On coincidence and fixed-point theorems in fuzzy symmetric spaces

Document Type : Research Paper

Authors

1 Department of Mathematics, Uluberia College, Uluberia, Howrah, 711315, West Bengal, India

2 Department of Mathematics, Mahishamuri Ramkrishna Vidyapith, Howrah-711401, West Bengal, India.

3 Department of Mathematics, Uluberia College, Uluberia, Howrah-711315, West Bengal, India

4 Department of Mathematics, South Bantra Ramkrishna Institution, Howrah, 711101, West Bengal, India.

5 Department of Mathematics, Manickpur Adarsha Vidyapith, Howrah, 711309, West Bengal, India

Abstract

In this paper, common fixed point theorems have been studied in fuzzy symmetric space instead of fuzzy metric space.Using weakly compatibility, property ( E.A.), we have generalized the common fixed point theorems for a pair of weakly compatible self mappings, for four self mappings in fuzzy symmetric space. Also we have established the unique common fixed point for four self mappings in this space.

Keywords