We present fixed point theorems for a nonexpansive mapping from a closed convex subset of a uniformly convex Banach space into itself under some asymptotic contraction assumptions. They generalize results valid for bounded convex sets or asymptotically compact sets. In this note we generalize a famous result by Browder [3], Göhde [6] and Kirk [8], recently extended by Luc in [14], by using the ...

in this paper is introduced a new type of generalization of metric spaces called sb metric space. for this new kind of spaces it has been proved a common xed point theorem for four mappings which satisfy generalized contractive condition. we also present example to conrm our theorem.

Introduction: Orlicz and Birnbaum considered spaces of functions with growth properties different from the power type growth control, provided by the p L -norm. This generalization found many applications in differential and integral equations with kernels of non-power types. A more abstract approach was given by Nakano in connection with the theory of order spaces. His point of view was genera...

Given a JBW*-triple Z and a normal contractive projection P : Z −→ Z, we show that the (Murray-von Neumann) type of each summand of P (Z) is dominated by the type of Z.

In the year 2014, Almeida et al. introduced a new class of mappings, namely, contractions Geraghty type. Additionally, in 2021, Beg concept generalized F-proximal contraction first kind and second kind, respectively. After developing these concepts, authors mainly studied best proximity points for classes mappings. this short note, we prove that problem existence said proximal is equivalent to ...

A common fixed point result for weakly increasing mappings satisfying generalized contractive type of Zhang in ordered metric spaces are derived.

In this paper, we obtain a common fixed point theorem for four self maps satisfing (ψ-φ) contractive condition of integral type in ordered partial metric spaces.

* Correspondence: [email protected]. rs Department of Mathematics and Informatics, Faculty of Science, University of Kragujevac, Radoja Domanovića 12, 34000 Kragujevac, Serbia Full list of author information is available at the end of the article Abstract The purpose of this article is to generalize common fixed point theorems under contractive condition of Ćirić’s type on a cone metric type space....

We consider valued fields with a distinguished isometry or contractive derivation as valued modules over the Ore ring of difference operators. Under certain assumptions on the residue field, we prove quantifier elimination first in the pure module language, then in that language augmented with a chain of additive subgroups, and finally in a two-sorted language with a valuation map. We apply qua...