Fixed Points Theorem of a Countable Family of I-Nonexpansive Multivalued Mappings of Modified Iteration in Banach Spaces

Authors

  • Poonam Lata Prabhakar Samrat Ashok Technological Institute, Vidisha, India.

DOI:

https://doi.org/10.9734/bpi/ctmcs/v11/11970D

Keywords:

I-Nonexpansive multi-valued mapping, Fixed point, Weak convergence, Strong convergence, Banach space, Ishikawa iteration, countable family

Abstract

In this chapter,I introduce a modified Ishikawa iteration for a countable family of multi-valued Mappings under the SC- Conditions and Condition (A). The best approximation operator to obtain weak and strong convergence of the modified Ishikawa iteration in a Banach spaces. Main results to the problem of finding a common fixed point of a countable family of I-Nonexpansive multi-valued mappings.

Published

2021-09-20

How to Cite

Poonam Lata Prabhakar. (2021). Fixed Points Theorem of a Countable Family of I-Nonexpansive Multivalued Mappings of Modified Iteration in Banach Spaces. Current Topics on Mathematics and Computer Science Vol. 11, 10–19. https://doi.org/10.9734/bpi/ctmcs/v11/11970D