A Common Fixed Point Theorem Using an Iterative Method
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.The formula is not displayed correctly!
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