An iterated function system consists of a complete metric space (X,d) and finite family contractions f1,⋯,fn:X→X. A generalized comprises defined on the Cartesian product Xm with values in X. In this paper, we want to investigate systems more general setting b-metric spaces. We prove that such admits unique attractor and, under some further restrictions b-metric, it depends continuously paramet...

considering the increasing interest in fuzzy theory and possible applications,the concept of fuzzy metric space concept has been introduced by severalauthors from different perspectives. this paper interprets the theory in termsof metrics evaluated on fuzzy numbers and defines a strong hausdorff topology.we study interrelationships between this theory and other fuzzy theories suchas intuitionis...

The paper is devoted to a revision of the metric regularity property for mappings between metric or Banach spaces. Some new concepts are introduced: uniform metric regularity and metric multi-regularity for mappings into product spaces, when each component is perturbed independently. Regularity criteria are established based on a nonlocal version of Lyusternik-Graves theorem due to Milyutin. Th...

Recently, Piri and Kumam [Fixed Point Theory and Applications 2014, 2014:210] improved concept of F -contraction and proved some Wardowski and Suzuki type …xed point results in metric spaces. The aim of this article is to de…ne generalized GF -contraction and establish Wardowski and Suzuki type …xed point results in metric and ordered metric spaces and derive main results of Piri et al. as coro...

In [5], new results on affine complete algebras are obtained using the formalism of generalized metric spaces introduced by Jawhari, Misane and Pouzet [3]. In this paper we focus our attention to the clones of compatible operations obtained by the mean of nonexpansive functions defined on a generalized metric space. We hence prove new results on relations and primal algebras. We apply the notio...