Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational Inequalities, and Nonsmooth Optimization covers all three topics, including new variational inequality problems defined by a bifunction.
The first part of the book focuses on generalized convexity and generalized monotonicity. The authors investigate convexity and generalized convexity for both the differentiable and nondifferentiable case. For the nondifferentiable case, they introduce the concepts in terms of a...
Until now, no book addressed convexity, monotonicity, and variational inequalities together. Generalized Convexity, Nonsmooth Variational I...
Taking hold of a range of topics in vector optimization, from baseline issues to today's leading-edge research, this volume's fourteen chapters have been contributed by recognized experts in their respective sub-fields of multi-criteria optimization.
Taking hold of a range of topics in vector optimization, from baseline issues to today's leading-edge research, this volume's fourteen chapters have b...
Saleh Almezel Qamrul Hasan Ansari Mohamed Amine Khamsi
The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book presents information for those wishing to find results that might apply to their own work and for those wishing to obtain a deeper understanding of the theory. The book should be of interest to a wide range of researchers in mathematical analysis as well as to those whose primary interest is the study of fixed point theory and the underlying spaces. The level of exposition is directed to a wide audience, including students and established...
The purpose of this contributed volume is to provide a primary resource for anyone interested in fixed point theory with a metric flavor. The book pre...
Saleh Abdullah R. Al-Mezel Falleh Rajallah M. Al-Solamy Qamrul Hasan Ansari
Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis fixed point theory, variational inequalities, and vector optimization but also explains the connections between them, enabling the study of a general form of variational inequality problems related to the optimality conditions involving differentiable or directionally differentiable functions. This essential reference supplies both an introduction to the field and a guideline to the literature, progressing from basic concepts to the latest developments....
Fixed Point Theory, Variational Analysis, and Optimization not only covers three vital branches of nonlinear analysis fixed point ...
Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. Due to the complexity of the problems, it is not always easy to find the exact solution. However, approximate solutions can be found. The theory of the best approximation is applicable in a variety of problems arising in nonlinear functional analysis and optimization. This book highlights interesting aspects of nonlinear analysis and optimization together with many applications in the areas of physical and social sciences including engineering....
Many of our daily-life problems can be written in the form of an optimization problem. Therefore, solution methods are needed to solve such problems. ...
