On solving split best proximity point and equilibrium problems in Hilbert spaces


 Tiammee, Jukrapong and Suantai, Suthep 


Abstract

carpathian_2019_35_3_385_392_abstract

In this paper, we introduce a split best proximity point and equilibrium problem, and find a solution of the best proximity point problem such that its image under a given bounded linear operator is a solution of the equilibrium problem. We construct an iterative algorithm to solve such problem in real Hilbert spaces and obtain a weak convergence theorem. Finally, we also give an example to illustrate our result.

Additional Information

Author(s)

 Tiammee, Jukrapong, Suantai, Suthep