"An Algorithms to search Common Fixed Point of Nonexpansive mapping by iterative Technique"


Vivek Tiwari, Assistant professor
Department of Computer Science Sharda Mahavidyalya Sarlanagar, Maihar Satna (M.P.), India.

 Shiv Kumar Patel, Research Scholar
Govt. Model Science College Rewa (M.P.), India.

D.P. Shukla, Professor & Head
Department of Mathematics/Computer Science Govt. Model Science College, Rewa (M.P.), India.


In this paper, we established a new iterative technique by the help of Siteration technique and modified S-iteration technique. This technique is very fruitful for increasing the rate of convergence, after that we will prove the theorem of convergence of a sequence by our newly iterative technique, to determine a common fixed point in a Banach space under Nonexpansive mapping. MSC: 47H04; 54H25