MAGDAȘ Adrian
Contributions to fixed point theory for cyclic operators and applications

 
  MATEMATICA
   
  978‐606‐37‐1103‐9
  2021
 
  FULL E-BOOK
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SUMMARY: This book addresses an important topic of xed point theory, namely that of xed point theory for cyclic operators (singlevalued and multivalued) de ned on metric spaces, generalized metric spaces or special classes of Banach spaces. The book also studies the existence of the best proximity points for multivalued operators of cyclic type. As applications, the coupled xed point problem is considered and, in particular, a study of the existence of the solution for certain classes of systems of nonlinear integral equations is performed. Throughout the book, a special class of cyclic operators is considered, namely those who satisfy a generalized contraction condition of Ciric type.