Results 71 to 80 of about 585,872 (348)

COUPLED FIXED POINT THEOREMS OF INTEGRAL TYPE MAPPINGS IN CONE METRIC SPACES [PDF]

open access: yes, 2012
In this paper, we prove some coupled fixed point theorems in cone metric spaces. Furthermore, we introduce and prove the integral version of coupled fixed point theorems in cone metric spaces.
Akewe, H, Okeke, G.A., Olaleru, J.O.
core  

Fixed point theorems for $\alpha$--contractive mappings of Meir--Keeler type and applications

open access: yes, 2013
In this paper, we introduce the notion of $\alpha$--contractive mapping of Meir--Keeler type in complete metric spaces and prove new theorems which assure the existence, uniqueness and iterative approximation of the fixed point for this type of ...
Berzig, Maher, Rus, Mircea-Dan
core   +1 more source

On the Lefschetz Fixed Point Theorem [PDF]

open access: yes, 2005
The abstract version of the Lefschetz fixed point theorem is proved which states the following: If \(X\) is a metric space and if \(X_0\subset X\) is such that \(X_0\) absorbs compact sets, \(f\:X\to X\) is a continuous map, \(f(X_0) \subset X_0\) and \(f/X_0\) is a Lefschetz map, then \(f\) is also (on \(X\)) a Lefschetz map. Here a continuous map \(f\
openaire   +2 more sources

Mechanical Properties of Architected Polymer Lattice Materials: A Comparative Study of Additive Manufacturing and CAD Using FEM and µ‐CT

open access: yesAdvanced Functional Materials, EarlyView.
This study examines how pore shape and manufacturing‐induced deviations affect the mechanical properties of 3D‐printed lattice materials with constant porosity. Combining µ‐CT analysis, FEM, and compression testing, the authors show that structural imperfections reduce stiffness and strength, while bulk material inhomogeneities probably enhance ...
Oliver Walker   +5 more
wiley   +1 more source

Fixed point theorems for generalized weakly contractive mappings [PDF]

open access: yesSurveys in Mathematics and its Applications, 2009
In this paper several fixed point theorems for generalized weakly contractive mappings in a metric space setting are proved. The set of generalized weakly contractive mappings considered in this paper contains the family of weakly contractive mappings as
Ramendra Krishna Bose   +1 more
doaj  

Design and Applications of Multi‐Frequency Programmable Metamaterials for Adaptive Stealth

open access: yesAdvanced Functional Materials, EarlyView.
This article provides a comprehensive overview of metamaterials, including their fundamental principles, properties, synthesis techniques, and applications in stealth, as well as their challenges and future prospects. It covers topics that are more advanced than those typically discussed in existing review articles, while still being closely connected ...
Jonathan Tersur Orasugh   +4 more
wiley   +1 more source

On Suzuki-Wardowski type fixed point theorems

open access: yesJournal of Nonlinear Science and its Applications, 2015
Recently, Piri and Kumam (Fixed Point Theory and Applications 2014, 2014:210) improved concept of F-contraction and proved some Wardowski and Suzuki type …xed point results in metric spaces.
N. Hussain   +3 more
semanticscholar   +1 more source

Approximation Theorems and Fixed Point Theorem in Cones [PDF]

open access: yesProceedings 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. A more interesting case is that we prove that it is true on an annulus if suitable inner boundary conditions are posed. As applications of our theorems, some new
openaire   +1 more source

Digital Discovery of Synthesizable Metal−Organic Frameworks via Molecular Dynamics‑Informed, High‑Fidelity Deep Learning

open access: yesAdvanced Functional Materials, EarlyView.
Tabular foundation model interrogates the synthetic likelihood of metal−organic frameworks. Abstract Metal–organic frameworks (MOFs) are celebrated for their chemical and structural versatility, and in‑silico screening has significantly accelerated their discovery; yet most hypothetical MOFs (hMOFs) never reach the bench because their synthetic ...
Xiaoyu Wu   +3 more
wiley   +1 more source

SOME FIXED POINT THEOREMS

open access: yesDemonstratio Mathematica, 1996
Let \((X,d)\) be a bounded metric space and \(T:X\to \text{CB} (X)\) a set-valued mapping. Let \(O(x)\) be the orbit of \(x\) by the mapping \(T\) and let \(\delta(A,B)\) be the diameter of the pair \(A,B\subset X\). The author gives some strict fixed point theorems for some set-valued mappings which satisfy the following condition \[ \delta (Tx,Ty ...
openaire   +2 more sources

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