Fixed Points of Geraghty-Type Mappings in Various Generalized Metric Spaces by Dušan Ðukić, Zoran Kadelburg, Stojan Radenović

“…Fixed point theorems for mappings satisfying Geraghty-type contractive conditions are proved in the frame of partial metric spaces, ordered partial metric spaces, and metric-type spaces. …”
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Common Fixed Point Theorems for a Pair of Self-Mappings in Fuzzy Cone Metric Spaces by Saif Ur Rehman, Yongjin Li, Shamoona Jabeen, Tayyab Mahmood

“…In this paper, we present some common fixed point theorems for a pair of self-mappings in fuzzy cone metric spaces under the generalized fuzzy cone contraction conditions. We extend and improve some recent results given in the literature.…”
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Solvability for Discrete Fractional Boundary Value Problems with a p-Laplacian Operator by Weidong Lv

“…Some existence and uniqueness results are obtained by means of the Banach contraction mapping principle. Additionally, two representative examples are presented to illustrate the effectiveness of the main results.…”
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Existence and Uniqueness of Solution to Nonlinear Boundary Value Problems with Sign-Changing Green’s Function by Peiguo Zhang, Lishan Liu, Yonghong Wu

“…By using the cone theory and the Banach contraction mapping principle, the existence and uniqueness results are established for nonlinear higher-order differential equation boundary value problems with sign-changing Green’s function. …”
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On Generalized Caristi Type Satisfying Admissibility Mappings by Mohammed M. A. Almazah, Basel Hardan, Ahmed A. Hamoud, Faisal A. M. Ali

“…In this article, the existence and uniqueness of a fixed point were investigated using the concept of σ,γ-contractive in the context of Hausdorff metric space. …”
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Positive Solution to a Fractional Boundary Value Problem by A. Guezane-Lakoud, R. Khaldi

“…By means of Banach contraction principle, Leray-Schauder nonlinear alternative, properties of the Green function, and Guo-Krasnosel'skii fixed point theorem on cone, some results on the existence, uniqueness, and positivity of solutions are obtained.…”
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Some existence and uniqueness results for first-order boundary value problems for impulsive functional differential equations with infinite delay in Fréchet spaces by John R. Graef, Abdelghani Ouahab

“…A recent nonlinear alternative for contraction maps in Fréchet spaces due to Frigon and Granas is used to investigate the existence and uniqueness of solutions to first-order boundary value problems for impulsive functional differential equations with infinite delay. …”
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On Orthogonal Partial b-Metric Spaces with an Application by Khalil Javed, Hassen Aydi, Fahim Uddin, Muhammad Arshad

“…We ensure the existence of a unique fixed point for some orthogonal contractive type mappings. Some useful examples are given, and an application is also provided in support of the obtained results.…”
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A Group Rotate-Vector Algorithm for Mixed-Variable Optimization Problems by Zhongming Li, Lutao Yan, Haiyuan Li, Lianxin Wang

“…This study presents a heuristic approach for solving mixed-variable optimization using rotation and contraction of vectors. The current optimization algorithm, known as rotate-vector, has shown promising results in solving optimization problems with real or integer variables. …”
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Melanopsin Contribution to Pupillary Light Reflex and Brightness Perception Based on a 65-Inch Four-Primary Projected Display by Nianfang Zhu, Yan Tu, Lili Wang, Yunyang Shi

“…The results showed that the higher melanopic luminance level contributed to delayed contraction maintenance. Moreover, a log relationship was found between melanopic equivalent daylight luminance and pupillary contraction maintenance parameters with coefficient of determination more than 0.85. …”
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Impaired Ability to Suppress Excitability of Antagonist Motoneurons at Onset of Dorsiflexion in Adults with Cerebral Palsy by Svend Sparre Geertsen, Henrik Kirk, Jens Bo Nielsen

“…Furthermore, the central common drive to dorsiflexor motoneurons during a static contraction in the two groups was examined by coherence analyses. …”
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Viscosity Approximation Methods for Nonexpansive Nonself-Mappings in Hilbert Spaces by Rabian Wangkeeree

“…Let C be a nonempty closed convex subset of Hilbert space H, P a metric projection of H onto C and let T be a nonexpansive nonself-mapping from C into H. For a contraction f on C and {tn}⊆(0,1), let xn be the unique fixed point of the contraction x↦tnf(x)+(1−tn)(1/n)∑j=1n(PT)jx. …”
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Beyond unital noise in variational quantum algorithms: noise-induced barren plateaus and limit sets by Phattharaporn Singkanipa, Daniel A. Lidar

“…Here, we generalize the study of NIBPs to more general completely positive, trace-preserving maps, investigating the existence of NIBPs in the unital case and a class of non-unital maps we call Hilbert-Schmidt (HS)-contractive. The latter includes amplitude damping. …”
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Muscle Strength Weighting Based on Deep Learning and Wavelet Packet and Muscle Fatigue Analysis Based on L-Z Complexity by Zhizhong Liu

“…The L-Z complexity reflects the changes in muscle fiber recruitment during muscle fatigue and contraction to a certain extent, and provides a scientific basis for judging the fatigue state.…”
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Muscle Activity of Core Muscles During Plank Exercise on Different Surfaces by Ufuk Şekir, Huseyin Topçu, Serkan Pancar, Yakup Zühtü Birinci, Ali Kamil Güngör, Ramiz Arabacı

“…The sEMG amplitude has been normalized against the maximum voluntary contraction (MVC) trial that yielded the highest peak torque value during isometric contractions of the related muscles. …”
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Patterns of colonic dismotility and visceral hypersensitivity at various clinical variants of irritable bowel syndrome by Ekaterina A. Bubnova, O. Yu. Fomenko, I. L. Khalif, V. V. Pavlenko

“…Several patterns of motor activity were determined according to the frequency of contractions: hypokinetic, hypokinetic with segmental contractions, proximal to distal regions contraction discoordination, normokinetic and hyperkinetic. …”
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Fixed point theorems for densifying mappings and compact mappings by Zeqing Liu, Li Wang, Shin Min Kang, Yong Soo Kim

“…The purpose of this note is to establish fixed point theorems for densifying mappings and compact mappings which are contractive in metric spaces and to investigate the existence of fixed points for a family of mappings in bounded metric spaces. …”
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Existence of Solutions for Fractional Integro-Differential Equation with Multipoint Boundary Value Problem in Banach Spaces by Yulin Zhao, Li Huang, Xuebin Wang, Xianyang Zhu

“…By means of the fixed-point theorem in the cone of strict-set-contraction operators, we consider the existence of a nonlinear multi-point boundary value problem of fractional integro-differential equation in a Banach space. …”
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Fixed Point Theorems in Complete Cone Metric Spaces over Banach Algebras by Seong-Hoon Cho

“…Finally, applications of our main result to cyclic mappings and weak contraction type mappings are given.…”
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Existence of Periodic Solutions for Shunting Inhibitory Cellular Neural Networks with Neutral Delays by Ninghua Chen

“…By applying the theory of abstract continuation theorem of k-set contractive operator and some analysis technique, a new result on the existence of periodic solutions is obtained.…”
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