Mixed Equilibrium Problems and Anti-periodic Solutions for Nonlinear Evolution Equations

By using some new developments in the theory of equilibrium problems, we study the existence of anti-periodic solutions for nonlinear evolution equations associated with time-dependent pseudomonotone and quasimonotone operators in the topological sense. More precisely, we establish new existence res...

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Vydáno v:Journal of optimization theory and applications Ročník 168; číslo 2; s. 410 - 440
Hlavní autoři: Chadli, Ouayl, Ansari, Qamrul Hasan, Yao, Jen-Chih
Médium: Journal Article
Jazyk:angličtina
Vydáno: New York Springer US 01.02.2016
Springer Nature B.V
Témata:
Applications of Mathematics
Banach space
Banach spaces
Calculus of Variations and Optimal Control; Optimization
Engineering
Equilibrium
Game theory
Mathematical models
Mathematics
Mathematics and Statistics
Nonlinear equations
Nonlinear evolution equations
Operations Research/Decision Theory
Operators
Optimization
Studies
Theory of Computation
Topology
90C31
Quasimonotone operators
Nonmonotone perturbations
Mixed equilibrium problems
Evolution equations
Maximal monotone operators
49K40
Pseudomonotone operators
49J40
34B10
Anti-periodic solutions
24B15
ISSN:0022-3239, 1573-2878
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Popis
Shrnutí:By using some new developments in the theory of equilibrium problems, we study the existence of anti-periodic solutions for nonlinear evolution equations associated with time-dependent pseudomonotone and quasimonotone operators in the topological sense. More precisely, we establish new existence results for mixed equilibrium problems associated with pseudomonotone and quasimonotone bifunctions in the topological sense. The results obtained are therefore applied to study the existence of anti-periodic solutions for nonlinear evolution equations in the setting of reflexive Banach spaces. This new approach leads us to improve and unify most of the recent results obtained in this direction.
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ISSN:0022-3239
1573-2878
DOI:10.1007/s10957-015-0707-y