EuDML | Browse

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.

Currently displaying 1 – 20 of 33

Page 1 Next

Displaying 1 – 20 of 33

Semicontinuity of maps which are limits of sequences of quasi-continuous maltivalued maps

Semimetrics, semiécarts in ordered semigroups

Semi-quasi-uniform spaces

Semi-uniformities in quotient spaces

Sequential Cauchy spaces

Sequential structures induced by merotopies

Several classes of uniform spaces connected with Banach valued mappings

Several extremal coreflective classes in uniform spaces

Simultaneous extensions of proximities, semi-uniformities, contiguities and merotopies. II.

Simultaneous extensions of proximities, semi-uniformities, contiguities and merotopies. IV.

Simultaneous extensions of proximities, semi-uniformities, contiguities and merotopies. III.

Simultaneous extensions of proximities, semi-uniformities, contiguities and merotopies. I.

Simultaneous lattice and topological completion of topological posets

Simultaneous representations in uniform spaces

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

Some conditions under which a uniform space is fine

Some factorization theorems for closed subspaces

Some fixed-point theorems for multivalued monotone mappings in ordered uniform space.

Some metrically determined functors of uniform spaces with paved spaces

Some Point Set Properties of Merotopic Spaces and Their Cohomology Groups.

Currently displaying 1 – 20 of 33