The aim of this volume is to make available to a large audience material in nonlinear functional analysis. Here, several topics of current and growing interest are systematically presented, such as fixed point theory, best approximation, the KKM-map principle, and results related to optimization theory, variational inequalities and complementarity problems. Illustrations of suitable applications are given, the links between results in various fields of research are highlighted, and an up-to-date bibliography is included to assist readers in further studies.
1 Introductory Concepts and Fixed Point Theorems.- 2 Ky Fan’s Best Approximation Theorem.- 3 Principle and Applications of KKM-maps.- 4 Partitions of Unity and Applications.- 5 Application of Fixed Points to Approximation Theory.
Pramod Kumar, S.P. Singh, Sumit Sharma, India) Kumar, Pramod (Assoc. Professor, Dr. BR Ambedkar National Institute of Technology (NIT) Jalandhar, Punjab, India) Singh, S.P. (Kurukshetra University, Kurukshetra, Haryana, India) Sharma, Sumit (Assistant Professor, Dr. BR Ambedkar National Institute of Technology (NIT) Jalandhar, Punjab, S. P. Singh
Pramod Kumar, S.P. Singh, Sumit Sharma, India) Kumar, Pramod (Assoc. Professor, Dr. BR Ambedkar National Institute of Technology (NIT) Jalandhar, Punjab, India) Singh, S.P. (Kurukshetra University, Kurukshetra, Haryana, India) Sharma, Sumit (Assistant Professor, Dr. BR Ambedkar National Institute of Technology (NIT) Jalandhar, Punjab, S. P. Singh