An iterative technique for solving split equality monotone variational inclusion and fixed point problems. (English) Zbl 1519.47089
Summary: The purpose of this paper is to introduce an iterative algorithm for approximating the solution of the split equality monotone variational inclusion problem (SEMVIP) for monotone operators, which is also a solution of the split equality fixed point problem (SEFPP) for strictly pseudocontractive maps in real Hilbert spaces. We establish the strong convergence of the sequence generated by our iterative algorithm. Our result complements and extends some related results in literature.
MSC:
| 47J25 | Iterative procedures involving nonlinear operators |
| 47J40 | Equations with nonlinear hysteresis operators |
| 90C25 | Convex programming |
| 90C52 | Methods of reduced gradient type |
Keywords:
split equality monotone variational inclusion problem; strictly pseudocontractive mapping; maximal monotone mapping; inverse strongly monotone mapping; resolvent mapping; iterative algorithm; strong convergenceReferences:
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