Some Noncontractive Maps on Incomplete Metric Spaces Have Also Fixed Points by Tawseef Rashid, Qamrul Haq Khan, Nabil Mlaiki, Hassen Aydi

“…In this article, we discuss a new version of metric fixed point theory. The application of this newly introduced concept is to find some fixed point results where many well-known results in literature cannot be applied. …”
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Coupled Coincidence Point Theorems for New Types of Mixed Monotone Multivalued Mappings in Partially Ordered Metric Spaces by Chalongchai Klanarong, Suthep Suantai

“…Our main result includes several recent developments in fixed point theory of mixed monotone multivalued mappings.…”
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Mean-Square Exponential Stability Analysis of Stochastic Neural Networks with Time-Varying Delays via Fixed Point Method by Tianxiang Yao, Xianghong Lai

“…By utilizing the new research technique of the fixed point theory, we find some new and concise sufficient conditions ensuring the existence and uniqueness as well as mean-square global exponential stability of the solution. …”
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Some Common Fixed-Point Theorems for Generalized-Contractive-Type Mappings on Complex-Valued Metric Spaces by Chakkrid Klin-eam, Cholatis Suanoom

“…Fixed-point theory in complex valued metric spaces has greatly developed in recent times. …”
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A Fast Approach to Bimatrix Games with Intuitionistic Fuzzy Payoffs by Min Fan, Ping Zou, Shao-Rong Li, Chin-Chia Wu

“…Thirdly, Nash equilibrium of the algorithm was proved by the fixed point theory and the algorithm was simplified by linear programming methods. …”
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Existence Theory and Novel Iterative Method for Dynamical System of Infectious Diseases by Gauhar Ali, Ghazala Nazir, Kamal Shah, Yongjin Li

“…For the respective theory, we utilize fixed point theory to construct sufficient conditions for existence and uniqueness of the solution. …”
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FIXED POINTS OF FUZZY MULTIVALUED 𝐹 -CONTRACTIVE MAPPINGS WITH A DIRECTED GRAPH IN PARAMETRIC METRIC SPACES by M. Rafique, T. Nazir, H. Kalita

“…We hope that the acclaimed results in our work will encourage new analysis aspects in fixed-point theory and parallel hybrid models in the literature of fuzzy mathematics supplemented with a graph.…”
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Analysis for a Delayed Three-Species Predator-Prey Model with Feedback Controls and Prey Diffusion by Lili Jia

“…Furthermore, the corresponding periodic system is discussed, and some conditions are established about the existence, uniqueness, and stability of the positive periodic solution for the periodic system by using the fixed-point theory and theoretical analysis. In additional, some numerical solutions of the equations describing the system are given to verify the obtained criteria. …”
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On Best Proximity Points under the -Property on Partially Ordered Metric Spaces by Mohamed Jleli, Erdal Karapinar, Bessem Samet

“…Very recently, Abkar and Gabeleh (2013) observed that some best proximity point results under the -property can be obtained from the same results in fixed-point theory. In this paper, motivated by this mentioned work, we show that the most best proximity point results on a metric space endowed with a partial order (under the -property) can be deduced from existing fixed-point theorems in the literature. …”
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Cn-Almost Periodic Functions and an Application to a Lasota-Wazewska Model on Time Scales by Li Yang, Yongkun Li, Wanqin Wu

“…By means of the fixed point theory and differential inequality techniques on time scales, we obtain some sufficient conditions ensuring the existence and global exponential stability of C1-almost periodic solutions for the considered model. …”
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A Note on Best Proximity Point Theorems under Weak P-Property by Angel Almeida, Erdal Karapınar, Kishin Sadarangani

“…In the very recent paper of Akbar and Gabeleh (2013), by using the notion of P-property, it was proved that some late results about the existence and uniqueness of best proximity points can be obtained from the versions of associated existing results in the fixed point theory. Along the same line, in this paper, we prove that these results can be obtained under a weaker condition, namely, weak P-property.…”
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Stability of Impulsive Neural Networks with Time-Varying and Distributed Delays by Qi Luo, Xinjie Miao, Qian Wei, Zhengxin Zhou

“…We use the new method of fixed point theory to obtain some new and concise sufficient conditions to ensure the existence and uniqueness of solution and the global exponential stability of trivial equilibrium. …”
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The Best Approximation Theorems and Fixed Point Theorems for Discontinuous Increasing Mappings in Banach Spaces by Dezhou Kong, Lishan Liu, Yonghong Wu

“…The main tools of analysis are the variational characterizations of the generalized projection operator and order-theoretic fixed point theory. Moreover, we get some properties of the generalized projection operator in Banach spaces. …”
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Weak solutions of unconditionally stable second-order difference schemes for nonlinear sine-Gordon systems by Ozgur Yildirim

“…A very efficient numerical method that combines the finite difference method and the fixed point theory is used to perform numerical experiments to verify theoretical statements.…”
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Related Fixed Point Theorems via General Approach of Simulations Functions by Kastriot Zoto, Nabil Mlaiki, Hassen Aydi

“…By considering existing classes of Ζ−contractions and Ψ−simulating functions with a solid impact in database results of fixed point theory, we introduce a new general class of simulating functions, called as Ψ−s simulation functions, and also types of κψ−s− contractions in a more general framework. …”
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Generic Stability of the Weakly Pareto-Nash Equilibrium with Strategy Transformational Barriers by Luping Liu, Wensheng Jia, Li Zhou

“…First, we investigate the existence of the WPNE with strategy transformational barriers for the GMLMFMOG by using the Kakutani-Fan-Glicksberg fixed point theory. Next, we study the generic stability of the GMLMFMOG with strategy transformational barriers in Hausdorff space. …”
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On a Nonlocal Multipoint and Integral Boundary Value Problem of Nonlinear Fractional Integrodifferential Equations by Lahcen Ibnelazyz, Karim Guida, Said Melliani, Khalid Hilal

“…First of all, we give some preliminaries and notations that are necessary for the understanding of the manuscript; second of all, we show the existence and uniqueness of the solution by means of the fixed point theory, namely, Banach’s contraction principle and Krasnoselskii’s fixed point theorem. …”
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Best Proximity Point Results in G-Metric Spaces by N. Hussain, A. Latif, P. Salimi

“…G-metric spaces proved to be a rich source for fixed point theory; however, the best proximity point problem has not been considered in such spaces. …”
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Functional Coupled Systems with Generalized Impulsive Conditions and Application to a SIRS-Type Model by Feliz Minhós, Rui Carapinha

“…Our method is based on lower and upper solution technique together with the fixed point theory. The main theorem is applied to a SIRS model where to the best of our knowledge, for the first time, it includes impulsive effects combined with global, local, and the asymptotic behavior of the unknown functions.…”
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Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations by Ravi P. Agarwal, Bashir Ahmad, Ahmed Alsaedi, Hana Al-Hutami

“…Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. …”
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