MFV3D Book Archive > Theory > Download Handbook of Metric Fixed Point Theory by W. A. Kirk (auth.), William A. Kirk, Brailey Sims (eds.) PDF

Download Handbook of Metric Fixed Point Theory by W. A. Kirk (auth.), William A. Kirk, Brailey Sims (eds.) PDF

By W. A. Kirk (auth.), William A. Kirk, Brailey Sims (eds.)

Metric fastened aspect thought encompasses the department of mounted aspect thought which metric stipulations at the underlying area and/or at the mappings play a primary function. In a few feel the speculation is a far-reaching outgrowth of Banach's contraction mapping precept. A normal extension of the research of contractions is the restricting case while the Lipschitz consistent is permitted to equivalent one. Such mappings are referred to as nonexpansive. Nonexpansive mappings come up in numerous common methods, for instance within the research of holomorphic mappings and hyperconvex metric spaces.
simply because many of the areas studied in research proportion many algebraic and topological houses in addition to metric homes, there is not any transparent line isolating metric mounted aspect concept from the topological or set-theoretic department of the idea. additionally, as a result of its metric underpinnings, metric mounted aspect idea has supplied the inducement for the learn of many geometric houses of Banach areas. The contents of this instruction manual replicate all of those proof.
the aim of the instruction manual is to supply a main source for an individual drawn to mounted element thought with a metric taste. The aim is to supply info for these wishing to discover effects that may practice to their very own paintings and for these wishing to procure a deeper figuring out of the idea. The e-book might be of curiosity to quite a lot of researchers in mathematical research in addition to to these whose basic curiosity is the learn of mounted element concept and the underlying areas. the extent of exposition is directed to a large viewers, together with scholars and confirmed researchers.

Show description

Read or Download Handbook of Metric Fixed Point Theory PDF

Best theory books

Scattering Theory in Mathematical Physics: Proceedings of the NATO Advanced Study Institute held at Denver, Colo., U.S.A., June 11–29, 1973

Those lawsuits include lectures given on the N. A. T. O. complicated research Institute entitled "Scattering conception in arithmetic and Physics" held in Denver, Colorado, June 11-29, 1973. we have now assembled the most sequence of lectures and a few awarded by way of different individuals that appeared evidently to enrich them.

Theory and Applications for Advanced Text Mining

This publication consists of nine chapters introducing complicated textual content mining ideas. they're quite a few options from relation extraction to below or much less resourced language. i feel that this ebook will supply new wisdom within the textual content mining box and aid many readers open their new study fields.

Extra info for Handbook of Metric Fixed Point Theory

Sample text

Appl. 28(1969), 326-329. [79] K. Menger, Statistical metrics, Proc. Nat. Acad. Sci. 37(1951), 178-180. [80] K. Menger, Probabilistic geometry, Proc. Nat. Acad. Sci. 37(1951), 226-229. [81 J P. R. Meyers, A COnverse to Banach's contraction theorem, J. Research Nat. Bureau of Standards - B. Math. and Math. Physics, 71B(1967), 73-76. [82] P. R. Meyers, On contractifiable self-mappings, Nonlinear Analysis (Th. M. ), World Scientific Publ. , Singapore, 1987, pp. 407-432. [83] N. Mizoguchi, A generalization of Br¢ndsted's results and its applications, Proc.

Tarafdar and X. -Z. Yuan, Set-valued topological contractions, Appl. Math. Lett. 8(1995), 79-81. 34 [118] R. M. Tardiff, Contraction maps on probabilistic metric spaces, J. Math. Anal. Appl. 165(1992), 517-523. [119] M. Taskovic, A monotone principle of fixed points, Proc. Amer. Math. Soc. 94(1985), 427-432. [120] F. Tricomi, Una teorema sulla convergenza delle successioni formate delle successive iterate di una funzione di una variabile reale, Giorn. Mat. Bataglini 54(1916), 1-9. [121] M. Turinici, The monotone principle of fixed points: a correction, Proc.

Krasnoselskii, Some problems of nonlinear analysis (Russian), Uspehi Math. ) 9(1961); Amer. Math. Soc. Translations 10(1958), 345--409. [64J M. A. Krasnoselskii and V. J. Stetsenko, About the theory of equations with concave operators, Sib. Mat. Zh. 10(1969), 565-572 (Russian). [65J M. A. Krasnoselskii and G. M. , Approximate solutions of operator equations, Wolters Noordhoff, Groningen, 1972. [66J M. A. Krasnoselskii and P. P. Zabrieko, Geometrical Methods of Nonlinear Analysis, SpringerVerlag, Berlin, 1994.

Download PDF sample

Rated 4.55 of 5 – based on 34 votes