Chauhan, S., Imdad, M., Sintunavarat, W., Shen, Y. (2015). Unified fixed point theorems for mappings in fuzzy metric spaces via implicit relations. test, 23(2), 334-342. doi: 10.1016/j.joems.2014.05.008
Sunny Chauhan; Mohammad Imdad; Wutiphol Sintunavarat; Yonghong Shen. "Unified fixed point theorems for mappings in fuzzy metric spaces via implicit relations". test, 23, 2, 2015, 334-342. doi: 10.1016/j.joems.2014.05.008
Chauhan, S., Imdad, M., Sintunavarat, W., Shen, Y. (2015). 'Unified fixed point theorems for mappings in fuzzy metric spaces via implicit relations', test, 23(2), pp. 334-342. doi: 10.1016/j.joems.2014.05.008
Chauhan, S., Imdad, M., Sintunavarat, W., Shen, Y. Unified fixed point theorems for mappings in fuzzy metric spaces via implicit relations. test, 2015; 23(2): 334-342. doi: 10.1016/j.joems.2014.05.008

Unified fixed point theorems for mappings in fuzzy metric spaces via implicit relations

Journal of the Egyptian Mathematical Society
Volume 23, Issue 2, 2015, Pages 334-342    PDF (488.11 K)
Document Type: Original Article
DOI: 10.1016/j.joems.2014.05.008
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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