Results 21 to 30 of about 7,173,087 (42)

Two Discrete Inequalities of Grüss Type Via Pólya-Szegö and Shisha Results for Real Numbers [PDF]

open access: yes, 2002
Some new Grüss type discrete inequalities for nonnegative real numbers and applications for the moments of guessing mappings are ...
Dragomir, Sever S, Khan, Lutfar R
core   +5 more sources

Common Fixed Points of Weak Contractions in Cone Metric Spaces

open access: yesAbstract and Applied Analysis, Volume 2012, Issue 1, 2012., 2012
Results on common fixed points of mappings in cone metric spaces under weak contractive conditions (B. S. Choudhury and N. Metiya (2010)) are unified and generalized. Also, cone metric versions of some other related results on weak contractions are proved. Examples show that our results are different than the existing ones.
Hui-Sheng Ding   +4 more
wiley   +1 more source

On the diaphony of one class of one‐dimensional sequences

open access: yesInternational Journal of Mathematics and Mathematical Sciences, Volume 19, Issue 1, Page 115-124, 1996., 1992
In the present paper, we consider a problem of distribution of sequences in the interval [0, 1), the so‐called ′Pr‐sequences′ We obtain the best possible order O(N−1(logN)1/2) for the diaphony of such Pr‐sequences. For the symmetric sequences obtained by symmetrization of Pr‐sequences, we get also the best possible order O(N−1(logN)1/2) of the ...
Vassil St. Grozdanov
wiley   +1 more source

A Grüss Type Inequality for Sequences of Vectors in Normed Linear Spaces and Applications [PDF]

open access: yes, 2002
A discrete inequality of Grüss type in normed linear spaces and applications for the discrete Fourier transform, Mellin transform of sequences, for polynomials with coefficients in normed spaces and for vector valued Lipschitzian mappings are ...
Dragomir, Sever S
core   +4 more sources

Generalized Proinov-type contractions using simulation functions with applications to fractals

open access: yes, 2023
The intention of this article is to introduce a generalization of Proinov-type contraction via simulation functions. We name this generalized contraction map as Proinov-type Z-contraction.
Kumar, D. Ramesh, Puthusseri, Athul
core  

On Unified Fixed Point and Convergence Results for Generalized Enriched Contractions With Applications

open access: yesJournal of Mathematics, Volume 2026, Issue 1, 2026.
In this paper, we introduce a new class of generalized contractions, called enriched (Ψ, φ)‐contractions. Within this framework, we establish several fixed‐point theorems together with corresponding convergence results, which extend and unify a range of existing results in the literature.
Muhammad Umar Javed   +4 more
wiley   +1 more source

Generalization of Proinov Contraction in Non-Triangular Metric Space

open access: yes
The main purpose of this paper is to find the conditions under which it will be sufficient to establish the existence of a unique fixed point in the non-triangular metric space for the auxiliary functions $\psi$ and $\phi$ satisfying the contractive ...
Dhananjay Gopal   +2 more
core   +1 more source

A General Ostrowski Type Inequality for Double Integrals [PDF]

open access: yes, 2000
Some generalisations of an Ostrowski Type Inequality in two dimensions for n-time differentiable mappings are given. The result is an Integral Inequality with bounded n-time derivatives.
Hanna, George T   +2 more
core   +2 more sources

Discussions on Proinov- C b -Contraction Mapping on b -Metric Space

open access: yesJournal of Function Spaces, 2023
In the present paper, we introduce the notion of Proinov-Cb-contraction mapping and we discuss it within the most interesting abstract structure, namely, b-metric spaces.
Andreea Fulga, Erdal Karapınar
exaly   +3 more sources

Fixed Points of Proinov E-Contractions

open access: yesSymmetry, 2021
In this paper, we consider a new type of Proinov contraction on the setting of a symmetrical abstract structure, more precisely, the metric space. Our goal is to expand on some results from the literature using admissible mappings and the concept of E ...
Selma Gulyaz Özyurt, Andreea Fulga
exaly   +3 more sources

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