Results 31 to 40 of about 988 (114)
, 2020 In this paper, we introduce generalized relaxed monotone mappings and relaxed invariant pseudomonotone mappings for bi-functions. By using KKM technique, we establish certain existence results for mixed invex equilibrium problems with the generalized ...
B. Sahu, S. Pani, R. Mohapatra
semanticscholar +1 more source
The fixed point index for accretive mapping with K—set contraction perturbation in cones
International Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 2, Page 287-290, 1996., 1994 Let P be cone Banach space E, A, K are two mappings in P, A accretive, K is K—set contraction, then fixed point index defined for mapping −A + K, some fixed point theorems are also deduced.
Yu-Qing Chen
wiley +1 more source
On the linear convergence of the stochastic gradient method with constant step-size [PDF]
, 2018 The strong growth condition (SGC) is known to be a sufficient condition for linear convergence of the stochastic gradient method using a constant step-size $\gamma$ (SGM-CS).
Cevher, Volkan, Vu, Bang Cong
core +2 more sources
Iterative algorithms with errors for zero points of m-accretive operators
, 2013 In this paper, we study the convergence of paths for continuous pseudocontractions in a real Banach space. As an application, we consider the problem of finding zeros of m-accretive operators based on an iterative algorithm with errors.
X. Qin, S. Cho, Lin Wang
semanticscholar +1 more source
A strong comparison principle for positive solutions of degenerate elliptic equations
Differential and Integral Equations, 2000 A strong comparison principle (SCP, for brevity) is obtained for nonnegative weak solutions u ∈ W 1,p 0 (Ω) of the following class of quasilinear elliptic boundary value problems, (P ) −div(a(x,∇u))− b(x, u) = f(x) in Ω; u = 0 on ∂Ω. Here, p ∈ (1,∞) is a
M. Cuesta, P. Takáč
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Iterative solution of unstable variational inequalities on approximately given sets
Abstract and Applied Analysis, Volume 1, Issue 1, Page 45-64, 1996., 1996 The convergence and the stability of the iterative regularization method for solving variational inequalities with bounded nonsmooth properly monotone (i.e., degenerate) operators in Banach spaces are studied. All the items of the inequality (i.e., the operator A, the “right hand side” f and the set of constraints Ω) are to be perturbed. The connection
Y. I. Alber, A. G. Kartsatos, E. Litsyn
wiley +1 more source
Semilinear systems with a multi-valued nonlinear term
Open Mathematics, 2017 Introducing a topological degree theory, we first establish some existence results for the inclusion h ∈ Lu − Nu in the nonresonance and resonance cases, where L is a closed densely defined linear operator on a Hilbert space with a compact resolvent and ...
Kim In-Sook, Hong Suk-Joon
doaj +1 more source
Asymptotic behavior of solutions of nonlinear functional differential equations
International Journal of Mathematics and Mathematical Sciences, Volume 17, Issue 4, Page 703-712, 1994., 1994 Using the properties of almost nonexpansive curves introduced by B. Djafari Rouhani, we study the asymptotic behavior of solutions of nonlinear functional differential equation du(t)/dt + Au(t) + G(u)(t)?f(t), where A is a maximal monotone operator in a Hilbert space H, f?L1(0, 8 : H) and is a given mapping.
Jong Soo Jung +2 more
wiley +1 more source
, 2011 We consider a hybrid projection method for finding a common element in the fixed point set of an asymptotically quasi-ϕ-nonexpansive mapping and in the solution set of an equilibrium problem. Strong convergence theorems of common elements are established
J. Kim
semanticscholar +1 more source
Nonlinear random operator equations and inequalities in Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 15, Issue 1, Page 111-118, 1992., 1990 In this paper we give some new existence theorems for nonlinear random equations and inequalities involving operators of monotone type in Banach spaces. A random Hammerstein integral equation is also studied. In order to obtain random solutions we use some results from the existing deterministic theory as well as from the theory of measurable ...
Antonios Karamolegos +1 more
wiley +1 more source