Convergence of Noor, and Abbas and Nazir iteration procedures for a class of three nonlinear quasi contractive maps in convex metric spaces

Abstract

We define Noor iteration procedure and, Abbas and Nazir iteration procedure associated

with three self maps in the setting of convex metric spaces . We prove that these

iterations converge strongly to a unique common fixed point of three nonlinear quasicontractive

self maps in convex metric spaces. One of our results (Theorem 2.2) extend

the results of Sastry, Babu and Srinivasa Rao [10].

Keywords

• Convex metric space,quasi-contraction map,Noor iteration,Abbas and Nazir iteration

References

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