Existence and uniqueness of solution for quasi-equilibrium problems and fixed point problems on complete metric spaces with applications
نویسندگان
چکیده
In this paper, we presented new and important existence theorems of solution for quasi-equilibrium problems, and we show the uniqueness of its solution which is also a fixed point of some mapping. We show that this unique solution can be obtained by Picard's iteration method. We also get new minimax theorem, and existence theorems for common solution of fixed point and optimization problem on complete metric spaces. Our results are different from any existence theorems for quasi-equilibrium problems and minimax theorems in the literatures.
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عنوان ژورنال:
- J. Global Optimization
دوره 57 شماره
صفحات -
تاریخ انتشار 2013