EXTENDING KANNAN AND CHATTERJEA THEOREMS IN 2-BANACH SPACES BY USING SEQUENTIALLY CONVERGENT MAPPING

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DOI:

https://doi.org/10.37560/matbil16100029m

Keywords:

2-normed spaces, 2-Banach spaces, fixed point, contraction mappings

Abstract

S. Gähler ([8]), defined a 2-normed and A. White ([1]) a 2-banach space Further, the contractive mapping in 2-normed space in [4] is defined by in P. K. Hatikrishnan, K. T. Ravindran. In [2] and [10], there are given generalizations of Kannan ([5]) and Chatterjea ([9]) fixed points theorems in 2-Banach spaces. In this paper by using sequentially convergent mappings, the results given in [2] and [10] will be generalized in 2-Banach spaces. They might also be considered as generalizations of the results given in [11].

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Published

2016-01-01

Issue

Vol. 40 No. 1 (2016): 40 (LXVI) 1 (2016)

Section

Articles

License

Copyright (c) 2016 Matematichki Bilten

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

How to Cite

[1]
A. Malčeski, A. Ibrahimi, and R. Malčeski, “EXTENDING KANNAN AND CHATTERJEA THEOREMS IN 2-BANACH SPACES BY USING SEQUENTIALLY CONVERGENT MAPPING”, Mat. Bilt., vol. 40, no. 1, pp. 29–36, Jan. 2016, doi: 10.37560/matbil16100029m.