- Maltepe Journal of Mathematics
- Vol: 2 Issue: 1
- Convergence of Noor, and Abbas and Nazir iteration procedures for a class of three nonlinear quasi c...
Convergence of Noor, and Abbas and Nazir iteration procedures for a class of three nonlinear quasi contractive maps in convex metric spaces
Authors : Gedala Satyanarayana, G. V. R. Babu
Pages : 14-26
View : 14 | Download : 5
Publication Date : 2020-04-30
Article Type : Research
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