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

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• 作者：Ouayl Chadli ; Qamrul Hasan Ansari…
• 关键词：Mixed equilibrium problems ; Evolution equations ; Anti ; periodic solutions ; Maximal monotone operators ; Pseudomonotone operators ; Quasimonotone operators ; Nonmonotone perturbations ; 49J40 ; 49K40 ; 90C31 ; 34B10 ; 24B15
• 刊名：Journal of Optimization Theory and Applications
• 出版年：2016
• 出版时间：February 2016
• 年：2016
• 卷：168
• 期：2
• 页码：410-440
• 全文大小：590 KB
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• 作者单位：Ouayl Chadli (1)
  Qamrul Hasan Ansari (2) (3)
  Jen-Chih Yao (4) (5)
  
  1. Department of Economics, Faculty of Economics and Social Sciences, Ibn Zohr University, B.P. 8658 Poste Dakhla, Agadir, Morocco
  2. Department of Mathematics, Aligarh Muslim University, Aligarh, 202 002, India
  3. Department of Mathematics and Statistics, King Fahd University of Petroleum and Minerals, Dhahran, Saudi Arabia
  4. Center for General Education, China Medical University, Taichung, 40402, Taiwan
  5. Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
  
• 刊物主题：Calculus of Variations and Optimal Control; Optimization; Optimization; Theory of Computation; Applications of Mathematics; Engineering, general; Operations Research/Decision Theory;
• 出版者：Springer US
• ISSN：1573-2878

文摘

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. Keywords Mixed equilibrium problems Evolution equations Anti-periodic solutions Maximal monotone operators Pseudomonotone operators Quasimonotone operators Nonmonotone perturbations