Results 61 to 70 of about 5,813,281 (301)

Fixed Point Theorem for Uncommuting Mappings

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2017
   In this paper we prove a theorem about the existence and uniqueness common fixed point for two uncommenting self-mappings which defined on orbitally complete G-metric space. Where we use a general contraction condition.  
Salwa S. Abd, Alaa Abd-ullah
doaj  

Consensus Formation and Change are Enhanced by Neutrality

Advanced Science, EarlyView.
Neutral agents are shown to enhance both the formation and overturning of consensus in collective decision‐making. A general mathematical model and experiments with locusts and humans reveal that neutrality enables robust consensus via simple interactions and accelerates consensus change by reducing effective population size.
Andrei Sontag, Janina A. Hoffmann, Tim Rogers, Christian A. Yates   +3 more
wiley   +1 more source

BANACH FIXED POINT THEOREM [PDF]

, 2019
Banach fixed point theorem (contraction theorem) is a unique fixed point theorem on a mapping called the contraction of a complete metric space into it self. The space is said to be complete if every Cauchy sequence in converges.
Alsitaningtyas, Yunike Jemis Fifnelavindy
core   +1 more source

Fixed Point Theorem in Fuzzy Metric Space

Fuzzy Optimization and Modeling
In this present work, we prove fixed point theorem for contractive mapping F: X--X in fuzzy metric spaces that have a nonempty F− invariant complete subspace E, then prove the uniqueness the fixed point in E.
Samaneh Ghods
doaj   +1 more source

A fixed point theorem for multivalued mappings

Electronic Journal of Qualitative Theory of Differential Equations, 2004
A generalization of the Leray-Schauder principle for multivalued mappings is given. Using this result, an existence theorem for an integral inclusion is obtained.
C. Avramescu
doaj   +1 more source

Approximation Theorems and Fixed Point Theorem in Cones [PDF]

Proceedings of the American Mathematical Society, 1988
In this paper, we investigate the validity of an interesting theorem of Fan [ 3 , Theorem 2] in cones. We prove that it is true for a continuous condensing map defined on a closed ball in cones.
openaire   +1 more source

Some fixed point theorems for discontinuous mappings [PDF]

This paper provides a fixed point theorem à la Schauder, where the mappings considered are possibly discontinuous. Our main result generalizes and unifies several well-known results.Schauder fixed point theorem, Brouwer fixed point theorem, discontinuity.
Philippe Bich
core  

A Perspective on Interactive Theorem Provers in Physics

Advanced Science, EarlyView.
Into an interactive theorem provers (ITPs), one can write mathematical definitions, theorems and proofs, and the correctness of those results is automatically checked. This perspective goes over the best usage of ITPs within physics and motivates the open‐source community run project PhysLean, the aim of which is to be a library for digitalized physics
Joseph Tooby‐Smith
wiley   +1 more source

A Generalization of Kannan's Fixed Point Theorem

Fixed Point Theory and Applications, 2009
In order to observe the condition of Kannan mappings, we prove a generalization of Kannan's fixed point theorem. Our theorem involves constants and we obtain the best constants to ensure a fixed point.
Yusuke Enjouji, Masato Nakanishi, Tomonari Suzuki   +2 more
doaj   +1 more source

A Short And Constructive Proof of Tarski's Fixed-Point Theorem [PDF]

I give short and constructive proofs of Tarski's fixed-point theorem, and of a much-used extension of Tarski's fixed-point theorem to set- valued maps.tarski, fixed-point theorem, supermodular, supermodular games, strategic complementarities, equilibrium
Federico Echenique
core