A Modified Inertial Shrinking Projection Method for Solving Inclusion Problems and Split Equilibrium Problems in Hilbert Spaces

Authors

  • Watcharaporn Cholamjiak School of Science, University of Phayao, Phayao 56000
  • Suhel Ahmad Khan Department of Mathematics, BITS-Pilani, Dubai Campus, P.O. Box 345055, Dubai
  • Suthep Suantai Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200

DOI:

https://doi.org/10.26713/cma.v10i2.1074

Keywords:

Inertial method, Inclusion problem, SP-iteration, Forward-backward algorithm, Split equilibrium problem

Abstract

In this paper, we propose a modified inertial forward-backward splitting method for solving the split equilibrium problem and the inclusion problem. Then we establish the weak convergence theorem of the proposed method. Using the shrinking projection method, we obtain strong convergence theorem. Moreover, we provide some numerical experiments to show the efficiency and the comparison.

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Author Biographies

Watcharaporn Cholamjiak, School of Science, University of Phayao, Phayao 56000

Mathematics

Suhel Ahmad Khan, Department of Mathematics, BITS-Pilani, Dubai Campus, P.O. Box 345055, Dubai

Mathematics

Suthep Suantai, Department of Mathematics, Faculty of Science, Chiang Mai University, Chiang Mai 50200

Mathematics

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Published

30-06-2019
CITATION

How to Cite

Cholamjiak, W., Khan, S. A., & Suantai, S. (2019). A Modified Inertial Shrinking Projection Method for Solving Inclusion Problems and Split Equilibrium Problems in Hilbert Spaces. Communications in Mathematics and Applications, 10(2), 191–213. https://doi.org/10.26713/cma.v10i2.1074

Issue

Vol. 10 No. 2 (2019)

Section

Research Article

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