Faculty of Mathematics and Computer Science

[1]  J. Gil-Pelaez.  Note on the inversion theorem , 1951 .

[2]  Emmett B. Keeler,et al.  A theorem on contraction mappings , 1969 .

[3]  H. Stoll.  THE RELATIONSHIP BETWEEN PUT AND CALL OPTION PRICES , 1969 .

[4]  S. Nadler.  Multi-valued contraction mappings. , 1969 .

[5]  S. Nadler,et al.  Multi-valued contraction mappings in generalized metric spaces , 1970 .

[6]  Fixed points for contractive multifunctions , 1971 .

[7]  F. Black,et al.  The Pricing of Options and Corporate Liabilities , 1973, Journal of Political Economy.

[8]  J. Caristi,et al.  Fixed point theorems for mapping satisfying inwardness conditions , 1976 .

[9]  P. Gruber,et al.  Stability of isometries , 1978 .

[10]  H. Mönch,et al.  Boundary value problems for nonlinear ordinary differential equations of second order in Banach spaces , 1980 .

[11]  Ioannis Karatzas,et al.  Brownian Motion and Stochastic Calculus , 1987 .

[12]  D. Shanno,et al.  Option Pricing when the Variance Is Changing , 1987, Journal of Financial and Quantitative Analysis.

[13]  Alan G. White,et al.  The Pricing of Options on Assets with Stochastic Volatilities , 1987 .

[14]  Michael F. Barnsley,et al.  Fractals everywhere , 1988 .

[15]  Wataru Takahashi,et al.  Fixed point theorems for multivalued mappings on complete metric spaces , 1989 .

[16]  W. A. Kirk,et al.  Topics in Metric Fixed Point Theory , 1990 .

[17]  E. Stein,et al.  Stock Price Distributions with Stochastic Volatility: An Analytic Approach , 1991 .

[18]  S. Heston.  A Closed-Form Solution for Options with Stochastic Volatility with Applications to Bond and Currency Options , 1993 .

[19]  Kaushik I. Amin,et al.  Option Valuation with Systematic Stochastic Volatility , 1993 .

[20]  Gerald Beer,et al.  Topologies on Closed and Closed Convex Sets , 1993 .

[21]  David S. Bates.  Jumps and Stochastic Volatility: Exchange Rate Processes Implicit in Thephlx Deutschemark Options , 1993 .

[22]  I. Rus.  Weakly Picard mappings , 1993 .

[23]  P. Wilmott,et al.  Option pricing: Mathematical models and computation , 1994 .

[24]  Résultats du type de Leray-Schauder pour des contractions multivoques , 1994 .

[25]  J. Jachymski.  Continuous dependence of attractors of iterated function systems , 1996 .

[26]  V. Lakshmikantham,et al.  Nonlinear Integral Equations in Abstract Spaces , 1996 .

[27]  Shouchuan Hu,et al.  Handbook of multivalued analysis , 1997 .

[28]  G. L. Acedo,et al.  Measures of Noncompactness in Metric Fixed Point Theory , 1997 .

[29]  Z. Páles,et al.  Generalized stability of the Cauchy functional equation , 1998 .

[30]  P. Wilmott.  Derivatives: The Theory and Practice of Financial Engineering , 1998 .

[31]  George Isac,et al.  Stability of Functional Equations in Several Variables , 1998 .

[32]  Peter A. Forsyth,et al.  A finite element approach to the pricing of discrete lookbacks with stochastic volatility , 1999 .

[33]  George Xian-Zhi Yuan,et al.  KKM Theory and Applications in Nonlinear Analysis , 1999 .

[34]  S. Heston,et al.  A Closed-Form GARCH Option Valuation Model , 2000 .

[35]  高橋 渉.  Nonlinear functional analysis : fixed point theory and its applications , 2000 .

[36]  Metric fixed point theory for multivalued mappings , 2000 .

[37]  Donal O'Regan,et al.  Fixed Point Theorems for Set-Valued Maps and Existence Principles for Integral Inclusions , 2000 .

[38]  Izzy Nelken,et al.  Pricing, hedging, and trading exotic options : understand the intricacies of exotic options and how to use them to maximize advantage , 2000 .

[39]  W. A. Kirk,et al.  Handbook of metric fixed point theory , 2001 .

[40]  Generalized multivalued contractions , 2001 .

[41]  B. Rhoades,et al.  Some theorems on weakly contractive maps , 2001 .

[42]  Ralf Korn,et al.  Option Pricing and Portfolio Optimization: Modern Methods of Financial Mathematics , 2001 .

[43]  On the Banach Contraction Principle for Multivalued Mappings , 2001 .

[44]  Gunter Winkler,et al.  Valuation of Options in Heston's Stochastic Volatility Model Using Finite Element Methods 1 , 2001 .

[45]  S. Czerwik,et al.  Functional equations and inequalities in several variables , 2002 .

[46]  Vasile Glavan,et al.  On the dynamics of contracting relations , 2002, Analysis and Optimization of Differential Systems.

[47]  Heston's stochastic volatility model applied to foreign exchange options , 2002 .

[48]  Jong Sook Bae,et al.  Fixed point theorems for weakly contractive multivalued maps , 2003 .

[49]  Periodic points of multi-valued $\varepsilon$-contractive maps , 2003 .

[50]  A. RusIoan.  PICARD OPERATORS AND APPLICATIONS , 2003 .

[51]  PRICING DIGITAL CALL OPTION IN THE HESTON STOCHASTIC VOLATILITY MODEL , 2003 .

[52]  Soon-Mo Jung,et al.  HYERS-ULAM-RASSIAS STABILITY OF THE BANACH SPACE VALUED LINEAR DIFFERENTIAL EQUATIONS y′ = λy , 2004 .

[53]  T. Alderweireld,et al.  A Theory for the Term Structure of Interest Rates , 2004, cond-mat/0405293.

[54]  Jan Andres,et al.  Metric and Topological Multivalued Fractals , 2004, Int. J. Bifurc. Chaos.

[55]  Dorian Popa.  Hyers-Ulam-Rassias stability of a linear recurrence , 2005 .

[56]  A STABILITY RESULT IN FIXED POINT THEORY , 2005 .

[57]  Jürgen Topper.  Option pricing with finite elements , 2005 .

[58]  F. S. de Blasi.  Semifixed Sets of Maps in Hyperspaces with Application to Set Differential Equations , 2006 .

[59]  T. Miura,et al.  HYERS-ULAM STABILITY OF A CLOSED OPERATOR IN A HILBERT SPACE , 2006 .

[60]  Soon-Mo Jung,et al.  Hyers–Ulam stability of a system of first order linear differential equations with constant coefficients☆ , 2006 .

[61]  M. Frigon.  Fixed point and continuation results for contractions in metric and gauge spaces , 2007 .

[62]  Vasile Berinde,et al.  On a general class of multi-valued weakly Picard mappings , 2007 .

[63]  J. Jachymski,et al.  Nonlinear contractive conditions: A comparison and related problems , 2007 .

[64]  Soon-Mo Jung.  A Fixed Point Approach to the Stability of a Volterra Integral Equation , 2007 .

[65]  Mingyong Xu,et al.  HYERS-ULAM-RASSIAS STABILITY OF A SYSTEM OF FIRST ORDER LINEAR RECURRENCES , 2007 .

[66]  A. Petruşel,et al.  FIXED POINT THEORY FOR MULTIVALUED OPERATORS ON A SET WITH TWO METRICS , 2007 .

[67]  Dorian Popa,et al.  The Hyers–Ulam stability of nonlinear recurrences , 2007 .

[68]  Zead Mustafa,et al.  Some Fixed Point Theorem for Mapping on Complete G-Metric Spaces , 2008 .

[69]  FIXED POINTS AND HOMOTOPY RESULTS FOR ĆIRIĆ-TYPE MULTIVALUED OPERATORS ON A SET WITH TWO METRICS , 2008 .

[70]  Stationary Hyers-Ulam-Rassias stability for a class of nonlinear Volterra integral equations , 2009 .

[71]  Ioan A. Rus,et al.  REMARKS ON ULAM STABILITY OF THE OPERATORIAL EQUATIONS , 2009 .

[72]  A. Petruşel,et al.  Fixed points for non-self operators and domain invariance theorems , 2009 .

[73]  I. Rus.  Gronwall Lemma Approach to the Hyers–Ulam–Rassias Stability of an Integral Equation , 2010 .

[74]  J.-C. Yao,et al.  ULAM-HYERS STABILITY FOR OPERATORIAL EQUATIONS AND INCLUSIONS VIA NONSELF OPERATORS , 2011 .

[75]  The Put-Call Parity Theorem , 2011 .

[76]  V. Lazăr.  Fixed point theory for multivalued φ-contractions , 2011 .

[77]  Ulam-Hyers Stability for Operatorial Equations , 2011 .

[78]  Soon-Mo Jung.  Hyers-Ulam-Rassias Stability of Functional Equations in Nonlinear Analysis , 2011 .

[79]  Gronwall inequalities via Picard operators , 2012 .