Fixed Point Theorem For Weakly Inward Nonself Asymptotically Nonexpansive Mappings In Banach Spaces

Anil Rajput; Abha Tenguria; Sanchita Pandey

doi:https://doi.org/10.14445/22315373/IJMTT-V18P510

International Journal of Mathematics Trends and Technology

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Volume 18 | Number 1 | Year 2015 | Article Id. IJMTT-V18P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V18P510

Fixed Point Theorem For Weakly Inward Nonself Asymptotically Nonexpansive Mappings In Banach Spaces

Anil Rajput, Abha Tenguria, Sanchita Pandey

Abstract

In this paper, we established some weak and strong convergence theorems for common fixed points of three nonself asymptotically Banach spaces. Our results extended and improve the result announ- ed by Wang[6] [Strong and weak convergence theorems for common fixed points of nonself asymptotically nonexpansive mappings, J. Math. Anal. Appl., 323(2006)550-557.] and Wei-QiDeng, Lin Wang and Yi-Juan Chen[13] [Strong and Weak Convergence Theorems for common fixed points of two asymptotically nonexpansive mappings in Banach spaces, International Mathematical Forum, Vol. 7, 2012, no. 9, 407 – 417.

Keywords

Nonself asymptotically nonexpansive mapping, Strong and weak convergence, Common fixed point.

References

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Citation :

Anil Rajput, Abha Tenguria, Sanchita Pandey, "Fixed Point Theorem For Weakly Inward Nonself Asymptotically Nonexpansive Mappings In Banach Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 18, no. 1, pp. 58-64, 2015. Crossref, https://doi.org/10.14445/22315373/IJMTT-V18P510