1st Edition

nonlinear analysis and applications

By S.P. Singh Copyright 1982

    This book contains lecture notes in pure and applied mathematics from the proceedings of an International Conference on Nonlinear Analysis and Applications, held at Memorial University of Newfoundland in June 1981. It includes information on fractional calculus and the Stieltjes transform.

    Main Addresses 1. Recent Development of the theory of Contractors and Contractor Directions and its Applications 2. Generalization of the Hausdorff Moment Problem 3. On Rotational Patches of Vorticity 4. On Lipschitzian Proximity Maps 5. On Ultimately Nonexpansive Semigroups 6. Nonlinear Analysis in Different Kinds of Frechet Spaces 7. A Review of Some Recent Results Concerning Factorization of Matrix and Operator Valued Functions 8. Smooth Bump Functions and Renormings of Banach Spaces: A Survey 9. Certain Extreme Value Problems in Statistics Fixed Point Theorems and Related Results 10. Some Geometric Propert ies Related to Normal Structure 11. Common Fixed Points of Mappings and Set Valued-Mappings 12. Fixed Point Principles for Cones of a Banach Space 13. Fixed Point Theorems for Nonexpansive Mappings in Convex Metric Spaces 14. An Antipodal Coincidence Theorem for Families of Compact Perturbations 15. Remarks on Set-Valued Mappings in Banach Spaces 16. Fixed Points and Close-to-Normal Structure in Locally Convex Spaces 17. Some Fixed Point Theorems for Generalized Nonexpansive Mappings 18. Fixed Point Sets of Homotopies 19. A Theorem on the Minimization of a Condensing Multifaction and Fixed Points 20. Remarks on the Example of Alspach 21. Sequence of Iterates for Nonexpansive Type Mappings in Banach Spaces 22. A Note on a Theorem of Ky Fan 23. On Asymptotically Quasi Nonexpansive Families of Mappings 24. Some Remarks and Examples Concerning the Fixed Point Property of Polyhedra 25. A Dual View of a Theorem of BailIon 26. Schauder's Fixed Point Theorem and the Invariant Subspace Problem Applications 27. On Fractional Calculus and Its Applications to the Theory of Ordinary Differential Equations of Generalized Order 28. Iterated Stieltjes Transform of Generalized Functions 29. Degree Theoretic Methods in Optimal Control 30. Oscillation Theorems for nth Order Delay Differential Equations 31. Numerical Treatment of a Nonlinear Problem Arising in Heat Transfer 32. Iterations Deterministes Et Stochastiques Sur Les Intervalles 33. The Method of Upper and Lower Solutions for Differential Equations in a Banach Space 34. Applications of Fixed Point Theorems to Problems in Optimization and Best Approximation Approximation Theory and Related Results 35. Existence and Continuity of the Chebyshev Operator 36. Approximation of Integrable Functions by Borel Means 37. Some Results in Lp Approximation of Functions by Their Fourier Series 38. Extension of a Theorem of J. L. Walsh on Differences of terpolating Polynomials 39. Best Simultaneous Chebyshev Approximation with Additive Weight Functions and Related Results I


    S.P. Singh, J.H. Burry