Common Fixed Points Theorems of a Countable Family of λ-Demi Contractive Mappings in Banach Spaces

Namrata Tripathi; Akanksha Sharma; Kalpana Saxena

doi:https://doi.org/10.14445/22315373/IJMTT-V11P513

International Journal of Mathematics Trends and Technology

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Volume 11 | Number 2 | Year 2014 | Article Id. IJMTT-V11P513 | DOI : https://doi.org/10.14445/22315373/IJMTT-V11P513

Common Fixed Points Theorems of a Countable Family of λ-Demi Contractive Mappings in Banach Spaces

Namrata Tripathi, Akanksha Sharma, Kalpana Saxena

Abstract

The main purpose of this paper is to study an iterative Mann-type schemes to find a common fixed point of a countable family of λ-demicontractive mapping and L-Lipschitzain mappings in Banach space. We introduce a Mann type iteration procedure then, we generalized the recent result of Daruni Boonchari Satit Saejung [(1), 2010].

Keywords

Demicontractive Mapping, Banach Space, Iteration, Countable, Fixed Point and L-Lipschitzain.

References

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Citation :

Namrata Tripathi, Akanksha Sharma, Kalpana Saxena, "Common Fixed Points Theorems of a Countable Family of λ-Demi Contractive Mappings in Banach Spaces," International Journal of Mathematics Trends and Technology (IJMTT), vol. 11, no. 2, pp. 89-96, 2014. Crossref, https://doi.org/10.14445/22315373/IJMTT-V11P513