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In this paper, we prove a common fixed point theorem for a pair of weakly compatible mappings in fuzzy metric space using the joint common limit in the range property of mappings called (JCLR) property. An example is also furnished which demonstrates the validity of main result. We also extend our main result to two finite families of self mappings. Our results improve and generalize results of Cho et al. [Y. J. Cho, S. Sedghi and N. Shobe, "Generalized fixed point theorems for compatible mappings with some types in fuzzy metric spaces," Chaos, Solitons & Fractals, Vol. 39, No. 5, 2009, pp. 2233-2244 and several known results existing in the literature.

We examined 524 patients with whiplash injuries for delayed onset of shoulder pain in order to establish whether this was due to impingement syndrome. A total of 476 patients (91%) responded to a questionnaire of which 102 (22%) were entered into the study; 43 had both a positive impingement sign and Neer test. The incidence of impingement-type pain was 9%. After treatment 23 patients (5%) had a significant improvement in their symptoms, ten (2%) had a moderate improvement and nine had no improvement. Impingement-type pain can occur after whiplash injuries and can be successfully treated.

In this paper, utilizing the concept of common limit range property, we prove integral type common fixed point theorems for two pairs of weakly compatible mappings satisfying φ-contractive conditions in modified intuitionistic fuzzy metric spaces. We give some examples to support the useability of our results. We extend our results to four finite families of self mappings by using the notion of pairwise commuting. c 2014 All rights reserved.Keywords: Modified intuitionistic fuzzy metric space, weakly compatible mappings, common limit range property, fixed point. 2010 MSC: 47H10, 54H25.

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