全部 标题 作者
关键词 摘要

OALib Journal期刊
ISSN: 2333-9721
费用:99美元

查看量下载量

相关文章

更多...

Fixed Point Results by Altering Distances in Fuzzy Metric Spaces

DOI: 10.4236/apm.2015.56036, PP. 377-382

Keywords: Fixed Points, Fuzzy Metric Spaces, Altering Distance, Fixed Point Results

Full-Text   Cite this paper   Add to My Lib

Abstract:

We establish fixed point theorems in complete fuzzy metric space by using notion of altering distance, initiated by Khan et al. [Bull. Austral. Math. Soc. 30 (1984), 1-9]. Also, we find an affirmative answer in fuzzy metric space to the problem of Sastry [TamkangJ. Math., 31(3) (2000), 243-250].

References

[1]  Kramosil, I. and Michalek, J. (1975) Fuzzy Metric and Statistical Metric Spaces. Kybernetika, 11, 326-334.
[2]  Grabiec, M. (1988) Fixed Points in Fuzzy Metric Spaces. Fuzzy Sets and Systems, 27, 385-389.
http://dx.doi.org/10.1016/0165-0114(88)90064-4
[3]  George, A. and Veeramani, P. (1994) On Some Results in Fuzzy Metric Space. Fuzzy Sets and Systems, 64, 395-399.
http://dx.doi.org/10.1016/0165-0114(94)90162-7
[4]  Boyd, W. and Wong, S.W. (1969) On Nonlinear Contractions. Proceedings of the American Mathematical Society, 20, 458-464.
http://dx.doi.org/10.1090/S0002-9939-1969-0239559-9
[5]  Alber, Y.I. and Guerre-Delabriere, S. (1997) Principle of Weakly Contractive Maps in Hilbert Spaces. In: Gohberg, I. and Lyubich, Y., Eds., New Results in Operator Theory and Its Applications, Vol. 98 of Operator Theory, Advances and Applications, Birkhauser, Basel, 7-22.
[6]  Khan, M.S., Swaleh, M. and Sessa, S. (1984) Fixed Point Theorems by Altering Distances between the Points. Bulletin of the Australian Mathematical Society, 30, 1-9.
http://dx.doi.org/10.1017/S0004972700001659
[7]  Pant, R.P., Jha, K. and Lohani, A.B. (2003) A Note on Common Fixed Points by Altering Distances. Tamkang Journal of Mathematics, 34, 59-62.
[8]  Pant, R.P., Jha, K. and Pande, V.P. (2003) Common Fixed Point for by Altering Distances between Points. Bulletin of Calcutta Mathematical Society, 95, 421-428.
[9]  Pant, R.P., Jha, K. and Padaliya, S. (2003) On Common Fixed Point by Altering Distances between the Points. Tamkang Journal of Mathematics, 34, 239-243.
[10]  Sumitra, Chauhan, S. and Kadelburg, Z. (2013) A Common Fixed Point Theorem in Metric Space under General Contractive Condition. Journal of Applied Mathematics, 2013, Article ID: 510691, 7 p.
http://dx.doi.org/10.1155/2013/510691
[11]  Sumitra, Imdad, M. and Chauhan, S. (2013) Unified Fixed Point Theorems via Common Limit Range Property in Modified Intuitionistic Fuzzy Metric Spaces. Hindawi Publishing Corporation, Abstract and Applied Analysis, 2013, Article ID: 413473, 11 p.
[12]  Sumitra, Manro, S., Bhatia, S.S., Kumar, S. and Kumum, P. (2013) Weakly Compatibly Mapping with CLRS Mapping in Fuzzy-Metric Spaces. Journal Nonlinear Analysis and Applications, 2013, 1-12.
[13]  Sastry, K.P.R., Naidu, S.V.R., Babu, G.V.R. and Naidu, G.A. (2000) Generalization of Common Fixed Point Theorems for Weakly Commuting Maps by Altering Distances. Tamkang Journal of Mathematics, 31, 243-250.
[14]  Vasuki, R. (1999) Common Fixed Points for R-Weakly Commuting Mappings in Fuzzy Metric Spaces. Indian Journal of Pure and Applied Mathematics, 30, 419-423.
[15]  Abbas, M., Imdad, M. and Gopal, D. (2011) ψ-Weak Contractions in Fuzzy Metric Spaces. Iranian Journal of Fuzzy Systems, 8, 141-148.
[16]  Vetro, C. and Vetro, P. (2008) Common Fixed Points for Discontinuous Mappings in Fuzzy Metric Spaces. Rendiconti del Circolo Matematico di Palermo, 57, 295-303.
[17]  Jha, K., Abbas, M., Beg, I., Pant, R.P. and Imdad, M. (2011) Common Fixed Point Theorem for (?, ψ)-Weak Contractions in Fuzzy Metric Spaces. Bulletin of Mathematical Analysis and Applications, 3, 149-158.
[18]  Sharma, P. and Chandel, R.S. (2013) Reciprocally Continuous Maps in a Fuzzy Metric Space Involving Implicit Relations. Journal of Advanced Studies in Topology, 4, 32-39.

Full-Text

Contact Us

service@oalib.com

QQ:3279437679

WhatsApp +8615387084133