Concerning Kirk’s problem by Hamid Mottaghi Golshan

“…Fixed Point Theory and Algorithms for Sciences and Engineering…”
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Novel exploration of topological degree method for noninstantaneous impulsive fractional integro-differential equation through the application of filtering system by Kanagaraj Muthuselvan, Baskar Sundaravadivoo, Shankar Rao Munjam, Kottakkaran Sooppy Nisar

“…Fixed Point Theory and Algorithms for Sciences and Engineering…”
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Cyclic Mappings and Further Results in B-Metric-Like Spaces by Shengquan Weng, Quanxin Zhu, Baoying Du, Kaibo Shi

“…Fixed point problem of many mappings has been widely studied in the research work of fixed point theory. The generalized metric space is one of the research objects of fixed point theory. …”
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A Note on Some Best Proximity Point Theorems Proved under P-Property by Ali Abkar, Moosa Gabeleh

“…We show that some recent results concerning the existence of best proximity points can be obtained from the same results in fixed point theory.…”
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Positive Periodic Solutions for a Class of Strongly Coupled Differential Systems with Singular Nonlinearities by Ruipeng Chen, Guangchen Zhang, Jiayin Liu

“…By applying the fixed point theory, several existence results are established. …”
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Existence of Solution to a Second-Order Boundary Value Problem via Noncompactness Measures by Wen-Xue Zhou, Jigen Peng

“…The existence and uniqueness of the solutions to the Dirichlet boundary value problem in the Banach spaces is discussed by using the fixed point theory of condensing mapping, doing precise computation of measure of noncompactness, and calculating the spectral radius of linear operator.…”
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Viscosity solutions of fully nonlinear functional parabolic PDE by Liu Wei-an, Lu Gang

“…Then the existence and uniqueness are established by the fixed point theory.…”
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Stability Conditions of Second Order Integrodifferential Equations with Variable Delay by Dingheng Pi

“…We investigate integrodifferential functional differential equations ẍ+f(t,x,ẋ)ẋ+∫t-r(t)t‍a(t,s)g(x(s))ds=0 with variable delay. By using the fixed point theory, we obtain conditions which ensure that the zero solution of this equation is stable under an exponentially weighted metric. …”
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A Fixed Point Approach to the Stability of the Cauchy Additive and Quadratic Type Functional Equation by Sun Sook Jin, Yang-Hi Lee

“…We investigate the stability of the functional equation 2𝑓(𝑥+𝑦)+𝑓(𝑥−𝑦)+𝑓(𝑦−𝑥)−3𝑓(𝑥)−𝑓(−𝑥)−3𝑓(𝑦)−𝑓(−𝑦)=0 by using the fixed point theory in the sense of Cădariu and Radu.…”
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Stability of a Nonlinear Fractional Langevin System with Nonsingular Exponential Kernel and Delay Control by Kaihong Zhao

“…This manuscript deals with a delayed nonlinear fractional Langevin system with nonsingular exponential kernel. Based on the fixed point theory, some sufficient criteria for the existence and uniqueness of solution are established. …”
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Fixed Point Property of Variable Exponent Cesàro Complex Function Space of Formal Power Series under Premodular by Awad A. Bakery, Elsayed A. E. Mohamed

“…Some geometric properties related to the fixed point theory are presented. Finally, real-world examples and applications show solutions to some nonlinear difference equations.…”
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Stability of ψ-additive mappings: applications to nonlinear analysis by George Isac, Themistocles M. Rassias

“…In this paper some applications in nonlinear analysis are presented, especially in fixed point theory. These kinds of applications seem not to have ever been remarked before by other authors.…”
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Second Order Impulsive Retarded Differential Inclusions with Nonlocal Conditions by Hernán R. Henríquez, Marcos Rabelo, Luciana Vale

“…Our results are obtained by using fixed point theory for the measure of noncompactness.…”
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Positive Solutions for p-Laplacian Fourth-Order Differential System with Integral Boundary Conditions by Jiqiang Jiang, Lishan Liu, Yonghong Wu

“…This paper investigates the existence of positive solutions for a class of singular p-Laplacian fourth-order differential equations with integral boundary conditions. By using the fixed point theory in cones, explicit range for λ and μ is derived such that for any λ and μ lie in their respective interval, the existence of at least one positive solution to the boundary value system is guaranteed.…”
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Double Controlled Partial Metric Type Spaces and Convergence Results by Haroon Ahmad, Mudasir Younis, Mehmet Emir Köksal

“…The proposed results enrich, theorize, and sharpen a multitude of pioneer results in the context of metric fixed point theory. Additionally, we provide numerical examples to illustrate the essence of our obtained theoretical results.…”
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Infinite System of Differential Equations in Some Spaces by M. Mursaleen, Abdullah Alotaibi

“…These measures of noncompactness have various applications in several areas of analysis, for example, in operator theory, fixed point theory, and in differential and integral equations. …”
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Instantaneous and Noninstantaneous Impulsive Integrodifferential Equations in Banach Spaces by Saïd Abbas, Mouffak Benchohra, Gaston M. N'Guérékata

“…Our results are based on the fixed point theory and the concept of measure of noncompactness with the help of the resolvent operator. …”
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Existence Theory for Pseudo-Symmetric Solution to 𝑝-Laplacian Differential Equations Involving Derivative by You-Hui Su, Weili Wu, Xingjie Yan

“…Some new sufficient conditions are obtained for the existence of at least one, triple, or arbitrary odd positive pseudosymmetric solutions by using pseudosymmetric technique and fixed-point theory in cone. As an application, two examples are given to illustrate the main results.…”
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Fixed Points of -Type Quasi-Contractions on Graphs by R. H. Haghi, Sh. Rezapour, N. Shahzad

“…Recently, fixed point theory on graphs has been considered by many authors. …”
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Controllability and Observability Analysis of Nonlinear Positive Discrete Systems by Mouhcine Naim, Fouad Lahmidi, Abdelwahed Namir

“…We solve these problems by a technique based on the fixed point theory.…”
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