04621nam 2201093z- 450 991055740400332120231214133711.0(CKB)5400000000043636(oapen)https://directory.doabooks.org/handle/20.500.12854/76918(EXLCZ)99540000000004363620202201d2021 |y 0engurmn|---annantxtrdacontentcrdamediacrrdacarrierTheory and Application of Fixed PointBasel, SwitzerlandMDPI - Multidisciplinary Digital Publishing Institute20211 electronic 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.Research & information: generalbicsscMathematics & sciencebicssccommon coupled fixed pointbv(s)-metric spaceT-contractionweakly compatible mappingquasi-pseudometricstart-pointend-pointfixed pointweakly contractivevariational inequalitiesinverse strongly monotone mappingsdemicontractive mappingsfixed point problemsHadamard spacesgeodesic spaceconvex minimization problemresolventcommon fixed pointiterative schemesplit feasibility problemnull point problemgeneralized mixed equilibrium problemmonotone mappingstrong convergenceHilbert spacethe condition (ℰμ)standard three-step iteration algorithmuniformly convex Busemann spacecompatible mapscommon fixed pointsconvex metric spacesq-starshapedfixed-pointmultivalued mapsF-contractiondirected graphmetric spacecoupled fixed pointscyclic mapsuniformly convex Banach spaceerror estimateequilibriumfixed pointssymmetric spacesbinary relationsT-transitivityregular spacesb-metric spaceb-metric-like spacesCauchy sequencepre-metric spacetriangle inequalityweakly uniformly strict contractionS-type tricyclic contractionmetric spacesb2-metric spacebinary relationalmost ℛg-Geraghty type contractionResearch & information: generalMathematics & scienceKarapinar Erdaledt1319381Martínez-Moreno JuanedtErhan Inci MedtKarapinar ErdalothMartínez-Moreno JuanothErhan Inci MothBOOK9910557404003321Theory and Application of Fixed Point3033854UNINA