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On Common Fixed Points of Mappings in Hilbert Spaces
Kalishankar Tiwary1 , Chandan Kamelia2 , Biplab Kumar Bag3
Section:Research Paper, Product Type: Journal-Paper
Vol.6 ,
Issue.4 , pp.100-103, Aug-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i4.100103
Online published on Aug 31, 2019
Copyright © Kalishankar Tiwary, Chandan Kamelia, Biplab Kumar Bag . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: Kalishankar Tiwary, Chandan Kamelia, Biplab Kumar Bag, “On Common Fixed Points of Mappings in Hilbert Spaces,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.4, pp.100-103, 2019.
MLA Style Citation: Kalishankar Tiwary, Chandan Kamelia, Biplab Kumar Bag "On Common Fixed Points of Mappings in Hilbert Spaces." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.4 (2019): 100-103.
APA Style Citation: Kalishankar Tiwary, Chandan Kamelia, Biplab Kumar Bag, (2019). On Common Fixed Points of Mappings in Hilbert Spaces. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(4), 100-103.
BibTex Style Citation:
@article{Tiwary_2019,
author = {Kalishankar Tiwary, Chandan Kamelia, Biplab Kumar Bag},
title = {On Common Fixed Points of Mappings in Hilbert Spaces},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2019},
volume = {6},
Issue = {4},
month = {8},
year = {2019},
issn = {2347-2693},
pages = {100-103},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1438},
doi = {https://doi.org/10.26438/ijcse/v6i4.100103}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i4.100103}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1438
TI - On Common Fixed Points of Mappings in Hilbert Spaces
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Kalishankar Tiwary, Chandan Kamelia, Biplab Kumar Bag
PY - 2019
DA - 2019/08/31
PB - IJCSE, Indore, INDIA
SP - 100-103
IS - 4
VL - 6
SN - 2347-2693
ER -
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Abstract :
In this paper some common fixed points theorems have been proved in Hilbert spaces using the definition of normal structure etc.
Key-Words / Index Term :
Fixed Point, Normal Structure, Hilbert Space
References :
[1]. Jungck, G. Commuting mappings and fixed points. Amer. Math. Monthly, 83, 1976, 216-263.
[2]. Jungck, G. Compatible mappings and common fixed points. Internat. J. Math. & Math. Sci., 9, 1986, 771-779.
[3]. Kirk, W.A. A fixed point theorem for mapping which do not increase distances. Amer. Math. Monthly, 72, 1965, 1004-1008.
[4]. Kolmogorov, A.N. & Fomin, S.V. Elements of the theory of functions and functional analysis. Jauka, Moscow, 1989.
[5]. Pai, D.V. & Veeramani, P. On a fixed point theorem on uniformly convex Banach spaces. Indian J. Pure. Appl. Math., 13, 6, 1982, 647-650.
[6]. Sastry, K.P.R., Babu, G.V.R. & Rao, D. Narayana Fixed point theorems in complete metric spaces. Bull. Cal. Math. Soc. 91, 1999, 493-502.
[7]. Sharma, B.K. & Sahu, W.K. A common fixed point theorem under asymptotic regularity at a point. Pure & Appl. Math. Scienence, 34, 1, 1999.
[8]. Smulian, V. On the principle on inclusion in the space of type (B), Math. Sornik (N.S.), 5, 1939, 327-328.
[9]. Veerapandi, T. & Kumar, S.A. Common fixed point theorems of a sequence of mappings in Hilbert space. Bull. Cal. Math. Soc. 91, 1999, 299-308.
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