000 04493cam a2200529Mi 4500
001 9781003139607
003 FlBoTFG
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006 m o d
007 cr |||||||||||
008 201212s2021 flu go 000 0 eng d
040 _aOCoLC-P
_beng
_erda
_cOCoLC-P
020 _a9781000366396
_q(e-book)
020 _a1000366391
020 _a9781003139607
_q(electronic bk.)
020 _a1003139604
_q(electronic bk.)
020 _a9781000366419
_q(electronic bk. : EPUB)
020 _a1000366413
_q(electronic bk. : EPUB)
035 _a(OCoLC)1240712132
035 _a(OCoLC-P)1240712132
050 4 _aQA329.9
072 7 _aMAT
_x003000
_2bisacsh
072 7 _aMAT
_x037000
_2bisacsh
072 7 _aMAT
_x034000
_2bisacsh
072 7 _aPBW
_2bicssc
082 0 4 _a515.7248
_223
245 0 0 _aMetric Structures and Fixed Point Theory
_cedited by Dhananjay Gopal, Praveen Agarwal, Poom Kumam.
250 _a1st edition.
264 1 _aBoca Raton :
_bChapman & Hall/CRC,
_c2021.
300 _a1 online resource
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
520 _aIt is an indisputable argument that the formulation of metrics (by Frchet in the early 1900s) opened a new subject in mathematics called non-linear analysis after the appearance of Banach's fixed point theorem. Because the underlying space of this theorem is a metric space, the theory that developed following its publication is known as metric fixed point theory. It is well known that metric fixed point theory provides essential tools for solving problems arising in various branches of mathematics and other sciences such as split feasibility problems, variational inequality problems, non-linear optimization problems, equilibrium problems, selection and matching problems, and problems of proving the existence of solutions of integral and differential equations are closely related to fixed point theory. For this reason, many people over the past seventy years have tried to generalize the definition of metric space and corresponding fixed point theory. This trend still continues. A few questions lying at the heart of the theory remain open and there are many unanswered questions regarding the limits to which the theory may be extended. Metric Structures and Fixed Point Theory provides an extensive understanding and the latest updates on the subject. The book not only shows diversified aspects of popular generalizations of metric spaces such as symmetric, b-metric, w-distance, G-metric, modular metric, probabilistic metric, fuzzy metric, graphical metric and corresponding fixed point theory but also motivates work on existing open problems on the subject. Each of the nine chapters--contributed by various authors--contains an Introduction section which summarizes the material needed to read the chapter independently of the others and contains the necessary background, several examples, and comprehensive literature to comprehend the concepts presented therein. This is helpful for those who want to pursue their research career in metric fixed point theory and its related areas. Features Explores the latest research and developments in fixed point theory on the most popular generalizations of metric spaces Description of various generalizations of metric spaces Very new topics on fixed point theory in graphical and modular metric spaces Enriched with examples and open problems This book serves as a reference for scientific investigators who need to analyze a simple and direct presentation of the fundamentals of the theory of metric fixed points. It may also be used as a text book for postgraduate and research students who are trying to derive future research scope in this area.
588 _aOCLC-licensed vendor bibliographic record.
650 0 _aFixed point theory.
_919651
650 0 _aMetric spaces.
_912910
650 7 _aMATHEMATICS / Applied
_2bisacsh
_96859
650 7 _aMATHEMATICS / Functional Analysis
_2bisacsh
_912912
650 7 _aMATHEMATICS / Mathematical Analysis
_2bisacsh
_95470
700 1 _aGopal, Dhananjay,
_eeditor.
_919652
700 1 _aAgarwal, Praveen,
_eeditor.
_919653
700 1 _aKumam, Poom,
_eeditor.
_919654
856 4 0 _3Taylor & Francis
_uhttps://www.taylorfrancis.com/books/9781003139607
856 4 2 _3OCLC metadata license agreement
_uhttp://www.oclc.org/content/dam/oclc/forms/terms/vbrl-201703.pdf
942 _cEBK
999 _c72156
_d72156