On mean value iterations with application to variational inequality problems
In this report, we show that in a Hilbert space, a mean value iterative process generated by a continuous quasi-nonexpansive mapping always converges to a fixed point of the mapping without any precondition. We then employ this result to obtain approximating solutions to the variational inequality and the generalized complementarity problems. 7 refs.
- Research Organization:
- Stanford Univ., CA (USA). Dept. of Operations Research
- Sponsoring Organization:
- USDOD; DOE/ER; National Science Foundation (NSF)
- DOE Contract Number:
- FG03-87ER25028
- OSTI ID:
- 5173143
- Report Number(s):
- SOL-89-18; ON: DE90005556; CNN: N00014-89-J-1659; DMS 8913089
- Country of Publication:
- United States
- Language:
- English
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