The existing literature of fixed point theory contains many results enunciating fixed point theorems for self-mappings in metric and Banach spaces. 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 Banach space, and obtained some fixed point theorems for mapping satisfyin...

This dissertation lies in the research area of schema integration: the problem of combining the data of different data sources by creating a unified representation of these data. Two core issues in schema integration are schema matching, i.e. the identification of correspondences, or mappings, between input schema objects, and schema merging, i.e. the creation of a unified schema based on the i...

1. The principal object of this note is to give an extremely simple axiomatic characterization of the Euler characteristic for finite polyhedra. The idea of the construction used was suggested by the definition of the Grothendieck group of sheaves over a space [l]. Unless otherwise noted, "space" always means "triangulable space with base point," and a "pair" is a "triangulable pair of spaces w...

We introduce a new pair of mappings (S,T) on D*-metric spaces called DS*-W.C. and DRS*-W.C. Many examples are presented to show the difference between these other types in literature. Moreover, we obtain several common fixed point results by using (E.A) property. then employ establish existence uniqueness solution for class nonlinear integral equations.

The paper treats properties of pseudo-Riemannian spaces admitting non-trivial geodesic mappings. A symmetric pair is a with coinciding values covariant derivatives for their Riemann tensors. It proved that the spaces, which are not constant curvatures, defined unequivocally by lines. research carried out locally, using tensors, no restrictions to sign metric tensor and signature space.

In this paper, Bit Interleaved Coded Modulation systems with Iterative Decoding (BICM-ID) for Multiple Input Multiple Output (MIMO) channel are considered. Based on minimizing pair-wise error probability, a design criterion is proposed to find the optimal multi-dimensional constellation mapping for a MIMO-BICM-ID system. Using the design criterion and employing the Binary Switching Algorithm, s...

Abstract: An explicit hierarchical fixed point algorithm is introduced to solve monotone variational inequalities, which are governed by a pair of nonexpansive mappings, one of which is used to define the governing operator and the other to define the feasible set. These kinds of variational inequalities include monotone inclusions and convex optimization problems to be solved over the fixed po...

*Correspondence: [email protected] 2Department of Mathematics and Applied Mathematics, University of Pretoria, Lynwood Road, Pretoria, 002, South Africa Full list of author information is available at the end of the article Abstract In this paper, employing a new concept of generalized compatibility of a pair of mappings defined on a product space, certain coupled coincidence point results...