Results 41 to 50 of about 620,162 (191)

Solving 1D Conservation Laws Using Pontryagin's Minimum Principle [PDF]

, 2016
This paper discusses a connection between scalar convex conservation laws and Pontryagin's minimum principle. For flux functions for which an associated optimal control problem can be found, a minimum value solution of the conservation law is proposed ...
Kang, Wei, Wilcox, Lucas C.
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Browder's Fixed Point Theorem and Some Interesting Results in Intuitionistic Fuzzy Normed Spaces

Fixed Point Theory and Applications, 2010
We define and study Browder's fixed point theorem and relation between an intuitionistic fuzzy convex normed space and a strong intuitionistic fuzzy uniformly convex normed space.
Cancan M
doaj  

Manifolds of semi-negative curvature

, 2008
The notion of nonpositive curvature in Alexandrov's sense is extended to include p-uniformly convex Banach spaces. Infinite dimensional manifolds of semi-negative curvature with a p-uniformly convex tangent norm fall in this class on nonpositively curved
Conde, Cristian, Larotonda, Gabriel
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Existence Results of best Proximity Pairs for a Certain Class of Noncyclic Mappings in Nonreflexive Banach Spaces Polynomials

پژوهش‌های ریاضی, 2018
Introduction Let  be a nonempty subset of a normed linear space . A self-mapping  is said to be nonexpansive provided that  for all . In 1965, Browder showed that every nonexpansive self-mapping defined on a nonempty, bounded, closed and convex subset of
Moosa Gabeleh
doaj  

Convergence Theorems for Maximal Monotone Operators, Weak Relatively Nonexpansive Mappings and Equilibrium Problems

Journal of Applied Mathematics, 2012
We introduce hybrid-iterative schemes for solving a system of the zero-finding problems of maximal monotone operators, the equilibrium problem, and the fixed point problem of weak relatively nonexpansive mappings. We then prove, in a uniformly smooth and
Kamonrat Nammanee, Suthep Suantai, Prasit Cholamjiak   +2 more
doaj   +1 more source

Browder’s Convergence Theorem for Multivalued Mappings in Banach Spaces without the Endpoint Condition

Abstract and Applied Analysis, 2020
We prove Browder’s convergence theorem for multivalued mappings in a uniformly convex Banach space with a uniformly Gâteaux differentiable norm by using the notion of diametrically regular mappings.
Thanomsak Laokul
doaj   +1 more source

Compression functions of uniform embeddings of groups into Hilbert and Banach spaces [PDF]

, 2017
We construct finitely generated groups with arbitrary prescribed Hilbert space compression α ∈ [0, 1]. This answers a question of E. Guentner and G. Niblo.
Arzhantseva, Goulnara, Druţu, Cornelia, Sapir, Mark   +2 more
core  

Fixed point iteration for asymptotically quasi-nonexpansive mappings in Banach spaces

International Journal of Mathematics and Mathematical Sciences, 2005
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. In this paper, we introduce the three-step iterative scheme for such map with error members. Moreover,
Somyot Plubtieng, Rabian Wangkeeree
doaj   +1 more source

Strong Convergence to Common Fixed Points of Countable Relatively Quasi-Nonexpansive Mappings

Fixed Point Theory and Applications, 2008
We prove that a sequence generated by the monotone CQ-method converges strongly to a common fixed point of a countable family of relatively quasi-nonexpansive mappings in a uniformly convex and uniformly smooth Banach space. Our result is applicable to a
Satit Saejung, Weerayuth Nilsrakoo
doaj   +2 more sources

On Fixed Point Property under Lipschitz and Uniform Embeddings

Journal of Function Spaces, 2018
We first present a generalization of ω⁎-Gâteaux differentiability theorems of Lipschitz mappings from open sets to those closed convex sets admitting nonsupport points and then show that every nonempty bounded closed convex subset of a Banach space has ...
Jichao Zhang, Lingxin Bao, Lili Su
doaj   +1 more source