01154nam a2200301 i 450099100091770970753620020507103210.0951206s1960 us ||| | eng b10147950-39ule_instLE00639106ExLDip.to Fisicaita53.1.6253.1.68536.7QC175.G5Gibbs, J. Willard461842Elementary principles in statistical mechanics :developed with especial reference to the rational foundation of thermodynamics /J. Willard GibbsNew York :Dover Publications, Inc.,1960207 p. ;21 cm.Dover books on intermediate and advanced mathematicsIncludes bibliographical references.Statistical mechanics.b1014795017-02-1727-06-02991000917709707536LE006 53.1.62 GIB12006000043137le006-E0.00-l- 00000.i1017622627-06-02Elementary principles in statistical mechanics186596UNISALENTOle00601-01-95ma -engus 0104638nam 2201105z- 450 991055740400332120220111(CKB)5400000000043636(oapen)https://directory.doabooks.org/handle/20.500.12854/76918(oapen)doab76918(EXLCZ)99540000000004363620202201d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierTheory and Application of Fixed PointBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 online resource (220 p.)3-0365-2071-6 3-0365-2072-4 In the past few decades, several interesting problems have been solved using fixed point theory. In addition to classical ordinary differential equations and integral equation, researchers also focus on fractional differential equations (FDE) and fractional integral equations (FIE). Indeed, FDE and FIE lead to a better understanding of several physical phenomena, which is why such differential equations have been highly appreciated and explored. We also note the importance of distinct abstract spaces, such as quasi-metric, b-metric, symmetric, partial metric, and dislocated metric. Sometimes, one of these spaces is more suitable for a particular application. Fixed point theory techniques in partial metric spaces have been used to solve classical problems of the semantic and domain theory of computer science. This book contains some very recent theoretical results related to some new types of contraction mappings defined in various types of spaces. There are also studies related to applications of the theoretical findings to mathematical models of specific problems, and their approximate computations. In this sense, this book will contribute to the area and provide directions for further developments in fixed point theory and its applications.Mathematics & sciencebicsscResearch & information: generalbicsscalmost ℛg-Geraghty type contractionb-metric spaceb-metric-like spacesb2-metric spacebinary relationbinary relationsbv(s)-metric spaceCauchy sequencecommon coupled fixed pointcommon fixed pointcommon fixed pointscompatible mapsconvex metric spacesconvex minimization problemcoupled fixed pointscyclic mapsdemicontractive mappingsdirected graphend-pointequilibriumerror estimateF-contractionfixed pointfixed point problemsfixed pointsfixed-pointgeneralized mixed equilibrium problemgeodesic spaceHadamard spacesHilbert spaceinverse strongly monotone mappingsiterative schememetric spacemetric spacesmonotone mappingmultivalued mapsnull point problempre-metric spaceq-starshapedquasi-pseudometricregular spacesresolventS-type tricyclic contractionsplit feasibility problemstandard three-step iteration algorithmstart-pointstrong convergencesymmetric spacesT-contractionT-transitivitythe condition (ℰμ)triangle inequalityuniformly convex Banach spaceuniformly convex Busemann spacevariational inequalitiesweakly compatible mappingweakly contractiveweakly uniformly strict contractionMathematics & scienceResearch & information: generalKarapinar Erdaledt1319381Martínez-Moreno JuanedtErhan Inci MedtKarapinar ErdalothMartínez-Moreno JuanothErhan Inci MothBOOK9910557404003321Theory and Application of Fixed Point3033854UNINA