Author(s)

Balaji Raghunath Wadkar¹, Vishnu Narayan Mishra^2,3*, Ramakant Bhardwaj⁴, Basant Singh¹

¹Department of Mathematics, AISECT University, Bhopal, India.
²Applied Mathematics & Humanities Department, S.V. National Institute of Technology, Surat, India.
³Department of Mathematics, Indira Gandhi National Tribal University, Amarkantak, India.
⁴Department of Mathematics, TIT Group of Institutes, Bhopal, India.

In the present paper, we define Dislocated Soft Metric Space and discuss about the existence and uniqueness of soft fixed point of a cyclic mapping in soft dislocated metric space. We also prove the unique soft fixed point theorems of a cyclic mapping in the context of dislocated soft metric space. Examples are given for support of the results.

Soft Set, Soft Fixed Point, Soft Point of Soft Mapping, Soft Metric Space, Dislocated Soft Metric Space

Wadkar, B. , Mishra, V. , Bhardwaj, R. and Singh, B. (2017) Dislocated Soft Metric Space with Soft Fixed Point Theorems. Open Journal of Discrete Mathematics, 7, 108-133. doi: 10.4236/ojdm.2017.73012.