Recommended by Lech G ´ orniewicz We prove a result on points of coincidence and common fixed points for three self-mappings satisfying generalized contractive type conditions in cone metric spaces. We deduce some results on common fixed points for two self-mappings satisfying contractive type conditions in cone metric spaces. These results generalize some well-known recent results.

In this paper we prove the existence of common fixed points for a pair of self mappings under strict contractive conditions in the settings of a fuzzy metric space.Also we prove a common fixed point theorem for a quadruplet of self mappings in fuzzy metric space. Mathematics Subject Classification: 47H10, 54A40, 54E99

In this paper, we deal with the geometric properties of non-unique fixed points for self-mappings a metric space (resp. an S-metric space). The fixed-disc fixed-circle) problem has been investigated in setting. To obtain new results, modify some known fixed-point techniques. Illustrative examples are also given to show validity our main results.

A certain ‘pressure’ functional Φ(T1, . . . , TN ), defined as the limit of sums of singular value functions of products of linear mappings (T1, . . . , TN ), is central in analysing fractal dimensions of self-affine sets. We investigate the continuity of Φ with respect to the linear mappings (T1, . . . , TN ) which underlie the self-affine sets.

and Applied Analysis 3 It is an interesting problem to extend the above results to a strongly continuous semigroup of nonexpansive mappings and a strongly continuous semigroup of asymptotically nonexpansive mappings. Let S be a strongly continuous semigroup of nonexpansive self-mappings. In 1998 Shioji and Takahashi 11 introduced, in Hilbert space, the implicit iteration

In the present paper‎, ‎we show the existence of a coupled fixed point for a non-decreasing mapping in partially ordered complete metric space using a partial order induced by an appropriate function $phi$‎. ‎We also define the concept of weakly related mappings on an ordered space‎. ‎Moreover common coupled fixed points for two and three weakly related mappings are also proved in the same space‎.

The problem of iterative roots for strictly monotone self-mappings has been well solved. Most of known results concerning existence of iterative roots for a continuous function were given under the assumption that the function has finitely many non-monotonic points. When a function has infinitely many non-monotonic points, the problem of the existence of its iterative roots will become more com...

*Correspondence: [email protected] 1Instituto de Investigacion y Desarrollo de Procesos, Universidad del Pais Vasco, Campus of Leioa (Bizkaia), Aptdo. 644, Bilbao, Bilbao 48080, Spain Full list of author information is available at the end of the article Abstract This paper discusses three contractive conditions for two 2-cyclic self-mappings defined on the union of two nonempty subsets of ...

in this paper, sufficient conditions for the existence ofcommon fixed points for a compatible pair of self maps of gregustype in the framework of convex metric spaces have been obtained.also, established the existence of common fixed points for a pair ofcompatible mappings of type (b) and consequently for compatiblemappings of type (a). the proved results generalize and extend someof the well k...