Results 21 to 30 of about 60 (59)
Demonstratio Mathematica, 2018 In this paper, we introduce and study a new system of variational inclusions which is called a system of nonlinear implicit variational inclusion problems with A-monotone and H-monotone operators in semi-inner product spaces.
Kim Jong Kyu, Bhat Muhammad Iqbal
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Bounded solutions of nonlinear Cauchy problems
Abstract and Applied Analysis, Volume 7, Issue 12, Page 637-661, 2002., 2002 For a given closed and translation invariant subspace Y of the bounded and uniformly continuous functions, we will give criteria for the existence of solutions u ∈ Y to the equation u′(t) + A(u(t)) + ωu(t)∍f(t), t ∈ ℝ, or of solutions u asymptotically close to Y for the inhomogeneous differential equation u′(t) + A(u(t)) + ωu(t)∍f(t), t > 0, u(0) = u0,
Josef Kreulich
wiley +1 more source
More general common fixed point theorems under a new concept
Demonstratio Mathematica, 2016 A general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this result is thereby obtained. Our results assert the
Bouhadjera H.
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Iterative solutions of K‐positive definite operator equations in real uniformly smooth Banach spaces
International Journal of Mathematics and Mathematical Sciences, Volume 27, Issue 3, Page 155-160, 2001., 2001 Let X be a real uniformly smooth Banach space and let T : D(T)⫅X → X be a K‐positive definite operator. Under suitable conditions we establish that the iterative method by Bai (1999) converges strongly to the unique solution of the equation Tx = f, f ∈ X.
Zeqing Liu +2 more
wiley +1 more source
On the strongly damped wave equation and the heat equation with mixed boundary conditions
Abstract and Applied Analysis, Volume 5, Issue 3, Page 175-189, 2000., 2000 We study two one‐dimensional equations: the strongly damped wave equation and the heat equation, both with mixed boundary conditions. We prove the existence of global strong solutions and the existence of compact global attractors for these equations in two different spaces.
Aloisio F. Neves
wiley +1 more source
A‐properness and fixed point theorems for dissipative type maps
Abstract and Applied Analysis, Volume 4, Issue 2, Page 83-100, 1999., 1999 We obtain new A‐properness results for demicontinuous, dissipative type mappings defined only on closed convex subsets of a Banach space X with uniformly convex dual and which satisfy a property called weakly inward. The method relies on a new property of the duality mapping in such spaces.
K. Q. Lan, J. R. L. Webb
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Modified inertia Halpern method for split null point problem in Banach spaces [PDF]
In this paper, we study split null point problem in reflexive Banach spaces. Using the Bregman technique together with a modified inertial Halpern method, we approximate a solution of split null point problem.
ABASS, Hammed Anuoluwapo +2 more
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A golden ratio technique for equilibrium problem in reflexive Banach spaces
Demonstratio MathematicaIn this article, we present a self-adaptive subgradient extragradient method for approximating solutions of equilibrium problems with pseudomonotone and Lipschitz type bifunctions in the context of reflexive Banach spaces.
Abass Hammed A. +3 more
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Regularity of set-valued maps and their selections through set differences. Part 2: One-sided Lipschitz properties [PDF]
, 2013 We introduce one-sided Lipschitz (OSL) conditions of setvalued maps with respect to given set differences. The existence of selections of such maps that pass through any point of their graphs and inherit uniformly their OSL constants is studied.
Baier, Robert, Farkhi, Elza
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Ishikawa-type Iterative Solution of m−Accretive Operator Equation and its Stability in Arbitrary Banach Spaces [PDF]
, 2013 Let X be a Banach space. Suppose that A : X → X is a Lipschitz accretive operator and x+Ax = f is a nonlinear equation. The objective of this note is to discuss simultaneously the existence and uniqueness of solution of the equation, its convergence ...
Tao Wang, Xian Li, Yuguang Xu, Zuhua Liu
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