نتایج جستجو برای: fixed point index theory

تعداد نتایج: 1735702  

2016
PHILLIP LO

The Brouwer Fixed Point Theorem states that any continuous mapping from a closed ball in Euclidean space to itself has at least one fixed point. This theorem has a wide variety of applications in areas such as differential equations, economics, and game theory. Although this is fundamentally an analytic and topological statement, there exists an elegant combinatorial proof using Sperner’s Lemma...

2013
Robert F. Brown Kameran Kolahi

Let (φ, ψ) be an (m,n)-valued pair of maps φ, ψ : X ( Y , where φ is an m-valued map and ψ is n-valued, on connected finite polyhedra. A point x ∈ X is a coincidence point of φ and ψ if φ(x) ∩ ψ(x) 6= ∅. We define a Nielsen coincidence number N(φ : ψ) which is a lower bound for the number of coincidence points of all (m,n)-valued pairs of maps homotopic to (φ, ψ). We calculate N(φ : ψ) for all ...

پایان نامه :وزارت علوم، تحقیقات و فناوری - دانشگاه مراغه - دانشکده علوم پایه 1393

در این پایان نامه، متریک فازی یک تابع حقیقی مقدار نامنفی روی گردایه ای از تمام نقاط فازی یک مجموعه $x$ مورد مطالعه قرار گرفته و تعمیمی از فضای متری فازی ارائه می گردد. علاوه بر آن تحت مفروضات مشخص نتایج متناظر قضایای نقطه ثابت باناخ و کریکز مورد بررسی قرار می گیرد. این پایان نامه توسیعی از مقاله ذیل است: a. deb ray and p. k. saha. fixed point theorems on generalized fuzzy metric spaces, ha...

Journal: :bulletin of the iranian mathematical society 2016
m. jain n. gupta s. kumar

in this note we point out and rectify some errors in a recently published paper “n. singh, r. jain: coupled fixed point results for weakly related mappings in partially ordered metric spaces, bull. iranian math. soc. 40 (2014), no. 1, 29-40”.

Journal: :bulletin of the iranian mathematical society 2014
naval singh reena jain

in the present paper‎, ‎we show the existence of a coupled fixed point for a non-decreasing mapping in partially ordered complete metric space using a partial order induced by an appropriate function $phi$‎. ‎we also define the concept of weakly related mappings on an ordered space‎. ‎moreover common coupled fixed points for two and three weakly related mappings are also proved in the same space‎.

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