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    STUDIA MATHEMATICA - Issue no. 2 / 2021  
         
  Article:   NONLINEAR SYSTEMS WITH A PARTIAL NASH TYPE EQUILIBRIUM.

Authors:  ANDREI STAN.
 
       
         
  Abstract:  
DOI: 10.24193/subbmath.2021.2.14

Published Online: 2021-06-15
Published Print: 2021-06-30
pp. 397-408

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In this paper fixed point arguments and a critical point technique are combined leading to hybrid existence results for a system of three operator equations where only two of the equations have a variational structure. The components of the solution which are associated to the equations having a variational form represent a Nash-type equilibrium of the corresponding energy functionals. The result is achieved by an iterative scheme based on Ekeland’s variational principle.

Mathematics Subject Classification (2010): 47H10, 47J30, 34C25.

Keywords: Nash-type equilibrium, Perov contraction, Ekeland variational principle, periodic solution.
 
         
     
         
         
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