Results 71 to 80 of about 295,971 (251)
Fixed point theorem for weakly Chatterjea-type cyclic contractions
, 2013 In this article, we introduce the notion of a Chatterjea-type cyclic weakly contraction and derive the existence of a fixed point for such mappings in the setup of complete metric spaces.
S. Chandok, M. Postolache
semanticscholar +1 more source
Designing High Performance Organic Donor Molecules for Photovoltaics
Advanced Theory and Simulations, EarlyView.Systematically tuning the fusion pattern and length of the π$\pi$‐bridge, along with adjusting the electron‐withdrawing (EW) strength of the terminal groups in small‐molecule donor A-π-Core-π$\text{A-}\pi \text{-Core-}\pi$‐A architectures, enables predictable modulation of the system's opto‐electronic properties.
Fabian Bauch +2 more
wiley +1 more source
On a fixed point theorem of Greguš
International Journal of Mathematics and Mathematical Sciences, 1986 We consider two selfmaps T and I of a closed convex subset C of a Banach space X which are weakly commuting in X, i.e.‖TIx−ITx‖≤‖Ix−Tx‖ for any x in X,and satisfy the inequality‖Tx−Ty‖≤a‖Ix−Iy‖+(1−a)max{‖Tx−Ix‖,‖Ty−Iy‖}for all x, y in C, where ...
Brian Fisher, Salvatore Sessa
doaj +1 more source
Partial Hausdorff metric and Nadlerʼs fixed point theorem on partial metric spaces
, 2012 In this paper, we introduce the concept of a partial Hausdorff metric. We initiate study of fixed point theory for multi-valued mappings on partial metric space using the partial Hausdorff metric and prove an analogous to the well-known Nadlerʼs fixed ...
H. Aydi, M. Abbas, C. Vetro
semanticscholar +1 more source
Sleep Alters the Velocity of Physiological Brain Pulsations in Humans
Advanced Science, EarlyView.Sleep alters I/CSF oscillatory flow, driven by increased respiratory (29%) and vasomotor pulsation (21%) velocities, while cardiovascular pulsations decreased by (22%). Velocity is quantified using optical flow analysis of MREG data. Spectral power increases alongside these pulsations (spatial correlation, r = 0.35 and r = 0.39, respectively ...
Ahmed Elabasy +13 more
wiley +1 more source
A New Fixed Point Theorem and Applications
Abstract and Applied Analysis, 2013 A new fixed point theorem is established under the setting of a generalized finitely continuous topological space (GFC-space) without the convexity structure. As applications, a weak KKM theorem and a minimax inequalities of Ky Fan type are also obtained
Min Fang, Xie Ping Ding
doaj +1 more source
Common fixed point theorem for hybrid generalized multi-valued contraction mappings
Applied Mathematics Letters, 2012 In this paper, we introduce the notion of a hybrid generalized multi-valued contraction mapping and establish the common fixed point theorem for this mapping.
W. Sintunavarat, Poom Kumam
semanticscholar +1 more source
Heuristically Adaptive Diffusion‐Model Evolutionary Strategy
Advanced Science, EarlyView.Building on the mathematical equivalence between diffusion models and evolutionary algorithms, researchers demonstrate unprecedented control over evolutionary optimization through conditional diffusion. By training diffusion models to associate parameters with specific traits, they can guide evolution toward solutions exhibiting desired behaviors ...
Benedikt Hartl +3 more
wiley +1 more source
Ejecta‐Modulated Bubble Dynamics Play a Dominant Role in Stone Retropulsion
Advanced Science, EarlyView.Stone motion during laser ablation is shown to result primarily from asymmetric cavitation bubble collapse, not from ejecta recoil. This challenges long‐standing assumptions and highlights the dominant role of bubble dynamics in laser–material interactions.
Obed S. Isaac +4 more
wiley +1 more source
, 2012 We present a fixed point theorem for generalized contraction in partially ordered complete metric spaces. As an application, we give an existence and uniqueness for the solution of a periodic boundary value problem.
M. Gordji, H. Baghani, G. Kim
semanticscholar +1 more source