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Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications
Ben Amar, Afif; O'Regan, Donal
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Description for Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications
Hardback. Num Pages: 204 pages, biography. BIC Classification: PBKJ; PBP. Category: (G) General (US: Trade). Dimension: 235 x 155 x 13. Weight in Grams: 473.
This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue problems for decomposable single-valued nonlinear weakly compact operators in Dunford–Pettis spaces are considered, in addition to some variants of Schauder, Krasnoselskii, Sadovskii, and Leray–Schauder type fixed point theorems for different classes of weakly sequentially continuous operators on general Banach spaces. The authors then proceed with an examination of ... Read more
This is a monograph covering topological fixed point theory for several classes of single and multivalued maps. The authors begin by presenting basic notions in locally convex topological vector spaces. Special attention is then devoted to weak compactness, in particular to the theorems of Eberlein–Šmulian, Grothendick and Dunford–Pettis. Leray–Schauder alternatives and eigenvalue problems for decomposable single-valued nonlinear weakly compact operators in Dunford–Pettis spaces are considered, in addition to some variants of Schauder, Krasnoselskii, Sadovskii, and Leray–Schauder type fixed point theorems for different classes of weakly sequentially continuous operators on general Banach spaces. The authors then proceed with an examination of ... Read more
Product Details
Format
Hardback
Publication date
2016
Publisher
Springer International Publishing AG Switzerland
Number of pages
204
Condition
New
Number of Pages
194
Place of Publication
Cham, Switzerland
ISBN
9783319319476
SKU
V9783319319476
Shipping Time
Usually ships in 15 to 20 working days
Ref
99-15
About Ben Amar, Afif; O'Regan, Donal
Donal O'Regan is Professor in the School of Mathematics, Statistics, and Applied Mathematics at the National University of Ireland, Galway. His research interests include differential equations, nonlinear analysis, and fixed point theory. He is the author of several books, including An Introduction to Ordinary Differential Equations (with Ravi Agarwal), and Oscillation and Stability of Delay Models in Biology (with Ravi ... Read more
Reviews for Topological Fixed Point Theory for Singlevalued and Multivalued Mappings and Applications
“This monograph, written by experts in the field and reflecting their particular interests, deals with some developments of fixed point theory for several classes of singlevalued and multivalued maps. … Both graduate students and mathematicians working in fixed point theory, integral equations, ordinary and partial differential equations, game theory, and other related areas will find this book useful and highly ... Read more