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.
The institute has three Krishi Vigyan Kendras (KVKs) located at Jodhpur, Pali and Kukma-Bhuj; and five field areas for range management studies. It hosts an All India Network Project on Vertebrate Pest Management with its centre in many institutes and State Agricultural Universities located in different agro-ecological regions of the country. At present the mandates of the institute are: 1118 P C Moharana et al. To undertake basic and applied research on sustainable farming systems in the arid ecosystem To act as repository of information on the state of natural resources and desertification processes Developing livestock-based farming systems and range management practices for the chronically drought-affected areas Generating and transferring location-specific technologies.
In this paper, employing the common (E.A) property, we prove two common fixed theorems for weakly compatible mappings via an implicit relation in intuitionistic fuzzy metric spaces. Our results generalize the results of Kumar [1, Theorem 3.1] and Huang, Zhu and Wen [2, Theorem 4.1].
The object of this paper is to utilize the notion of common limit range property to prove unified fixed point theorems for weakly compatible mappings in fuzzy metric spaces satisfying an implicit relation due to Rao et al. (Hacet. J. Math. Stat. 37(2):97-106, 2008). Some illustrative examples are furnished which demonstrate the validity of the hypotheses and degree of utility of our results. As an application to our main result, we prove an integral type fixed point theorem in fuzzy metric space. MSC: 54H25; 47H10
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