Iterative approximation of common fixed points of generalized nonexpansive maps in convex metric spaces

Authors : Gedala SATYANARAYANA, G V R BABU

Pages : 112-120

Doi:10.31197/atnaa.649269

View : 12 | Download : 17

Publication Date : 2020-06-30

Article Type : Research Paper

Abstract :We define SP-iteration procedure associated with three self maps T1; T2; T3 defined on a nonempty convex subset of a convex metric space X and prove -convergence of this iteration procedure to a common fixed point of T1; T2; T3 under the hypotheses that each Ti is either an -nonexpansive map or a Suzuki nonexpansive map in the setting of uniformly convex metric spaces. Also, we prove the strong convergence of this iteration procedure to a common fixed point of T1; T2; T3 under certain additional hypotheses namely either semicompact or condition insert ignore into journalissuearticles values(D);.
Keywords : SP iteration procedure, alpha nonexpansive map, Suzuki nonexpansive map, common fixed point, delta convergence, strong convergence, uniformly convex metric space