Results 71 to 80 of about 498,513 (254)
Convergence theorems for generalized nonexpansive mappings in uniformly convex Banach spaces
, 2015 In this paper, we prove strong and weak convergence theorems for a mapping defined on a bounded, closed and convex subset of a uniformly convex Banach space, satisfying the RCSC condition. This condition was introduced by Karapınar (Dynamical Systems and
Dipti Thakur, B. Thakur, M. Postolache
semanticscholar +1 more source
An alternating procedure for operators on uniformly convex and uniformly smooth Banach spaces [PDF]
Proceedings of the American Mathematical Society, 1991 let X be a real uniformly convex and uniformly smooth Banach space.
Zong Ben Xu, G. F. Roach
openaire +1 more source
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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Journal of Applied Econometrics, EarlyView.ABSTRACT This paper introduces a generalized model of peer effects for binary outcomes, based on a network game that accounts for strategic complementarity (influence of the number of peers that select the same action) and conformity to social norms (penalizing deviations from the average peers' action).
Mathieu Lambotte
wiley +1 more source
Existence and regularity for integro‐differential free transmission problem
Bulletin of the London Mathematical Society, EarlyView.Abstract We study an integro‐differential free transmission problem associated with the Bellman–Isaacs‐type operator that is solution‐dependent. The existence of a viscosity solution is proved by constructing solutions of suitable auxiliary problems for such a nonlocal problem.
Sun‐Sig Byun, Seunghyun Kim
wiley +1 more source
Manifolds of semi-negative curvature [PDF]
, 2010 This paper studies the metric structure of manifolds of semi-negative curvature. Explicit estimates on the geodesic distance and sectional curvature are obtained in the setting of homogeneous spaces G/K of Banach–Lie groups, and a characterization of ...
Conde, Cristian Marcelo +1 more
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Mathematical Methods in the Applied Sciences, Volume 48, Issue 8, Page 8793-8805, 30 May 2025.ABSTRACT We study a class of models for nonlinear acoustics, including the well‐known Westervelt and Kuznetsov equations, as well as a model of Rasmussen that can be seen as a thermodynamically consistent modification of the latter. Using linearization, energy estimates, and fixed‐point arguments, we establish the existence and uniqueness of solutions ...
Herbert Egger, Marvin Fritz
wiley +1 more source
, 2013 An existence theorem for a fixed point of an α-nonexpansive mapping of a nonempty bounded, closed and convex subset of a uniformly convex Banach space has been recently established by Aoyama and Kohsaka with a non-constructive argument. In this paper, we
E. Naraghirad, N. Wong, Jen-Chih Yao
semanticscholar +1 more source
Abstract 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
Nonlinear Ergodic Theorems for Semigroups of Non-Lipschitzian Mappings in Banach Spaces II [PDF]
, 2001 Let C be a nonempty closed convex subset of a uniformly convex Banach space, and let S = {T(t); t ≥ 0} be a nonlinear semigroup of non-Lipschitzian mappings on C which is asymptotically nonexpansive in the intermediate sense. In this paper we study
Miyadera, Isao
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