Results on Complex Valued Complete Fuzzy Metric Spaces
Keywords:
common fixed point, metric spaces, complex-valued fuzzy metric spaces (CVFMS)Abstract
This work demonstrates certain standard fixed point theorems on complex-valued fuzzy metric spaces. We show certain fixed point findings in the situation of complex-valued fuzzy metric spaces, inspired by Singh et al. [25]. To begin, we extend some well-known existing conclusions from metric spaces to complex-valued fuzzy metric spaces and then prove them in the complex-valued complete fuzzy metric space context. We provide an example that supports our main result and supports our hypotheses.
References
D. Ramot, R. Milo, M. Friedman, A. Kandel (2002) IEEE Transactions of Fuzzy Systems. 10(2), 171%E2%80%93186.
G. Jungck (1976) Commuting maps and fixed points. 83, 261%E2%80%93263.
L.A. Zadeh (1965) Fuzzy sets. 8, 338%E2%80%93353.
A. Kandel (1986) Fuzzy Mathematical Techniques and Applications.
G.J. Klir, B. Yuan (1995) Fuzzy Sets and Fuzzy Logic: Theory and Applications.
J.M. Mendel (1995) Fuzzy logic systems for engineering: A tutorial. 83, 345%E2%80%93377.
I. Kramosil, J. Michalek (1975) Fuzzy metric and statistical metric spaces. 11, 336%E2%80%93344.
M. Grabiec (1988) Fixed points in fuzzy metric spaces. 27, 385%E2%80%93399.
A. George, P. Veeramani (1994) On some results in fuzzy metric spaces. 64, 395%E2%80%93399.
J.J. Buckley (1987) Fuzzy complex numbers. 597a^AS ^{v} ,700.
J.J. Buckley (1989) Fuzzy complex numbers. 33, 333a^AS ^{ ˅} ,345.
J.J. Buckley (1991) Fuzzy complex analysis I: Differentiation. 41, 269a^AS ^{˅} , 284.
J.J. Buckley (1992) Fuzzy complex analysis II: Integration. 49, 171-179.
M. Ousmane, C. Wu (2003) Semi-continuity of complex fuzzy function. 8, 65-70.
N. Sethi, S.K. Das, D.C. Panda (2012) Probabilistic interpretation of complex fuzzy set. 2(2), 31-44.
D. Qiu, L. Shu (2008) Notes on a^AIJon the restudy of fuzzy ^{v} complex analysis: Part I and part IIa^A ^{v} I. 159, 2185-2189.
D. Qiu, L. Shu, Z. Wen Mo (2009) Notes on fuzzy complex analysis. 160, 1578-1589.
J. Qiu, C. Wu, F. Li (2000) On the restudy of fuzzy complex analysis: Part I. The sequence and series of fuzzy complex numbers and their convergences. 115, 445-450.
J. Qiu, C. Wu, F. Li (2001) On the restudy of fuzzy complex analysis: Part II. The continuity and differentiation of fuzzy complex functions. 120, 517-521.
C. Wu, J. Qiu (1999) Some remarks on fuzzy complex analysis. 106, 231-238.
A. Azam, B. Fisher, M. Khan (2011) Common fixed point theorems in complex valued metric spaces. 32(3), 243-253.
F. Rouz ar an M. Im a (2012) Some common ixe point t eorems on comp ex-va ue metric spaces. 64, 1866-1874.
R.K. Verma, H.K. Pathak (2013) Common fixed point theorems using property (E.A) in complex-valued metric spaces. 11(2), 347-355.
B. Fisher (1979) Mapping with a common fixed point. 7, 81-84.
D. Singh, V. Joshi, M. Imdad, P. Kumam (2016) A novel framework of complex-valued fuzzy metric spaces and fixed-point theorems. 30, 3227-3238.
Downloads
- Article PDF
- TEI XML Kaleidoscope (download in zip)* (Beta by AI)
- Lens* NISO JATS XML (Beta by AI)
- HTML Kaleidoscope* (Beta by AI)
- DBK XML Kaleidoscope (download in zip)* (Beta by AI)
- LaTeX pdf Kaleidoscope* (Beta by AI)
- EPUB Kaleidoscope* (Beta by AI)
- MD Kaleidoscope* (Beta by AI)
- FO Kaleidoscope* (Beta by AI)
- BIB Kaleidoscope* (Beta by AI)
- LaTeX Kaleidoscope* (Beta by AI)
Published
Issue
Section
License
Copyright (c) 2023 Authors and Global Journals Private Limited
This work is licensed under a Creative Commons Attribution 4.0 International License.
