Results 31 to 40 of about 11,489,693 (332)
Common fixed point results for a generalized ( ψ, φ )-rational contraction
Applied General Topology, 2023 In this paper, we obtain two common fixed point results for mappings satisfying the generalized (ψ,φ)-contractive type conditions given by a rational expression on a complete metric space.
M. C. Arya, N. Chandra, Mahesh C. Joshi
doaj +1 more source
A fixed point theorem involving rational expressions without using Picard iteration
Topological Algebra and its Applications, 2021 In this paper, we consider a certain fixed point theorem that contains some rational expressions. The main aim of this paper is to prove a fixed point theorem without using the Picard iteration.
Fulga Andreea
doaj +1 more source
Common Fixed Point Results for Mappings with Rational Expressions
Abstract and Applied Analysis, 2013 We obtain some common fi xed point results for single as well as set valued mappings involving certain rational expressions in complete partial metric spaces. In the process, we generalize various results of the literature. Two examples are also included
M. A. Kutbi +3 more
doaj +1 more source
Fixed-Point Theorems for Rational Interpolative-Type Operators with Applications
Journal of Function Spaces, 2020 In the current manuscript, two fixed-point theorems for Dass-Gupta and Gupta-Saxena rational interpolative-type operators are studied in the setting of metric spaces.
Muhammad Sarwar +2 more
doaj +1 more source
Smoothings and rational double point adjacencies for cusp singularities [PDF]
Journal of differential geometry, 2016 A cusp singularity is a surface singularity whose minimal resolution is a cycle of smooth rational curves meeting transversely. Cusp singularities come in naturally dual pairs.
P. Engel, R. Friedman
semanticscholar +1 more source
Fixed Point Results Satisfying Rational Type Contraction in G-Metric Spaces
Journal of Function Spaces, 2016 A unique fixed point theorem for three self-maps under rational type contractive condition is established. In addition, a unique fixed point result for six continuous self-mappings through rational type expression is also discussed.
Branislav Z. Popović +2 more
doaj +1 more source
POINTS ON HYPERBOLAS AT RATIONAL DISTANCE [PDF]
International Journal of Number Theory, 2012 Richard Guy asked for the largest set of points which can be placed in the plane so that their pairwise distances are rational numbers. In this article, we consider such a set of rational points restricted to a given hyperbola. To be precise, for rational numbers a, b, c, and d such that the quantity D = (ad - bc)/(2a2) is defined and non-zero, we ...
Goins, Edray Herber, Mugo, Kevin
openaire +2 more sources
The Topology of Rational Points
Experimental Mathematics, 1992 The aim of this article is to provoke a discussion concerning the general nature of the topological closure of the set of rational solutions of systems of polynomial equations with rational coefficients.
openaire +3 more sources
K3 surfaces, rational curves, and rational points
Journal of Number Theory, 2010 10 pages, no figures. An explicit construction of an algebraic point lying on no smooth rational curves has been added to the end, and there have been minor revisions to the rest of the ...
Baragar, Arthur, McKinnon, David
openaire +3 more sources
The distribution of rational points on conics
Acta Arithmetica, 2023 We examine the counting function for rational points on conics, and show how the point where the asymptotic behaviour begins depends on the size of the smallest zero.
openaire +2 more sources