Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis : Niigata, Japan, 28-31 July, 1998
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Bibliographic Information
Proceedings of the International Conference on Nonlinear Analysis and Convex Analysis : Niigata, Japan, 28-31 July, 1998
World Scientific, c1999
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Nonlinear analysis and convex analysis
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Description and Table of Contents
Description
During the last three decades of the 20th century, the study of nonlinear analysis has been pursued vigorously and such activity has had great influence on other areas of science, such as on mathematics. At the same time, convex analysis has grown in connection with the study of problems of optimization, equilibrium, control and stability of linear and nonlinear systems. These two mathematical disciplines have no borders and benefit each other. Now, there is a demand for new ideas and human technology based on reliable theoretical methodology. It is believed that international experts on nonlinear analysis and convex analysis can provide reasonable and optimal solutions to such problems if they co-operate with one another. This work constitutes the proceedings of a conference which sought to help the development of mathematical science and related areas all over the world.
Table of Contents
- Second derivatives in convex analysis, R.T. Rockafellar
- existence of equilibria for G-monotone mappings, W. Oettli and D. Schlager
- programming problems involving generalized convex set functions, H.-C. Lai
- a non-co-operative equilibrium of n-person game with fractional loss function, Y. Kimura et al
- time consistency of co-operative solutions in dynamic games, L.A. Petrosjan
- a survey on some recent results in nonlinear functional analysis, B. Ricceri
- fixed point properties for semigroups of non-expansive mappings, A.T.-M. Lau
- fixed point theorems, convergence theorems and their applications, W. Takahashi
- the homeomorphism problem of compact nonlinear mappings, S. Akashi
- a weak convergence theorem for non-expansive semigroups by the Mann iteration process in Banach spaces, S. Atsushiba and W. Takahashi
- the core and the dominance core in multichoice multistage games with coalitions in matrix form, D.A. Ayoshin and T. Tanaka
- on the random product of orthogonal projections in Hilbert space, J.-B. Baillon and R.E. Bruck
- inhomogeneous iterates and nonlinear weak ergodic theorems, Y.-Z. Chen. (Part contents)
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