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We prove the existence of common fixed points for three relatively asymptotically regular mappings defined on an orbitally complete ordered metric space using orbital continuity of one of the involved maps. We furnish a suitable example to demonstrate the validity of the hypotheses of our results.

- Asymptotic behavior of a class of inhomogeneous scalar field cosmologies. Ibanez, J.; Olasagasti, I. // Journal of Mathematical Physics;Dec96, Vol. 37 Issue 12, p6283
Examines the asymptotic behavior of a class of inhomogeneous scalar field cosmologies. Metric and compactfield phase space; Equilibrium points and invariant sets; Energy density and pressure of the scalar field.

- ON A GENERAL CLASS OF WEAKLY PICARD OPERATORS. ALTUN, I.; HANÇER, H. A.; MINAK, G. // Miskolc Mathematical Notes;Sep2015, Vol. 16 Issue 1, p25
In this paper we show that on complete metric spaces the class of weakly Picard operators contains some operators which are more general than the class of almost contractions.

- Research on fixed point theorem for integral type orbitally contractive mappings. ZHANG Xinyu; ZHANG Shuyi; NIE Hui // Journal of Light Industry;may2019, Vol. 34 Issue 3, p103
The existence of fixed point for integral type orbitally contractive mappings in complete metric spaces and 2-metric spaces was studied, the fixed point theorem for integral type orbitally contractive mappings was proved under certain conditions, which extended some known results in the related...

- Approximation of (Ïˆ, Î²)-differentiable functions by Poisson integrals in the uniform metric. Zhyhallo, T. V.; Kharkevych, Yu. I. // Ukrainian Mathematical Journal;Nov2009, Vol. 61 Issue 11, p1757
We obtain asymptotic equalities for upper bounds of approximations of functions from the class C by Poisson integrals in the metric of the space C.

- The Asymptotic Behavior of the Takhtajan-Zograf Metric. Obitsu, Kunio; Wing-Keung To; Lin Weng // Communications in Mathematical Physics;Nov2008, Vol. 284 Issue 1, p227
We obtain the asymptotic behavior of the Takhtajan-Zograf metric on the TeichmÃ¼ller space of punctured Riemann surfaces.

- Linear approximation methods and the best approximations of the Poisson integrals of functions from the classes $ {H_{{\omega_p}}} $ in the metrics of the spaces L. Serdyuk, A.; Sokolenko, I. // Ukrainian Mathematical Journal;Dec2010, Vol. 62 Issue 7, p1139
We obtain upper estimates for the least upper bounds of approximations of the classes of Poisson integrals of functions from $ {H_{{\omega_p}}} $ for 1 â‰¤ p < âˆž by a certain linear method U in the metric of the space L. It is shown that the obtained estimates are asymptotically exact...

- Kolmogorov Entropy for Classes of Convex Functions. Dryanov, D. // Constructive Approximation;Aug2009, Vol. 30 Issue 1, p137
Kolmogorov e-entropy of a compact set in a metric space measures its metric massivity and thus replaces its dimension which is usually infinite. The notion quantifies the compactness property of sets in metric spaces, and it is widely applied in pure and applied mathematics. The e-entropy of a...

- Approximation of functions from the class $ C_{\beta, \infty }^\psi $ by Poisson integrals in the uniform metric. Zhyhallo, T. V.; Kharkevych, Yu. I. // Ukrainian Mathematical Journal;Dec2009, Vol. 61 Issue 12, p1893
We obtain asymptotic equalities for upper bounds of deviations of the Poisson integrals on the class of continuous functions $ C_{\beta, \infty }^\psi $ in the metric of the space C.

- SUPERPOSITION OPERATORS BETWEEN VARIOUS ALMOST PERIODIC FUNCTION SPACES AND APPLICATIONS. Blot, Jo�l; Cieutat, Philippe; N'gu�r�kata, Gaston M.; Pennequin, Denis // Communications in Mathematical Analysis (19389787);2009, Vol. 6 Issue 1, p42
We study the superposition operators (also called Nemytskii operators) between spaces of almost periodic functions with values in a complete metric space or in a Banach space. We establish new results on their continuity and their differentiability by using several different methods. We give...