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

Year 2020, Volume: 2 Issue: 1, 14 - 26, 30.04.2020

Gedala Satyanarayana , G. V. R. Babu

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

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