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Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Integral equations
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Fixed Point Theory in Metric Spaces - Recent Advances and Applications (Hardcover, 1st ed. 2018)
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Fixed Point Theory in Metric Spaces - Recent Advances and Applications (Hardcover, 1st ed. 2018)
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This book provides a detailed study of recent results in metric
fixed point theory and presents several applications in nonlinear
analysis, including matrix equations, integral equations and
polynomial approximations. Each chapter is accompanied by basic
definitions, mathematical preliminaries and proof of the main
results. Divided into ten chapters, it discusses topics such as the
Banach contraction principle and its converse; Ran-Reurings fixed
point theorem with applications; the existence of fixed points for
the class of - contractive mappings with applications to quadratic
integral equations; recent results on fixed point theory for cyclic
mappings with applications to the study of functional equations;
the generalization of the Banach fixed point theorem on Branciari
metric spaces; the existence of fixed points for a certain class of
mappings satisfying an implicit contraction; fixed point results
for a class of mappings satisfying a certain contraction involving
extended simulation functions; the solvability of a coupled fixed
point problem under a finite number of equality constraints; the
concept of generalized metric spaces, for which the authors extend
some well-known fixed point results; and a new fixed point theorem
that helps in establishing a Kelisky-Rivlin type result for
q-Bernstein polynomials and modified q-Bernstein polynomials. The
book is a valuable resource for a wide audience, including graduate
students and researchers.
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