# Random Equations and Applications to General Random Fixed Point Theorems

### From NZJM

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**New Zealand Journal of Mathematics**

**Vol.** 41, (2011), **Pages** 17-24

**Ta Ngoc Anh**

Faculty of Mathematics

Le Qui Don technical University

No 100 Hoang Quoc Viet Str.

Cau Giay dist.

Hanoi, Vietnam

**Abstract** In this paper, random operator equations are considered. Some general random fixed point theorems are obtained or extended. The concept of best random proximity points which is an extension of the notion of random fixed points is also proposed.

**Keywords** Random operator, random solution, random fixed point, random coincidence point, best random proximity point.

**Classification** (MSC2000) 47H10, 47B80, 60H25.

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