In this paper, we prove the existence of COMMON FIXED POINT for mappings defined on complete metric spaces with w-distance p satisfying a general contractive inequality of type integral.

In this paper we consider the so called a vector metric space, which is a gener- alization of metric space, where the metric is Riesz space valued. We prove some COMMON FIXED POINT theorems for three mappings in this space. Obtained results extend and generalize well-known comparable results in the literature.

In this work we review some COMMON FIXED POINT theorems for four non-continuous mappings in ɛ,-metric spaces, where the metric is Riesz space valued. These results cover famous comparable results in the existing literature by considering fewer conditions.

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Let $ H$ be a Hilbert space and $C$ be a closed, convex and nonempty subset of $H$. Let $T:C \rightarrow H$ be a non-self and non-expansive mapping. V. Colao and G. Marino with particular choice of the sequence  $\{\alpha_{n}\}$ in Krasonselskii-Mann algorithm, ${x}_{n+1}={\alpha}_{n}{x}_{n}+(1-{\alpha}_{n})T({x}_{n}),$ proved both weak and strong converging results. In this paper, we generalize their algorithm and result, imposing some conditions upon the set $C$ and finite many mappings from $C$ in to $H$, to obtain a converging sequence to a COMMON FIXED POINT for these non-self and non-expansive mappings.