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Fixed point Theorems of Multivalued Mappings in Cone Metric Spaces via Cone C-Class function

R. Krishnakumar1 , K. Dinesh2 , Arslan Hojat Ansari3

Section:Research Paper, Product Type: Isroset-Journal
Vol.5 , Issue.4 , pp.272-277, Aug-2018


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v5i4.272277


Online published on Aug 31, 2018


Copyright © R. Krishnakumar, K. Dinesh, Arslan Hojat Ansari . 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: R. Krishnakumar, K. Dinesh, Arslan Hojat Ansari, “Fixed point Theorems of Multivalued Mappings in Cone Metric Spaces via Cone C-Class function,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.5, Issue.4, pp.272-277, 2018.

MLA Style Citation: R. Krishnakumar, K. Dinesh, Arslan Hojat Ansari "Fixed point Theorems of Multivalued Mappings in Cone Metric Spaces via Cone C-Class function." International Journal of Scientific Research in Mathematical and Statistical Sciences 5.4 (2018): 272-277.

APA Style Citation: R. Krishnakumar, K. Dinesh, Arslan Hojat Ansari, (2018). Fixed point Theorems of Multivalued Mappings in Cone Metric Spaces via Cone C-Class function. International Journal of Scientific Research in Mathematical and Statistical Sciences, 5(4), 272-277.

BibTex Style Citation:
@article{Krishnakumar_2018,
author = {R. Krishnakumar, K. Dinesh, Arslan Hojat Ansari},
title = {Fixed point Theorems of Multivalued Mappings in Cone Metric Spaces via Cone C-Class function},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {8 2018},
volume = {5},
Issue = {4},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {272-277},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=736},
doi = {https://doi.org/10.26438/ijcse/v5i4.272277}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v5i4.272277}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=736
TI - Fixed point Theorems of Multivalued Mappings in Cone Metric Spaces via Cone C-Class function
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - R. Krishnakumar, K. Dinesh, Arslan Hojat Ansari
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 272-277
IS - 4
VL - 5
SN - 2347-2693
ER -

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Abstract :
Let P be a subset of a Banach space E and P is normal and regular cone on E, we prove the existence of the fixed point for multi valued maps and φ–ψ- contractive mappings in cone metric spaces via cone C class functions.

Key-Words / Index Term :
Cone metric space, Multivalued mappings, Fixed point, Cone C class function

References :
[1]. R. Krishnakumar, M. Marudai “ Fixed Point Theorems of Multivalued Mappings in Cone Metric Spaces” Int. J. Contemp. Math. Sciences, Vol. 5, 2010, no. 31, 1533 - 1540
[2]. Huang Gaung,Zhang Xian,”Cone metric spaces and fixed point theorems of contractive mappings” J.math.Anal. Appl.332(2007)1468-1476.
[3]. H.Mohebi,Topical functions and their properties in a class of ordered Banach spaces,in continuous Optimization,Current Trends and Modern Applications, PartII, Springer, 2005.pp.343-361.
[4]. H.Mohebi,H.Sadeghi,A.M.Rubinov,Best approximation in a class of normed spaces with star-shaped cone, Numer. Funct.Anal.Optim.27(3-4)(2006)411- 436.
[5]. Sh.Rezapour,R.Hamlbarani,”Some notes on the Paper-Cone metric Spaces and fixed point theorems of contractive mappings,”-J.Math.Anal.Appl.345 (2008)719-724.
[6] Seong Hoon Cho,Mi Sun Kim,”Fixed point theorems for general contractive multivalued mappings,”-J.Appl.Math.Informatics Vol.27 (2009)343- 350.
[7] R.Krishnakumar, K. Dinesh, Fixed point of cyclic contraction functions in banach spaces, International Journal Of Innovative Research In Science ,Engineering And Technology, Vol. 5, Issue 7, July 2016, Pg-13316 -13319
[8] A. H. Ansari, “Note on ϕ − ψ-contractive type mappings and related fixed point,”The 2nd Regional Conference on MathematicsAndApplications, PNU, September(2014), 377–380.
[9] Arslan Hojat Ansari, Sumit Chandok, Nawab Hussin and Ljiljana Paunovic, “Fixedpoints of (ψ, φ)-weak contractions in regular cone metric spaces via new function”, J. Adv. Math. Stud. Vol. 9(2016), No. 1, 72–82.
[10] R.Krishnakumar, K. Dinesh, “Existence of fixed points of fuzzy functions in complete metric spaces”, Proceedings of the International conference on applied mathematical models (Pg:240-242), ICAMM 2014 PSG College of Technology, Coimbatore, India
[11] R.Krishnakumar, K. Dinesh, “Fixed Point Theorems of Fuzzy Function in Complete Metric Spaces” , International Journal Of Innovative Research In Science, Engineering And Technology, Vol. 6, Issue 7, July 2017, Pg-13557-13562
[12] R. Krishnakumar, K. Dinesh, “Fuzzy Mapping and their Fixed Point Theorems in Complete Metric Spaces”International Journal of Scientific Research in Science, Engineering and Technology , Volume 3 , Issue 8, November-December-2017 , Pg: 241-249
[13] Arslan Hojat Ansari, R. Krishnakumar, K. Dinesh,_ and D. Dhamodharan, “Fixed Point of Cyclic Contraction Mappings in Banach Spaces Via C-Class Function” Int. J. Math. And Appl., 6(1-E)(2018), 1085-1092
[14] R. Krishnakumar, K. Dinesh, D. Dhamodharan, “Some Fixed Point Theorems in φ - ψ weak contraction on Fuzzy Metric Space” Int. J. Sci. Res. in Mathematical and Statistical Sciences Vol. 5(3), Jun 2018

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