MODIFIED MULTISTEP ITERATION FOR APPROXIMATING A GENERAL CLASS OF FUNCTIONS IN LOCALLY CONVEX SPACES
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In this paper, we study the convergence of modi�ed multistep iteration
and use the scheme to approximate the �xed point of a general class of functions
introduced by Bosede and Rhoades [5] in a complete metrisable locally convex
space. As corollaries, the convergence results for SP and Mann iterations are also
established. Moreover, most convergence results in Banach spaces are generalized to
complete metrisable locally convex spaces. Our convergence results generalize and
extend the results of Berinde [2], Olaleru [11], Phuengrattana and Suantai [13],
Ra�q [14] among others.
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QA Mathematics