Results 121 to 130 of about 3,836,386 (143)

Nonlinear Contractions on Semimetric Spaces

Journal of Applied Analysis, 1995
Abstract Let (X, d) be a Hausdorff semimetric (d need not satisfy the triangle inequality) and d–Cauchy complete space. Let ƒ be a selfmap on X, for which d(ƒx, ƒy) ≤ φ(d(x, y)), (x, y ∈ X), where φ is a non– decreasing function from R +, the nonnegative reals, into R + such that φn ...
J. Jachymski, J. Matkowski, T. Świa̧tkowski   +2 more
exaly   +3 more sources

Caristi’s fixed point theorem in semimetric spaces

Journal of Fixed Point Theory and Applications, 2018
In [Lect. Notes Math. 490, 74--83 (1975; Zbl 0315.54052)], \textit{J. Caristi} and \textit{W. A. Kirk} proved an interesting fixed point theorem in complete metric space for $T$ satisfying a special condition. This result was extended by \textit{W. A. Kirk} and \textit{N. Shahzad} [J. Fixed Point Theory Appl. 17, No. 3, 541--555 (2015; Zbl 1326.54045)]
Tomonari Suzuki
exaly   +2 more sources

Fixed points and Cauchy sequences in semimetric spaces

Journal of Fixed Point Theory and Applications, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Naseer Shahzad, W A Kirk
exaly   +2 more sources

On regular semimetric spaces having strong triangle functions

Journal of Fixed Point Theory and Applications, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Võ Lệ Hằng
exaly   +3 more sources

Interval semimetric spaces for approximate distances.

, 2005
In accordance with the ideas of Interval Analysis, a notion of interval-valued semimetric space is proposed. Also, the possibility of applying the resulting theory to some chapters of Computer Science is examined.
COPPOLA, CRISTINA, PACELLI, TIZIANA
openaire   +4 more sources

MAPPINGS CONTRACTING THE TOTAL PAIRWISE DISTANCES IN SEMIMETRIC SPACES WITH TRIANGLE FUNCTIONS: PERIODIC AND MULTIPLE FIXED POINTS

Journal of Mathematical Sciences
This paper extends a recently introduced class of mappings contracting the total pairwise distances - an n-point extension of the Banach contraction principle - within the framework of semimetric spaces, employing triangle functions as defined by Bessenyei and Páles in [13].
Ravindra K Bisht
exaly   +2 more sources

New approaches for optimizing over the semimetric polytope [PDF]

Mathematical Programming, 2005
The semimetric polytope is an important polyhedral structure lying at the heart of hard combinatorial problems. Therefore, linear optimization over the semimetric polytope is crucial for a number of relevant applications.
Andrea Lodi, Antonio Frangioni, Giovanni Rinaldi   +2 more
exaly   +2 more sources

On the Existence of Bi-Lipschitz Equivalent Metrics in Semimetric Spaces

Mathematica Slovaca, 2023
ABSTRACTWe provide an overview of the known problem on the existence of a bi-Lipschitz equivalent metric with respect to a given quasi-ultrametric, revisiting known results and counterexamples in an unified approach based on the existence of a relaxed polygonal inequality. We present new proofs and characterizations of classical results using different
Caruso, Andrea Orazio, Palmisano, Vincenzo   +1 more
openaire   +2 more sources

Perimetric contraction principle on quadrilaterals in semimetric spaces with triangle functions

Acta Mathematica Hungarica
Ravindra K Bisht
exaly   +3 more sources

Periodic and multiple fixed points of (F, G)-contractions on k points in semimetric spaces with triangle functions

Journal of Analysis
Ravindra K Bisht
exaly   +2 more sources