On nonlinear contractions
WebAbstract. In this paper a pair of self-mappings S and T on a complete metric space is considered. We define a nonlinear contraction-type condition (1) below and prove that if … Web1 de fev. de 2010 · However, the problem to prove the probabilistic versions of the very important generalization of the Banach Contraction Principle, obtained in 1969 by Boyd and Wong [D.W. Boyd, J.S.W. Wong, On nonlinear contractions, Proc. Am. Math. Soc. 20 (1969) 458–464], who proved the fixed point theorem for a self-mapping of a metric …
On nonlinear contractions
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Web2 de abr. de 2024 · In this paper, we extend a class of Suzuki-generalized nonlinear contractions due to Pant (Appl. Gen. Topol. 19 (1) (2024), 163-172) to a class of Suzuki … Web11 de jan. de 2024 · The aim is to present a new relational variant of fixed point result that generalizes various fixed point results of the existing theme for contractive type mappings. As an application, we solve a periodic boundary value problem and validate all assertions with the help of nontrivial examples. We also highlight the close connections of the fixed …
Web15 de out. de 2011 · Rus (Approx. Convexity 3:171–178, 2005) introduced the concept of cyclic contraction mapping. Păcurar and Rus (Nonlinear Anal. 72:1181–1187, 2010) proved some fixed point results for cyclic $${\\phi }$$ -contraction mappings on a metric space. Karapinar (Appl. Math. Lett. 24:822–825, 2011) obtained a unique fixed point of cyclic …
WebON NONLINEAR CONTRACTIONS D. W. BOYD1 AND J. S. W. WONG2 Introduction. A well-known theorem of Banach states that if X is a complete metric space and if T is a … WebLet ( X, d ) be a Hausdorff semimetric ( d need not satisfy the triangle inequality) and d –Cauchy complete space. Let ƒ be a selfmap on X , for which d (ƒ x , ƒ y ) ≤ φ ( d ( x, y )), ( x, y ∈ X ), where φ is a non– decreasing function from R + , the nonnegative reals, into R + such that φ n ( t ) → 0, for all t ∈ R + . We prove that ƒ has a unique fixed point if there ...
Web23 de ago. de 2012 · Celebrated Banach’s contraction mapping principle is one of the cornerstones in the development of nonlinear analysis. Fixed point theorems have applications not only in the various branches of mathematics but also in economics, chemistry, biology, computer science, engineering, and others.
Web10 de abr. de 2024 · Abstract. In this paper, we establish a new fixed point result for Hardy-Rogers type contractions in double controlled metric-like spaces. Our result generalizes many important theorems in the literature. We will provide an … greenlight fund cincinnatiWeb1 de out. de 2016 · Solving the Banach fixed point principle for nonlinear contractions in probabilistic metric spaces. Nonlinear Anal., 72 (2010), pp. 2009-2024. View PDF View article View in Scopus Google Scholar [3] Gh. Constantin, I. Istrăţescu. Elements of Probabilistic Analysis with Applications. greenlight fund charlotte ncWebOn nonlinear a-contractions By G. O. iK6-LLE~ Introduction. Darbo's generalization [5] of Sehauder's fixed point theorem states that every :c-contraction has a fixed point. Here a … flying circle ucp toiletry bagWebOn nonlinear contractions. Proceedings of the American Mathematical Society 20 (1969) 458-464. has been cited by the following article: Article. Generalized (ψ,φ)-weak … flying circlesWeb11 de fev. de 2024 · Appl. 2015:52, 2015) proved for Lakshmikantham–Ćirić-type nonlinear contractions involving (f,g) -closed transitive sets after proving some coincidence theorems satisfying Boyd–Wong-type nonlinear contractivity conditions employing the idea of (f,g) -closed locally f -transitive binary relation. 1 Introduction greenlight gas companyWebOn nonlinear contractions. where \p is some function defined on the closure of the range of p. In [3], Rakotch proved that if \p (t) =ct (t)t, where a is decreasing and a (t) <1 for i>0, … flying circle songWeb18 de mar. de 2024 · Request PDF On Mar 18, 2024, Sayed Hodjatollah Momeni-Masuleh published On Mixed Steps-Collocation Schemes for Nonlinear Fractional Delay Differential Equations Find, read and cite all the ... greenlight fund chicago