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Proceedings of the American Mathematical Society, 1956 Suppose that space is metric. A chain is a finite collection of open sets d1, d2, * * * , dn such that di intersects dj if and only if I i-jj I 1. If the elements of a chain are of diameter less than a positive number e, that chain is said to be an e-chain.
Eldon Dyer
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Fixed Point Theorems for Hybrid Mappings [PDF]
The Scientific World Journal, 2015 We obtain some fixed point theorems for two pairs of hybrid mappings using hybrid tangential property and quadratic type contractive condition. Our results generalize some results by Babu and Alemayehu and those contained therein.
Maria Samreen +2 more
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On some fixed point theorems [PDF]
International Journal of Mathematics and Mathematical Sciences, 1989 In this paper we prove a fixed point theorem for inward mappings uing a well-known result of Ky Fan type in Hilbert space setting.
D. Roux, S. P. Singh
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A fixed-point theorem for mappings
Journal of Mathematical Analysis and Applications, 1968 Alexander Abian
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Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1988 Let \(f\) be an orbitally continuous self-mapping of a complete metric space \((X,d)\). In this note, a fixed point theorem is proved for the mapping \(f\) satisfying contractive conditions which are combinations of various distances between distinct points \(x\), \(y\), \(fx\), and \(fy\) from \(X\).
M. R. Singh, A. K. Chatterjee
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Fixed point theorems in R-metric spaces with applications
, 2020 The purpose of this paper is to introduce the notion of R-metric spaces and give a real generalization of Banach fixed point theorem. Also, we give some conditions to construct the Brouwer fixed point. As an application, we find the existence of solution
S. Khalehoghli, H. Rahimi, M. Gordji
semanticscholar +1 more source
Communications, Faculty Of Science, University of Ankara Series A1Mathematics and Statistics, 1984 The authors' main result is the following: Let (X,d) be a complete metric space and \(f: X\to X\) a self-mapping. If for x,y\(\in X\) and \(p>0\) the inequality \[ d(T^{2p}x,T^{2p}y)\leq a_ 1d(T^ px,T^{2p}x)+a_ 2d(T^ py,T^{2p}y)+a_ 3d(T^ px,T^ py) \] with \(a_ 1,a_ 2,a_ 3\geq 0\) and \(a_ 1+a_ 2+a_ ...
M. D. Khan, M. S. Khan
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Remarks on Recent Fixed Point Theorems
Fixed Point Theory and Applications, 2010 Coincidence and fixed point theorems for a new class of contractive, nonexpansive and hybrid contractions are proved. Applications regarding the existence of common solutions of certain functional equations are also discussed.
Mishra SN, Singh SL
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Fixed Point Theorems for Almost
Mathematics, 2018 In this paper, we investigate the existence and uniqueness of a fixed point of almost contractions via simulation functions in metric spaces. Moreover, some examples and an application to integral equations are given to support availability of the ...
Huseyin Isik +3 more
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Applying new fixed point theorems on fractional and ordinary differential equations
Advances in Differential Equations, 2019 In this paper, we consider a fixed point theorem that extends and unifies several existing results in the literature. We apply the proven fixed point results on the existence of solution of ordinary boundary value problems and fractional boundary value ...
E. Karapınar, T. Abdeljawad, F. Jarad
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