### On a Convergence Theorem for the General Noor Iteration Process in Uniformly Smooth Banach Spaces

#### Abstract

In this paper, two different classes of mappings namely, uniformly continuous asymptotically nonexpansive and uniformly continuous asymptotically demicontractive mappings are considered on the general modified Noor iteration process with errors and proved to converge strongly to the fixed point of uniformly continuous asymptotically demicontractive mappings in uniformly smooth Banach spaces. The new result can be viewed as an improvement to a multitude of results in the fixed point theory especially those of Xu and Noor [8], Owojori and Imoru [5] and also the results of Owojori [6].

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DOI: http://dx.doi.org/10.26713%2Fjims.v12i2.1333

eISSN 0975-5748; pISSN 0974-875X