Results 31 to 40 of about 400 (106)
A simulation function approach for best proximity point and variational inequality problems
, 2017 We study sufficient conditions for existence of solutions to the global optimization problem minx2A d.x;f x/; where A; B are nonempty subsets of a metric space .X;d/ and f W A! B belongs to the class of proximal simulative contraction mappings.
M. Abbas, Y. I. Suleiman, C. Vetro
semanticscholar +1 more source
On Parabolic Variational Inequalities with Multivalued Terms and Convex Functionals
Advanced Nonlinear Studies, 2018 In this paper, we consider the following parabolic variational inequality containing a multivalued term and a convex functional: Find u∈Lp(0,T;W01,p(Ω)){u\in L^{p}(0,T;W^{1,p}_{0}(\Omega))} and f∈F(⋅,⋅,u){f\in F(\cdot,\cdot,u)} such that u(⋅,0)=u0{u(\
Le Vy Khoi, Schmitt Klaus
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Adaptively relaxed algorithms for solving the split feasibility problem with a new step size
, 2014 In the present paper, we propose several kinds of adaptively relaxed iterative algorithms with a new step size for solving the split feasibility problem in real Hilbert spaces.
Haiyun Zhou, Peiyuan Wang
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Evolutionary quasi-variational and variational inequalities with constraints on the derivatives
Advances in Nonlinear Analysis, 2018 This paper considers a general framework for the study of the existence of quasi-variational and variational solutions to a class of nonlinear evolution systems in convex sets of Banach spaces describing constraints on a linear combination of partial ...
Miranda Fernando +2 more
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Halpern-type proximal point algorithm in complete CAT(0) metric spaces
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 First, Halpern-type proximal point algorithm is introduced in complete CAT(0) metric spaces. Then, Browder convergence theorem is considered for this algorithm and also we prove that Halpern-type proximal point algorithm converges strongly to a zero of ...
Heydari Mohammad Taghi, Ranjbar Sajad
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Existence and approximation of solutions for generalized extended nonlinear variational inequalities
Journal of Inequalities and Applications, 2013 In this paper, we consider a new class of generalized extended nonlinear quasi-variational inequality problems involving set-valued relaxed monotone operators and establish its equivalence with the fixed point problem.
B. Thakur, M. Postolache
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On optimal control in a nonlinear interface problem described by hemivariational inequalities
Advances in Nonlinear AnalysisThis article is devoted to the existence of optimal controls in various control problems associated with a novel nonlinear interface problem on an unbounded domain with non-monotone set-valued transmission conditions.
Gwinner Joachim
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Quasidifferentials in Kantorovich Spaces [PDF]
J. Optim. Theory Appl.,168:3, 1-19 (2016), 2014 This is an overview of the quasidifferential calculus for the mappings that arrive at Kantorovich spaces. The necessary optimality conditions are also derived for multiple criteria optimization problems with quasidifferentiable data.
arxiv +1 more source
An algorithm for a common fixed point of a family of pseudocontractive mappings
, 2013 We introduce an iterative process which converges strongly to a common fixed point of a family of Lipschitzian pseudocontractive mappings. Our theorems improve and unify most of the results that have been proved for this important class of nonlinear ...
H. Zegeye, N. Shahzad
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, 2012 In this article, we introduce iterative methods (implicit and explicit) for finding a common fixed point set of a countable family of strict pseudo-contractions, which is a unique solution of some variational inequality.
P. Sunthrayuth, Poom Kumam
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