On the convergence of a finite family of contractive type mappings in CAT (0) space

Rohtash

doi:https://doi.org/10.14445/22315373/IJMTT-V48P528

International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 48 | Number 3 | Year 2017 | Article Id. IJMTT-V48P528 | DOI : https://doi.org/10.14445/22315373/IJMTT-V48P528

On the convergence of a finite family of contractive type mappings in CAT (0) space

Rohtash

Abstract

In this paper, we analyze the Mann and Ishikawa type iteration schemes for a finite family of uniformly L-Lipschizian asymptotically demicontractive mappings in CAT(0) space. Our results are the generalization of several recent results in the current literature.

Keywords

Iteration schemes, CAT (0) space, Uniformly L-Lipschizian asymptotically demicontractive mappings.

References

[1] M. Gromov, “Hyperbolic groups,” in Essays in Group Theory, vol. 8 of Publications of the Research Institute for Mathematical Sciences, pp. 75–263, Springer, New York, NY, USA, 1987.
[2] M. R. Bridson and A. Haefliger, Metric Spaces of Non-Positive Curvature, Springer, Berlin, Germany, 1999.
[3] D. Burago, Y. Burago, and S. Ivanov, A Course in Metric Geometry, vol. 33 of Graduate Studies in Mathematics, American Mathematical Society, Providence, RI, USA, 2001.
[4] W. A. Kirk, “Fixed point theorems in CAT(0) spaces and

Citation :

Rohtash, "On the convergence of a finite family of contractive type mappings in CAT (0) space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 48, no. 3, pp. 203-208, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V48P528