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Iterative approximation of common fixed points of generalized nonexpansive maps in convex metric spaces

Year 2020, Volume: 4 Issue: 2, 112 - 120, 30.06.2020

Gedala Satyanarayana G. V. R. Babu

https://doi.org/10.31197/atnaa.649269

Abstract

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).

Keywords

SP-iteration procedure \alpha-nonexpansive map Suzuki nonexpansive map common fixed point \delta-convergence strong convergence uniformly convex metric space

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

Year 2020, Volume: 4 Issue: 2, 112 - 120, 30.06.2020

Gedala Satyanarayana G. V. R. Babu

https://doi.org/10.31197/atnaa.649269

Abstract

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
There are 3 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Articles
Authors

Gedala Satyanarayana

G. V. R. Babu

Publication Date June 30, 2020
Published in Issue Year 2020 Volume: 4 Issue: 2

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