Results 1 to 10 of about 303,849 (185)

Generalized contraction principle [PDF]

International Journal of Mathematics and Mathematical Sciences, 1983
Fixed point theorems are proved for contraction maps on M-convex spaces.
Dipak Chatterjee
doaj   +3 more sources

Relation-Theoretic Contraction Principle In Metric Spaces Using Multiplicative Contraction

Ratio Mathematica, 2023
Alam and Imdad have presented a novel application of the Banach contraction principle on a complete metric spaces with a binary relation. We have extended the concept of binary relation with the multiplicative contraction in a complete metric spaces.
Radha Yadav, Balbir Singh
doaj   +1 more source

Refinements to Relation-Theoretic Contraction Principle

Axioms, 2022
After the appearance of relation-theoretic contraction principle proved in a metric space equipped with an amorphous binary relation (often termed as relational metric space), various core fixed point results have been proved in the setting of different ...
Aftab Alam, Reny George, Mohammad Imdad
doaj   +1 more source

On the Perov's type (β,F)-contraction principle and an application to delay integro-differential problem

AIMS Mathematics, 2023
We present Perov's type $ (\beta, F) $-contraction principle and examine the fixed points of the self-operators satisfying Perov's type $ (\beta, F) $-contraction principle in the context of vector-valued $ b $-metrics.
Muhammad Nazam , Hijaz Ahmad, Muhammad Waheed , Sameh Askar   +3 more
doaj   +1 more source

Iterates of a modified Bernstein type operator

Journal of Numerical Analysis and Approximation Theory, 2019
Using the weakly Picard operators technique and the contraction principle, we study the convergence of the iterates of some modified Bernstein type operators.
Teodora Catinas
doaj   +7 more sources

A unified theory of cone metric spaces and its applications to the fixed point theory [PDF]

, 2011
In this paper we develop a unified theory for cone metric spaces over a solid vector space. As an application of the new theory we present full statements of the iterated contraction principle and the Banach contraction principle in cone metric spaces ...
Proinov, Petko D.
core   +2 more sources

Iterates of q-Bernstein operators on triangular domain with all curved sides

Demonstratio Mathematica, 2022
In this article, Phillips-type Bernstein operators (ℬm,qtF)(t,s)({{\mathcal{ {\mathcal B} }}}_{m,q}^{t}F)\left(t,s) and (ℬn,qsF)(t,s)({{\mathcal{ {\mathcal B} }}}_{n,q}^{s}F)\left(t,s), their products, and Boolean sum based on q-integer have been studied
Iliyas Mohammad, Khan Asif, Arif Mohd, Mursaleen Mohammad, Lone Mudassir Rashid   +4 more
doaj   +1 more source

Calculation of Contraction Coefficient under Sluice Gates and Application to Discharge Measurement [PDF]

, 2009
The contraction coefficient under sluice gates on flat beds is studied for both free flow and submerged conditions based on the principle of momentum conservation, relying on an analytical determination of the pressure force exerted on the upstream face ...
Baume, Jean-Pierre, Belaud, Gilles, Cassan, Ludovic   +2 more
core   +1 more source

Generalized contraction principle under relatively weaker contraction in partial metric spaces

Advances in Difference Equations, 2019
In this paper, we introduce the concept of a generalized weak (ϕ,R) $(\phi,\mathcal{R})$-contraction and employ this to prove some fixed point results for self-mappings in partial metric spaces endowed with a binary relation R $\mathcal{R}$.
Atiya Perveen, Izhar Uddin, Mohammad Imdad   +2 more
doaj   +1 more source

A discrete fixed point theorem of Eilenberg as a particular case of the contraction principle

Fixed Point Theory and Applications, 2004
We show that a discrete fixed point theorem of Eilenberg is equivalent to the restriction of the contraction principle to the class of non-Archimedean bounded metric spaces.
Jacek Jachymski
doaj   +2 more sources