TY  - JOUR
T1  - Iterative approximation of common fixed points of generalized nonexpansive maps in convex metric spaces
AU  - Babu, G. V. R.
AU  - Satyanarayana, Gedala
PY  - 2020
DA  - June
DO  - 10.31197/atnaa.649269
JF  - Advances in the Theory of Nonlinear Analysis and its Application
JO  - ATNAA
PB  - Erdal KARAPINAR
WT  - DergiPark
SN  - 2587-2648
SP  - 112
EP  - 120
VL  - 4
IS  - 2
LA  - en
AB  - We define SP-iteration procedure associated with three self maps T1; T2; T3 definedon a nonempty convex subset of a convex metric space X and prove -convergence ofthis iteration procedure to a common fixed point of T1; T2; T3 under the hypotheses thateach Ti is either an -nonexpansive map or a Suzuki nonexpansive map in the settingof uniformly convex metric spaces. Also, we prove the strong convergence of this iterationprocedure to a common fixed point of T1; T2; T3 under certain additional hypothesesnamely either semicompact or condition (D).
KW  - SP-iteration procedure
KW  - \alpha-nonexpansive map
KW  - Suzuki nonexpansive map
KW  - common fixed point
KW  - \delta-convergence
KW  - strong convergence
KW  - uniformly convex metric space
CR  - 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
CR  - Prof. H. K. Pathak,School of studies in Mathematics,Pt. Ravishankar Shukla University,Chattisgarh, India.E-mail: hkpathak05@gmail.com
CR  - Prof. P. P. Murthy,Department of Pure and Applied Mathematics,Guru Ghasi Das University,Chattisgarh, India.E-mail: ppmurthy@gmail.com
UR  - https://doi.org/10.31197/atnaa.649269
L1  - http://dergipark.org.tr/tr/download/article-file/1071497
ER  -