Common fixed point theorems in modified intuitionistic fuzzy metric spaces with common property (E.A.)
1 School of Computer & Systems Sciences, Jawaharlal Nehru University, New Delhi 110 067, India
2 Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India
3 Department of Applied Mathematics and Humanities, S. V. National Institute of Technology Surat, Gujarat 395 007, India
Fixed Point Theory and Applications 2012, 2012:36 doi:10.1186/1687-1812-2012-36Published: 6 March 2012
In this article, we utilize the notions of the property (E.A.) and common property (E.A.) in the setting of modified intuitionistic fuzzy metric spaces to prove a result interrelating the property (E.A.) with common property (E.A.). Also using the common property (E.A.), we prove some common fixed point theorems in modified intuition-istic fuzzy metric spaces satisfying an implicit relation. Some related results are also derived besides furnishing an illustrative example.
AMS Subject Classification (2000): Primary 54H25; Secondary 47H10.