Results 31 to 40 of about 4,222,348 (161)

p-Uniform Convexity and q-Uniform Smoothness of Absolute Normalized Norms on ℂ2

open access: yesAbstract 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

Approximation of the fixed points of quasi-nonexpansive mappings in a uniformly convex Banach space [PDF]

open access: yes, 1992
In a uniformly convex Banach space, the convergence of Ishikawa iterates to a unique fixed point is proved for quasi-nonexpansive mappings under certain ...
Ghosh, M.K.   +4 more
core   +2 more sources

Mann-Type Viscosity Approximation Methods for Multivalued Variational Inclusions with Finitely Many Variational Inequality Constraints in Banach Spaces

open access: yesAbstract 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

The Monotone Contraction Mapping Theorem

open access: yesJournal 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

Existence ofixed points for pointwise eventually asymptotically nonexpansive mappings

open access: yesApplied 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

Sesquilinear quantum stochastic analysis in Banach space [PDF]

open access: yes, 2014
A theory of quantum stochastic processes in Banach space is initiated. The processes considered here consist of Banach space valued sesquilinear maps.
Lindsay, Martin   +2 more
core   +4 more sources

Weak convergence and weak compactness for multifunctions with values in a separable Banach space [PDF]

open access: yes, 1990
In this paper we extend the notion of weak convergence to Banach space valued integrable multifunctions. We prove some properties of this mode of convergence and we show that under certain hypotheses the space of uniformly bounded, w w ...
Papageorgiou, N   +1 more
core   +1 more source

Mann-Type Extragradient Methods for General Systems of Variational Inequalities with Multivalued Variational Inclusion Constraints in Banach Spaces

open access: yesAbstract and Applied Analysis, 2013
We introduce Mann-type extragradient methods for a general system of variational inequalities with solutions of a multivalued variational inclusion and common fixed points of a countable family of nonexpansive mappings in real smooth Banach spaces.
Lu-Chuan Ceng   +2 more
doaj   +1 more source

Convergence of an Iterative Algorithm for Common Solutions for Zeros of Maximal Accretive Operator with Applications

open access: yesJournal of Applied Mathematics, 2012
The aim of this paper is to introduce an iterative algorithm for finding a common solution of the sets (A+M2)−1(0) and (B+M1)−1(0), where M is a maximal accretive operator in a Banach space and, by using the proposed algorithm, to establish some strong ...
Uamporn Witthayarat   +2 more
doaj   +1 more source

Application of a New Class of Characteristic Function

open access: yesJournal of Harbin University of Science and Technology, 2021
In Banach space,considering introducing a new class of real characteristic functions fx + ty ( y) and fx + ty ( y) ,the independent variable is t,and the domain is [0,+ ∞ ) ,and the corresponding properties of those new characteristic functions are used ...
ZHAO Liang, HAN Zhao-yang
doaj   +1 more source

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