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In the recent articles, Khan and Sumitra (Appl. Math. Sci., 5(29)(2011), 1421-1430) and Singh et al. (Int. J. Math. Anal., 5(27) (2011), 1301-1308) claim a fuzzy version of common fixed point theorem of Bouhadjera and Godet-Thobie [3]. The results of aforementioned articles contain flaws and are not correct in their present form. We provide some examples to demonstrate that this claim is false unless some additional conditions are imposed. Our note is desired to complete the interesting results in the quoted paper. [ABSTRACT FROM AUTHOR]

The aim of this paper is to prove some common fixed point theorems under certain strict contractive conditions for mappings sharing the common property (E.A) in Menger spaces. As applications to our results, we obtain the corresponding common fixed point theorems under strict contraction in metric spaces. Thus, our results generalize many known results in Menger as well as metric spaces. Some related results are also derived besides presenting several illustrative examples. [ABSTRACT FROM AUTHOR]

Abstract: In an interesting article, Bouhadjera and Godet-Thobie (2009)  introduced notions of subcompatibility and subsequential continuity, and utilized them to prove several common fixed point theorems. The results of the aforementioned article contain flaws, and they are not correct in their present form. But these results can be recovered in two ways by strengthening either of the newly introduced definitions. The results, in their corrected form, still bring about noted improvements over a multitude of relevant fixed point theorems of the existing literature, substantiating the utility of these (two) new notions. [Copyright &y& Elsevier]