Some fixed point theorems in Banachspaces and its applications

Recently, Huang and Zhang [4] introduced the concept of cone metric spaces which generalized the concept of the metric spaces, replacing the set of real numbers by an ordered

Fortunately, under the weaker definition of vector space, which is called the nonstandard vector space, Wu [6, 7] had presented the Hahn-Banach extension theorems for the

We define “tangent” spaces at a point of a metric space as a certain quotient space of the sequences which converge to this point and after that introduce the “derivatives”

By retaining the notion of a contraction in the sense of Banach and merely modifying the space we can obtain many modifications of the contraction

They start with a family of Banach spaces associated with the boundary of the unit disk d in C (the set of complex numbers) and, for each complex number in the

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We give the structure of ultrapowers of sums of rearrangement invariant function spaces satisfying special equiintegrability conditions, and of ultraproducts of such

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