Common Fixed Point Theorems in Dislocated Generalized Intuitionistic Fuzzy Metric Space
Abstract
In this paper we dene dislocated generalized intuitiionistic fuzzymetric space and prove common xed point theorems for weakly compatible maps in dislocated generalized intuitionistic fuzzy metric spaces.
References
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[2] K. T. Atanassov. Intuitionistic fuzzy Sets, Fuzzy Sets and Systems, 20(1)(1986), 87-96.
[3] G.Balasubramanian, M. Rajeswari and M. Jeyaraman. Common fixed point theoremsin generalized intuitionistic fuzzy metric space, J. Adv. studies in Topology, 7(2)(2016), 68-78.
[4] A. George and P. Veeramani. On Some results in fuzzy metric spaces, Fuzzy sets and systems, 64(3)(1994), 395-399.
[5] P. Hitzler and A.K. Seda. Dislocated topologies, J. Electr. Eng., 51(12)(2000), 3-7.
[6] F.He. Common fixed point of four self maps on dislocated metric spaces, J. Nonlinear Sci. Appl., 8(2015), 301- 308.
[7] O. Kaleva and S. Seikala. On fuzzy metric spaces, Fuzzy Sets and Systems, 12(1984), 215-229.
[8] E. Karpinar and P. Salimi. Dislocated metric space to metric spaces with some fixed point theorems, Fixed point theory Appl., 2013 2013:222 DOI: 10.1186/1687-1812-2013-222
[9] Z.Kastriot, A. Isufati and P. S. Kumari. Fixed point results and E.A Property in Dislocated and Dislocated Quasi- metric spaces, Turkish journal of analysis and Number Theory,
3(1)(2015), 24-29.
[10] O. Kramosil and J. Michalek. Fuzzy metric and statistical metric spaces, Kybernetics, 11(5)(1975), 330-334.
[11] P.S. Kumari, V.V.Kumar and R. Sarma. New version for Hardy and Rogers type mapping in dislocated metric space, Inter. J. Basic and Appl. Sci., 1(4)(2012), 609-617.
[12] P.S. Kumari and P. Dinesh. Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self mappings, Fixed point Theory and Applications, 2016
2016:15 DOI: 10.1186/s13663-016-0498-3 1-19.
[13] P.S. Kumari, V.V. Kumar and R. Sarma. Common foxed point theorems on weakly compatible maps on dislocated metric space, Math. Sci, (2012) 6: 71. doi:10.1186/2251-7456-6-71
[14] P.S. Kumari, Z. Kastriot and P. Dinesh. d- Neighbourhood system and generalized F- contraction in dislocated metric space, Springerplus, 2015; 4: 368, doi: 10.1186/s40064-015-
1095-3
[15] P.S. Kumari and P. Dinesh. Cyclic contractions and xed point theorems on various generating spaces, Fixed Point Theory Appl., 2015 2015:153, DOI: 10.1186/s13663-015-0403-5
[16] P.S. Kumari and P.Dinesh. Cyclic compatible contraction and related fixed point Theorems, Fixed point Theory Appl. 2016 2016:28, DOI: 10.1186/s13663-016-0521-8
[17] D. Panthi and K.Jha. A Common fixed point theorems in dislocated metric space, Appl Math. Sci., 6(91) (2012), 497-4503,
[18] J.H. Park, J.S. Park and Y.C. Kwun. A Common fixed point theorems in dislocated metric space, Advances in Natural Comput, and Data mining (Proc.2nd ICNC and FSKD), (2006),
293-300.
[19] J.S. Park. Fixed point theorem for common property (E.A) and weak compatible functions in intuitionistic fuzzy metric spaces, Inter. J. Fazzy Logic Int. Systems, 11(3)(2011), 149-142.
[20] R. Sarma and P.S. Kumari. On Dislocated metric spaces, International Journal of Mathematical Archive(IJMA), 3(1)(2012), 72-77.
[21] S.Sedghi and N.Shobe. Fixed point theorems in M- fuzzy metric spaces with property (E), Advances in Fuzzy in Mathematics, 1(1)(2006), 55-65.
[22] S. Sedghi and N. Shobe. A Common fixed point theorem in two M-fuzzy metric spaces, Commun. Korean. Math. Soc., 22(4)(2007), 513-526.
[23] L.A.Zadeh. Fuzzy sets, Information and Control, 8(1965), 338- 353.
[2] K. T. Atanassov. Intuitionistic fuzzy Sets, Fuzzy Sets and Systems, 20(1)(1986), 87-96.
[3] G.Balasubramanian, M. Rajeswari and M. Jeyaraman. Common fixed point theoremsin generalized intuitionistic fuzzy metric space, J. Adv. studies in Topology, 7(2)(2016), 68-78.
[4] A. George and P. Veeramani. On Some results in fuzzy metric spaces, Fuzzy sets and systems, 64(3)(1994), 395-399.
[5] P. Hitzler and A.K. Seda. Dislocated topologies, J. Electr. Eng., 51(12)(2000), 3-7.
[6] F.He. Common fixed point of four self maps on dislocated metric spaces, J. Nonlinear Sci. Appl., 8(2015), 301- 308.
[7] O. Kaleva and S. Seikala. On fuzzy metric spaces, Fuzzy Sets and Systems, 12(1984), 215-229.
[8] E. Karpinar and P. Salimi. Dislocated metric space to metric spaces with some fixed point theorems, Fixed point theory Appl., 2013 2013:222 DOI: 10.1186/1687-1812-2013-222
[9] Z.Kastriot, A. Isufati and P. S. Kumari. Fixed point results and E.A Property in Dislocated and Dislocated Quasi- metric spaces, Turkish journal of analysis and Number Theory,
3(1)(2015), 24-29.
[10] O. Kramosil and J. Michalek. Fuzzy metric and statistical metric spaces, Kybernetics, 11(5)(1975), 330-334.
[11] P.S. Kumari, V.V.Kumar and R. Sarma. New version for Hardy and Rogers type mapping in dislocated metric space, Inter. J. Basic and Appl. Sci., 1(4)(2012), 609-617.
[12] P.S. Kumari and P. Dinesh. Connecting various types of cyclic contractions and contractive self-mappings with Hardy-Rogers self mappings, Fixed point Theory and Applications, 2016
2016:15 DOI: 10.1186/s13663-016-0498-3 1-19.
[13] P.S. Kumari, V.V. Kumar and R. Sarma. Common foxed point theorems on weakly compatible maps on dislocated metric space, Math. Sci, (2012) 6: 71. doi:10.1186/2251-7456-6-71
[14] P.S. Kumari, Z. Kastriot and P. Dinesh. d- Neighbourhood system and generalized F- contraction in dislocated metric space, Springerplus, 2015; 4: 368, doi: 10.1186/s40064-015-
1095-3
[15] P.S. Kumari and P. Dinesh. Cyclic contractions and xed point theorems on various generating spaces, Fixed Point Theory Appl., 2015 2015:153, DOI: 10.1186/s13663-015-0403-5
[16] P.S. Kumari and P.Dinesh. Cyclic compatible contraction and related fixed point Theorems, Fixed point Theory Appl. 2016 2016:28, DOI: 10.1186/s13663-016-0521-8
[17] D. Panthi and K.Jha. A Common fixed point theorems in dislocated metric space, Appl Math. Sci., 6(91) (2012), 497-4503,
[18] J.H. Park, J.S. Park and Y.C. Kwun. A Common fixed point theorems in dislocated metric space, Advances in Natural Comput, and Data mining (Proc.2nd ICNC and FSKD), (2006),
293-300.
[19] J.S. Park. Fixed point theorem for common property (E.A) and weak compatible functions in intuitionistic fuzzy metric spaces, Inter. J. Fazzy Logic Int. Systems, 11(3)(2011), 149-142.
[20] R. Sarma and P.S. Kumari. On Dislocated metric spaces, International Journal of Mathematical Archive(IJMA), 3(1)(2012), 72-77.
[21] S.Sedghi and N.Shobe. Fixed point theorems in M- fuzzy metric spaces with property (E), Advances in Fuzzy in Mathematics, 1(1)(2006), 55-65.
[22] S. Sedghi and N. Shobe. A Common fixed point theorem in two M-fuzzy metric spaces, Commun. Korean. Math. Soc., 22(4)(2007), 513-526.
[23] L.A.Zadeh. Fuzzy sets, Information and Control, 8(1965), 338- 353.
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2017-04-10
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