Results 41 to 50 of about 434 (146)

Topological degree and application to a parabolic variational inequality problem

International Journal of Mathematics and Mathematical Sciences, Volume 25, Issue 4, Page 273-287, 2001., 2001
We are interested in constructing a topological degree for operators of the form F = L + A + S, where L is a linear densely defined maximal monotone map, A is a bounded maximal monotone operators, and S is a bounded demicontinuous map of class (S+) with respect to the domain of L.
A. Addou, B. Mermri
wiley   +1 more source

A G‐KKM type theorem and its applications to minimax inequalities on G‐convex spaces

International Journal of Stochastic Analysis, Volume 11, Issue 4, Page 493-505, 1998., 1998
A G‐KKM type theorem is obtained on G‐convex spaces. As application, a generalization of Ky Fan′s minimax inequality to non‐compact sets on G‐convex spaces is first obtained. As special cases of this minimax inequality, some new minimax inequalites are obtained. Four fixed point theorems and four equivalent formulations of the second minimax inequality
Mohammad S. R. Chowdhury
wiley   +1 more source

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

Eigenvalues and ranges for perturbations of nonlinear accretive and monotone operators in Banach spaces

Abstract and Applied Analysis, Volume 2, Issue 3-4, Page 197-205, 1997., 1997
Various eigenvalue and range results are given for perturbations of m‐accretive and maximal monotone operators. The eigenvalue results improve and extend some recent results by Guan and Kartsatos, while the range theorem gives an affirmative answer to a recent problem of Kartsatos.
Zhou Haiyun, Athanassios G. Kartsatos
wiley   +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
semanticscholar   +1 more source

Mixed invex equilibrium problems with generalized relaxed monotone and relaxed invariant pseudomonotone mappings

, 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

Strong convergence theorems by hybrid projection methods for equilibrium problems and fixed point problems of the asymptotically quasi-ϕ-nonexpansive mappings

, 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

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

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, Jong Yeoul Park, Hong Jae Kang   +2 more
wiley   +1 more source