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This book collects papers on major topics in fixed point theory and
its applications. Each chapter is accompanied by basic notions,
mathematical preliminaries and proofs of the main results. The book
discusses common fixed point theory, convergence theorems, split
variational inclusion problems and fixed point problems for
asymptotically nonexpansive semigroups; fixed point property and
almost fixed point property in digital spaces, nonexpansive
semigroups over CAT( ) spaces, measures of noncompactness, integral
equations, the study of fixed points that are zeros of a given
function, best proximity point theory, monotone mappings in modular
function spaces, fuzzy contractive mappings, ordered hyperbolic
metric spaces, generalized contractions in b-metric spaces,
multi-tupled fixed points, functional equations in dynamic
programming and Picard operators. This book addresses the
mathematical community working with methods and tools of nonlinear
analysis. It also serves as a reference, source for examples and
new approaches associated with fixed point theory and its
applications for a wide audience including graduate students and
researchers.
This book collects papers on major topics in fixed point theory and
its applications. Each chapter is accompanied by basic notions,
mathematical preliminaries and proofs of the main results. The book
discusses common fixed point theory, convergence theorems, split
variational inclusion problems and fixed point problems for
asymptotically nonexpansive semigroups; fixed point property and
almost fixed point property in digital spaces, nonexpansive
semigroups over CAT( ) spaces, measures of noncompactness, integral
equations, the study of fixed points that are zeros of a given
function, best proximity point theory, monotone mappings in modular
function spaces, fuzzy contractive mappings, ordered hyperbolic
metric spaces, generalized contractions in b-metric spaces,
multi-tupled fixed points, functional equations in dynamic
programming and Picard operators. This book addresses the
mathematical community working with methods and tools of nonlinear
analysis. It also serves as a reference, source for examples and
new approaches associated with fixed point theory and its
applications for a wide audience including graduate students and
researchers.
This book offers a comprehensive treatment of the theory of
measures of noncompactness. It discusses various applications of
the theory of measures of noncompactness, in particular, by
addressing the results and methods of fixed-point theory. The
concept of a measure of noncompactness is very useful for the
mathematical community working in nonlinear analysis. Both these
theories are especially useful in investigations connected with
differential equations, integral equations, functional integral
equations and optimization theory. Thus, one of the book's central
goals is to collect and present sufficient conditions for the
solvability of such equations. The results are established in
miscellaneous function spaces, and particular attention is paid to
fractional calculus.
This book offers a comprehensive treatment of the theory of
measures of noncompactness. It discusses various applications of
the theory of measures of noncompactness, in particular, by
addressing the results and methods of fixed-point theory. The
concept of a measure of noncompactness is very useful for the
mathematical community working in nonlinear analysis. Both these
theories are especially useful in investigations connected with
differential equations, integral equations, functional integral
equations and optimization theory. Thus, one of the book's central
goals is to collect and present sufficient conditions for the
solvability of such equations. The results are established in
miscellaneous function spaces, and particular attention is paid to
fractional calculus.
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