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2 Fasciculi Mathematici

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Some random coupled best proximity points for a generalized ω-cyclic contraction in polish spaces

Kongban C., Kumam P.

Fasciculi Mathematici

2017

Nr 59

91--105

In this paper, we will introduce the concepts of a random coupled best proximity point and then we prove the existence of random coupled best proximity points in separable metric spaces. Our results extend the previous work of Akbar et al. [1].

On a common fixed point of two random operators using random Mann iteration scheme

Parsai R., Rathore M. S., Chandel R. S.

Fasciculi Mathematici

2009

Nr 42

85-89

In the present note, it is proved that if a random Mann iteration scheme defined by two operators is convergent under some contractive inequality the limit point is a common fixed point of each of two random operators in a Banach space.