LEADER 05086nam 22007455 450 001 9910254274103321 005 20250609110429.0 010 $a981-10-3722-1 024 7 $a10.1007/978-981-10-3722-1 035 $a(CKB)3710000001178402 035 $a(DE-He213)978-981-10-3722-1 035 $a(MiAaPQ)EBC4848051 035 $a(PPN)200511157 035 $a(MiAaPQ)EBC6242345 035 $a(EXLCZ)993710000001178402 100 $a20170425d2017 u| 0 101 0 $aeng 135 $aurnn|008mamaa 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aAdvances in Nonlinear Analysis via the Concept of Measure of Noncompactness /$fedited by Józef Bana?, Mohamed Jleli, Mohammad Mursaleen, Bessem Samet, Calogero Vetro 205 $a1st ed. 2017. 210 1$aSingapore :$cSpringer Singapore :$cImprint: Springer,$d2017. 215 $a1 online resource (XIII, 487 p.) 311 08$a981-10-3721-3 320 $aIncludes bibliographical references at the end of each chapters and index. 327 $aMeasures of Noncompactness in the Space of Continuous and Bounded Functions Defined on the Real Half-Axis -- Measures of Noncompactness and Their Applications -- On Some Results Using Measures of Noncompactness -- Space of Functions with Growths Tempered by a Modulus of Continuity -- Measure of Noncompactness in Functional Fractional Calculus -- Measures of Weak Noncompactness and Fixed Points -- The Class of F-Contraction Mappings with a Measure of Noncompactness -- On The Measure of Non-Compactness in Banach Spaces and Application to the Theory of Differential and Integral Equations -- Partial Hadamard?Stieltjes Fractional Integral Equations in Banach Spaces -- Boundary Value Problems for Fractional Differential Equations and Inclusions in Banach Spaces -- On the Aronszajn Property for Differential Equations of Fractional Order in Banach Spaces -- On the Qualitative Behaviors of Nonlinear Functional Differential Systems of Third Order -- On the Approximation of Solutions to a Fixed Point Problem with Inequality Constraints in a Banach Space Partially Ordered by a Cone -- A Short Survey on Dislocated Metric Spaces via Fixed Point Theory. 330 $aThis book offers a comprehensive treatment of the theory of measures of noncompactness. It discusses various applications of the theory of measures of noncompactness, in particular, by addressing the results and methods of fixed-point theory. The concept of a measure of noncompactness is very useful for the mathematical community working in nonlinear analysis. Both these theories are especially useful in investigations connected with differential equations, integral equations, functional integral equations and optimization theory. Thus, one of the book?s central goals is to collect and present sufficient conditions for the solvability of such equations. The results are established in miscellaneous function spaces, and particular attention is paid to fractional calculus. 606 $aFunctional analysis 606 $aMathematical models 606 $aIntegral equations 606 $aDifferential equations 606 $aDynamics 606 $aErgodic theory 606 $aOperator theory 606 $aFunctional Analysis$3https://scigraph.springernature.com/ontologies/product-market-codes/M12066 606 $aMathematical Modeling and Industrial Mathematics$3https://scigraph.springernature.com/ontologies/product-market-codes/M14068 606 $aIntegral Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12090 606 $aOrdinary Differential Equations$3https://scigraph.springernature.com/ontologies/product-market-codes/M12147 606 $aDynamical Systems and Ergodic Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M1204X 606 $aOperator Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/M12139 615 0$aFunctional analysis. 615 0$aMathematical models. 615 0$aIntegral equations. 615 0$aDifferential equations. 615 0$aDynamics. 615 0$aErgodic theory. 615 0$aOperator theory. 615 14$aFunctional Analysis. 615 24$aMathematical Modeling and Industrial Mathematics. 615 24$aIntegral Equations. 615 24$aOrdinary Differential Equations. 615 24$aDynamical Systems and Ergodic Theory. 615 24$aOperator Theory. 676 $a515.7 702 $aBana?$b Józef$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aJleli$b Mohamed$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aMursaleen$b Mohammad$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aSamet$b Bessem$4edt$4http://id.loc.gov/vocabulary/relators/edt 702 $aVetro$b Calogero$4edt$4http://id.loc.gov/vocabulary/relators/edt 906 $aBOOK 912 $a9910254274103321 996 $aAdvances in nonlinear analysis via the concept of measure of noncompactness$91560477 997 $aUNINA