A new strong convergence Theorem for Lipschitzian strongly pseudocontractive Mappings in a real Banach space

Ashish Nandal; Renu Chugh

doi:https://doi.org/10.14445/22315373/IJMTT-V41P520

International Journal of Mathematics Trends and Technology

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Volume 41 | Number 2 | Year 2017 | Article Id. IJMTT-V41P520 | DOI : https://doi.org/10.14445/22315373/IJMTT-V41P520

A new strong convergence Theorem for Lipschitzian strongly pseudocontractive Mappings in a real Banach space

Ashish Nandal, Renu Chugh

Abstract

In this paper we prove the strong convergence of a new iteration scheme to a common fixed point of a finite family of Lipschitz strongly pseudocontractive mappings in a real Banach space. Result proved in this paper represents an extension and refinement of the previously known results in this area.

Keywords

Iteration scheme, strongly pseudocontractive maps, L- Lipschitzian maps, Banach spaces.

References

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Citation :

Ashish Nandal, Renu Chugh, "A new strong convergence Theorem for Lipschitzian strongly pseudocontractive Mappings in a real Banach space," International Journal of Mathematics Trends and Technology (IJMTT), vol. 41, no. 2, pp. 205-209, 2017. Crossref, https://doi.org/10.14445/22315373/IJMTT-V41P520