Abstract

ABSTRACT We prove results concerning data dependence of Noor and SP iterative schemes using certain quasi-contractive operators in real Banach spaces. Our results reveal that by choosing an approximate quasi-contractive operator (for which it is possible to compute the fixed point); we can approximate the fixed point of the given operator. An example is also provided to explain the validity of our results. General Terms Computational Mathematics D Keywords SP iteration, Noor iteration, Quasi-Contractive Operators 1. INTRODUCTION Let E be a real Banach space and B be a nonempty closed, convex subset of E . Let T, S be two self operators on B . In a complete metric space, the Picard iterative process ^ ` n n 0 x f defined by 1 x Tx nn 1 n = 0, 1,… (1.1) has been employed to approximate the fixed points of mappings satisfying the inequality d Tx Ty d x y ( , ) ( , )dD 0 (1.2) for all

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