NEW FIXED POINT THEOREMS FOR T_F TYPECONTRACTIVE CONDITIONS IN 2-BANACH SPACES

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DOI:

https://doi.org/10.37560/matbil18100057m

Keywords:

2-Banach spaces, fixed point, \(T_f\)-contraction

Abstract

S. Gähler ([14]), 1965, defined the term 2-normed space and A. White ([3]), 1968, defined 2-Banach spaces. In paper [12] are proven several theorems about them. The term contractive mapping in 2-normed space was defined by Hatikrishnan and K. T. Ravindran in [8] and R. Kannan ([9]) and S. K. Chatterjea ([15]) theorems are proven by M. Kir and H. Kiziltunc in [4] The further generalizations of these results are elaborated in [1], [6], [10] and [16]. In this paper will be proven several theorems about fixed point for determined types of \(T_f\)-contractive mapping in 2-Banach space.

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Published

2018-01-01

Issue

Vol. 42 No. 1 (2018): 42 (LXVIII) 1 (2018)

Section

Articles

License

Copyright (c) 2018 Matematichki Bilten

Creative Commons License

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

How to Cite

[1]
S. Malčeski, K. Anevska, and A. Malčeski, “NEW FIXED POINT THEOREMS FOR T_F TYPECONTRACTIVE CONDITIONS IN 2-BANACH SPACES”, Mat. Bilt., vol. 42, no. 1, pp. 57–64, Jan. 2018, doi: 10.37560/matbil18100057m.