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Some common fixed point theorems for selfmappings satisfying two contractive conditions of integral type in a uniform space

Memudu Olatinwo (2008)

Open Mathematics

In this paper, we establish some common fixed point theorems for selfmappings of a uniform space by employing both the concepts of an A-distance and an E-distance introduced by Aamri and El Moutawakil [1] and two contractive conditions of integral type. Our results are generalizations and extensions of the classical Banach’s fixed point theorem of [2, 3, 19], some results of Aamri and El Moutawakil [1], Theorem 2.1 of Branciari [5] as well as a result of Jungck [7].

Some conditions under which a uniform space is fine

Umberto Marconi (1993)

Commentationes Mathematicae Universitatis Carolinae

Let X be a uniform space of uniform weight μ . It is shown that if every open covering, of power at most μ , is uniform, then X is fine. Furthermore, an ω μ -metric space is fine, provided that every finite open covering is uniform.

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