Iterative approximation of common fixed points of generalized nonexpansive maps in convex metric spaces
Keywords:
SP-iteration procedure, \alpha-nonexpansive map, Suzuki nonexpansive map, common fixed point, \delta-convergence, strong convergence, uniformly convex metric spaceAbstract
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 (D).
References
Prof. Binayak S. Choudhury,Department of Mathematics,Bengal Engineering and Science University,Shibur, P. O.- B. Garden, Shibpur,West Bengal, India.E-mail: binayak12@yahoo.co.in
Prof. H. K. Pathak,School of studies in Mathematics,Pt. Ravishankar Shukla University,Chattisgarh, India.E-mail: hkpathak05@gmail.com
Prof. P. P. Murthy,Department of Pure and Applied Mathematics,Guru Ghasi Das University,Chattisgarh, India.E-mail: ppmurthy@gmail.com
