000			nam a22 4500
999			_c32612 _d32612
008			231128b xxu||||| |||| 00| 0 eng d
020			_a9783030196691
082			_a515.7248 _bPAT
100			_aPata, Vittorino
245			_aFixed point theorems and applications
260			_bSpringer, _c2019 _aCham :
300			_axvii, 171 p. ; _bill., _c23 cm
365			_b49.99 _cEUR _d91.70
490			_aUnitext ; _vv. 116
504			_aIncludes bibliographical references and index.
520			_aThis book addresses fixed point theory, a fascinating and far-reaching field with applications in several areas of mathematics. The content is divided into two main parts. The first, which is more theoretical, develops the main abstract theorems on the existence and uniqueness of fixed points of maps. In turn, the second part focuses on applications, covering a large variety of significant results ranging from ordinary differential equations in Banach spaces, to partial differential equations, operator theory, functional analysis, measure theory, and game theory. A final section containing 50 problems, many of which include helpful hints, rounds out the coverage. Intended for Master's and PhD students in Mathematics or, more generally, mathematically oriented subjects, the book is designed to be largely self-contained, although some mathematical background is needed: readers should be familiar with measure theory, Banach and Hilbert spaces, locally convex topological vector spaces and, in general, with linear functional analysis.
650			_aFixed point theory
650			_aBrouwer and fixed point theorem
650			_aMarkov Kakutani theorem
650			_aFunctional analysis
650			_aPartial differentia equation
650			_aOrdinary differential equations
650			_aOperator theory
650			_aPartial differential equations
942			_2ddc _cBK