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Common fixed point theorems for two hybrid pairs of mappings satisfying the common property (E.A) in Menger PM-spaces

DOI: 10.1186/1687-1812-2013-25

Keywords: common fixed point, Menger PM-space, hybrid pair, common property (E.A)

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Abstract:

In this paper, a new concept of the common property (E.A) for two hybrid pairs of mappings is introduced in Menger PM-spaces. Utilizing this concept, some common fixed point theorems, which shed some new light on the study of fixed point results for hybrid pairs in Menger PM-spaces, are obtained under strict contractive conditions. The corresponding results in metric spaces which generalize many known results are also obtained. Finally, an example is also given to exemplify our main results.

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