Unified fixed point theorems for mappings in fuzzy metric spaces via implicit relations | ||||
| Journal of the Egyptian Mathematical Society | ||||
| Volume 23, Issue 2, 2015, Page 334-342 PDF (488.11 K) | ||||
| Document Type: Original Article | ||||
| DOI: 10.1016/j.joems.2014.05.008 | ||||
 View on SCiNiTO | ||||
| Authors | ||||
| Sunny Chauhan* 1; Mohammad Imdad2; Wutiphol Sintunavarat3; Yonghong Shen4 | ||||
| 1Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor 246 701, Uttar Pradesh, India | ||||
| 2b Department of Mathematics, Aligarh Muslim University, Aligarh 202 002, India | ||||
| 3Department of Mathematics and Statistics, Faculty of Science and Technology, Thammasat University Rangsit Center, Pathumthani 12121, Thailand | ||||
| 4School of Mathematics and Statistics, Tianshui Normal University, Tianshui 741001, PR China | ||||
| Abstract | ||||
| In this paper, we prove some fixed point theorems for weakly compatible mappings in fuzzy metric spaces employing common limit range property with implicit relations. We also furnish some illustrative examples to support our main results. As an application to our main result, we derive a fixed point theorem for four finite families of self-mappings which can be utilized to derive common fixed point theorems involving any finite number of mappings. Our results improve and extend a host of previously known results including the ones contained in the paper of Gopal et al. (2011). | ||||
| Keywords | ||||
| Fuzzy metric space; Compatible mappings; Weakly compatible mappings; Common limit range property; Fixed point | ||||
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