonari Suzuki
doaj +1 more source
Abstract and Applied Analysis, 2013 We introduce Mann-type viscosity approximation methods for finding solutions of a multivalued variational inclusion (MVVI) which are also common ones of finitely many variational inequality problems and common fixed points of a countable family of ...
Lu-Chuan Ceng +2 more
doaj +1 more source
Locally uniformly convex Banach spaces [PDF]
Transactions of the American Mathematical Society, 1955 which we shall call local uniform convexity. Geometrically this differs from uniform convexity in that it is required that one end point of the variable chord remain fixed. In section I we prove a general theorem on the product of locally uniformly convex Banach spaces and with the aid of this theorem we establish that the two notions are actually ...
openaire +2 more sources
Separated sequences in uniformly convex Banach spaces [PDF]
Colloquium Mathematicum, 2005 We prove that the unit sphere of every infinite-dimensional uniformly convex Banach space with modulus of convexity $δ$ contains a $(1+\frac12δ(\frac23))$-separated sequence.
openaire +3 more sources
Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings
Applied General Topology, 2019 Kirk introduced the notion of pointwise eventually asymptotically non-expansive mappings and proved that uniformly convex Banach spaces have the fixed point property for pointwise eventually asymptotically non expansive maps.
M. Radhakrishnan, S. Rajesh
doaj +1 more source
The Monotone Contraction Mapping Theorem
Journal of Mathematics, 2020 In this paper, the fixed-point theorem for monotone contraction mappings in the setting of a uniformly convex smooth Banach space is studied. This paper provides a version of the Banach fixed-point theorem in a complete metric space.
Joseph Frank Gordon
doaj +1 more source
The Law of the Iterated Logarithm in Uniformly Convex Banach Spaces [PDF]
Transactions of the American Mathematical Society, 1986 We give necessary and sufficient conditions for a random variable X X with values in a uniformly convex Banach space
openaire +1 more source
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT This paper develops a mathematical framework for interpreting observations of solar inertial waves in an idealized setting. Under the assumption of purely toroidal linear waves on the sphere, the stream function of the flow satisfies a fourth‐order scalar equation.
Tram Thi Ngoc Nguyen +3 more
wiley +1 more source