An approach to fixed point theory based on the notion of fuzzy order is proposed. Such an approach extends both the fixed point theory in ordered sets and the fixed point theory in metric spaces. This since the fuzzy orders are strictly related with the quasi-metrics as defined by A. K. Seda in [10]. The aim is to give new tools for logic programming and for approximate reasoning.

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...

In this thesis, we present algorithmic solutions to shortest path queries on polyhedral surfaces and in polygonal domains. The research problems addressed in this thesis and shortest path problems in general are fundamental problems in geographic information systems (GIS) and computational geometry. We present novel algorithms that answer approximate shortest path queries between any pair of po...

metric spaces and approximating fixed points of a pair of contractive type mappings M. Abbas, M. Jovanović, S. Radenović University of Belgrade School of Electrical Engineering http://www.etf.bg.ac.rs JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS, Vol. 13, No. 2, pp. 243253, Jan, 2011 References: Abstract: Recently, Chao Wang, Jinghao Zhu, Boško Damjanović, Liang-gen Hu [Approximating fixe...

*Correspondence: [email protected] 1Department of Mathematics, College of Sciences, King Saud University, Riyadh, Saudi Arabia Full list of author information is available at the end of the article Abstract In this paper, we investigate the common approximate fixed points of monotone nonexpansive semigroups of nonlinear mappings {T (t)}t≥0, i.e., a family such that T (0)x = x, T (s + t)x = T (...

Mathematical methods are extensively used in dealing with simulation and approximation problems related to computer science, engineering, physics, many others [...]

The main purpose of this paper is to study the existence of a fixed points in fuzzy n-normed spaces. we proved our main results, a fixed point theorem for a self mapping and a common fixed point theorem for a pair of weakly compatible mappings on fuzzy n-normed spaces. Also we gave some remarks on fuzzy n-normed spaces.