Odd Periodic Solutions of Fully Second-Order Ordinary Differential Equations with Superlinear Nonlinearities by Yongxiang Li, Lanjun Guo

“…Under certain inequality conditions that f(t,x,y) may be superlinear growth on (x,y), an existence result of odd 2π-periodic solutions is obtained via Leray-Schauder fixed point theorem.…”
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Positive Periodic Solutions for Impulsive Functional Differential Equations with Infinite Delay and Two Parameters by Zhenguo Luo, Liping Luo, Yunhui Zeng

“…We apply the Krasnoselskii’s fixed point theorem to study the existence of multiple positive periodic solutions for a class of impulsive functional differential equations with infinite delay and two parameters. …”
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C1-Almost Periodic Solutions of BAM Neural Networks with Time-Varying Delays on Time Scales by Yongkun Li, Lili Zhao, Li Yang

“…By employing a fixed point theorem and differential inequality techniques, some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for this class of networks with time-varying delays are established. …”
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Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model by Rui Li, Haoqian Zhang, Hao Tao

“…Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets.…”
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Integral Equations Approach in Complex-Valued Generalized b-Metric Spaces by Shahid Mehmood, Saif Ur Rehman, Ihsan Ullah, Rashad A. R. Bantan, Mohammed Elgarhy

“…In this paper, we study a rational type common fixed-point theorem (CFP theorem) in complex-valued generalized b-metric spaces (Gb-metric spaces) by using three self-mappings under the generalized contraction conditions. …”
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Solvability of a Quadratic Integral Equation of Fredholm Type with Supremum in Hölder Spaces by J. Caballero Mena, R. Nalepa, K. Sadarangani

“…Using the classical Schauder fixed point theorem, we prove the existence of solutions of a quadratic integral equation of Fredholm type with supremum in the space of functions satisfying the Hölder condition.…”
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Existence and Stability of Square-Mean S-Asymptotically Periodic Solutions to a Fractional Stochastic Diffusion Equation with Fractional Brownian Motion by Jia Mu, Jiecuo Nan, Yong Zhou

“…In addition, with the fixed-point theorem and the properties of Mittag–Leffler functions, some results of the existence as well as asymptotic stability of square-mean S-asymptotically periodic solutions to a fractional stochastic diffusion equation with fractional Brownian motion are obtained. …”
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Impulsive Coupled System of Fractional Differential Equations with Caputo–Katugampola Fuzzy Fractional Derivative by Leila Sajedi, Nasrin Eghbali, Hassen Aydi

“…We applied the Perov-type fixed point theorem to prove the existence and uniqueness of the proposed system. …”
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On the Space of Functions with Growths Tempered by a Modulus of Continuity and Its Applications by Józef Banaś, Rafał Nalepa

“…Using that condition and the classical Schauder fixed point theorem, we show the existence theorem for some quadratic integral equations of Fredholm type in the space of functions satisfying the Hölder condition. …”
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Positive Solutions for Nonlinear Singular Differential Systems Involving Parameter on the Half-Line by Lishan Liu, Ying Wang, Xinan Hao, Yonghong Wu

“…By using the upper-lower solutions method and the fixed-point theorem on cone in a special space, we study the singular boundary value problem for systems of nonlinear second-order differential equations involving two parameters on the half-line. …”
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Controllability of Impulsive Neutral Functional Differential Inclusions in Banach Spaces by X. J. Wan, Y. P. Zhang, J. T. Sun

“…Our main aim is to find an effective method to solve the controllability problem of impulsive neutral functional differential inclusions with multivalued jump sizes in Banach spaces. Based on a fixed point theorem with regard to condensing map, sufficient conditions for the controllability of the impulsive neutral functional differential inclusions in Banach spaces are derived. …”
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Twin Positive Solutions of a Nonlinear m-Point Boundary Value Problem for Third-Order p-Laplacian Dynamic Equations on Time Scales by Wei Han, Guang Zhang

“…Several existence theorems of twin positive solutions are established for a nonlinear m-point boundary value problem of third-order p-Laplacian dynamic equations on time scales by using a fixed point theorem. We present two theorems and four corollaries which generalize the results of related literature. …”
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Transportation Inequalities for Coupled Fractional Stochastic Evolution Equations Driven by Fractional Brownian Motion by Wentao Zhan, Yuanyuan Jing, Liping Xu, Zhi Li

“…Our approach is based on Perov’s fixed-point theorem. Furthermore, we establish the transportation inequalities, with respect to the uniform distance, for the law of the mild solution.…”
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A Nonlocal Cauchy Problem for Fractional Integrodifferential Equations by Fang Li, Jin Liang, Tzon-Tzer Lu, Huan Zhu

“…We establish an existence theorem for mild solutions to the nonlocal Cauchy problem, by virtue of measure of noncompactness and the fixed point theorem for condensing maps. As an application, the existence of the mild solution to a nonlocal Cauchy problem for a concrete integrodifferential equation is obtained.…”
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Existence and Exponential Stability of Equilibrium Point for Fuzzy BAM Neural Networks with Infinitely Distributed Delays and Impulses on Time Scales by Yongkun Li, Lijie Sun, Li Yang

“…By using the fixed point theorem and constructing a Lyapunov functional, we establish some sufficient conditions on the existence, uniqueness, and exponential stability of equilibrium point for a class of fuzzy BAM neural networks with infinitely distributed delays and impulses on time scales. …”
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On the Solution Existence of Variational-Like Inequalities Problems for Weakly Relaxed η−α Monotone Mapping by Marwan Amin Kutbi, Wutiphol Sintunavarat

“…Also, we obtain the existence of solution for variational-like problems with weakly relaxed η-α semimonotone mappings in arbitrary Banach spaces by using the Kakutani-Fan-Glicksberg fixed-point theorem.…”
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Semianalytical Solutions of Some Nonlinear-Time Fractional Models Using Variational Iteration Laplace Transform Method by Javed Iqbal, Khurram Shabbir, Liliana Guran

“…Moreover, possible consequences of these results as an application of fixed-point theorem are placed before the experts as an open problem.…”
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Existence and Positivity of Solutions for a Second-Order Boundary Value Problem with Integral Condition by Assia Guezane-Lakoud, Hamidane Nacira, Khaldi Rabah

“…The arguments are based on Banach contraction principle, Leray Schauder nonlinear alternative, and Guo-Krasnosel’skii fixed point theorem in cone. Two examples are also given to illustrate the main results.…”
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On the Fractional Variable Order Thermostat Model: Existence Theory on Cones via Piece-Wise Constant Functions by Shahram Rezapour, Mohammed Said Souid, Zoubida Bouazza, Azhar Hussain, Sina Etemad

“…By Guo-Krasnoselskii’s fixed point theorem on cones, we derive the required conditions ensuring the existence property for positive solutions. …”
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Existence and Compactness Results for a System of Fractional Differential Equations by Cheikh Guendouz, Jamal Eddine Lazreg, Juan J. Nieto, Abdelghani Ouahab

“…The existence and uniqueness, boundedness, and continuous dependence of solutions for fractional differential equations with Caputo fractional derivative is proven by Perov’s fixed point theorem in vector Banach spaces. We study the existence and compactness of solution sets and the u.s.c. of operator solutions.…”
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