000 02115cam a22002538i 4500
001 23194201
005 20250603151545.0
008 230621s2023 enk b 001 0 eng
020 _a9781009351454
040 _aCSL
_cCSL
041 _2eng
_aeng
084 _aB316 R3 NBHM
_qCSL
100 1 _aAnsari, Qamrul Hasan,
_eauthor.
_9464380
245 1 0 _aFixed point theory and variational principles in metric spaces
264 1 _aCambridge;
_bCambridge University Press,
_c2023.
300 _axiv, 219 p.
_c25 cm.
504 _aIncludes bibliographical references and index.
520 _a"The fixed-point theory in metric spaces came into the existence through the PhD work of Polish mathematician Stefan Banach in 1920. The outcome of the Banach contraction principle became the initial source of the theory. It evolved with time and is now important not only for nonlinear analysis but also for many other branches of mathematics. It has also been applied to sciences and engineering. Many extensions and generalizations of the Banach contraction principle are explored by mathematicians. The proposed book covers some of the main extensions and generalizations of the principle. It focuses on the basic techniques and results of topics like set-valued analysis, variational principles, and equilibrium problems. This book will be useful for researchers working in nonlinear analysis and optimization and can be a reference book for graduate and undergraduate students. There are some excellent books available on metric fixed point theory, but the above-mentioned topics are not covered in any single resource. The book includes a brief introduction to set-valued analysis with a focus on continuity and the fixed-point theory of set-valued maps and the last part of the book focuses on the application of fixed point theory"
_cProvided by publisher.
650 0 _aMetric spaces.
650 0 _aFixed point theory.
_9811609
650 0 _aVariational principles.
700 1 _aSahu, D. R.
_eco-author.
_9442197
942 _2CC
_n0
_cTEXL
_hB316 R3 NBHM
999 _c1431382
_d1431382