Nonlinear Analysis and Variational Problems

1. Front Matter

   Pages i-xxvi

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2. Nonlinear Analysis

   1. Front Matter

      Pages 1-1

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3. Part I Nonlinear Analysis

   1. Discrete Approximation Processes of King’s Type

      • Octavian Agratini, Tudor Andrica

      Pages 3-12

   2. Isometrics in Non-Archimedean Strictly Convex and Strictly 2-Convex 2-Normed Spaces

      • Maryam Amyari, Ghadir Sadeghi

      Pages 13-22

   3. Fixed Points and Generalized Stability for ψ-Additive Mappings of Isac-Rassias Type

      • Liviu Cădariu, Viorel Radu

      Pages 23-36

   4. A Remark on W*-Tensor Products of W*-Algebras

      • Corneliu Constantinescu

      Pages 37-52

   5. The Perturbed Median Principle for Integral Inequalities with Applications

      • S. S. Dragomir

      Pages 53-63

   6. Stability of a Mixed Type Additive, Quadratic, Cubic and Quartic Functional Equation

      • M. Eshaghi-Gordji, S. Kaboli-Gharetapeh, M.S. Moslehian, S. Zolfaghari

      Pages 65-80

   7. Ψ-Aditive Mappings and Hyers–Ulam Stability

      • P. Găvruţa, L. Găvruţa

      Pages 81-86

   8. The Stability and Asymptotic Behavior of Quadratic Mappings on Restricted Domains

      • Kil-Woung Jun, Hark-Mahn Kim

      Pages 87-97

   9. A Fixed Point Approach to the Stability of a Logarithmic Functional Equation

      • Soon-Mo Jung, Themistocles M. Rassias

      Pages 99-109

   10. Fixed Points and Stability of the Cauchy Functional Equation in Lie C ^*-Algebras

       • Choonkil Park, Jianlian Cui

       Pages 111-124

   11. Fixed Points and Stability of Functional Equations

       • Choonkil Park, Themistocles M. Rassias

       Pages 125-134

   12. Compression–Expansion Critical Point Theorems in Conical Shells

       • Radu Precup

       Pages 135-145

   13. Gronwall Lemma Approach to the Hyers–Ulam–Rassias Stability of an Integral Equation

       • Ioan A. Rus

       Pages 147-152

   14. Brezis-Browder Principles and Applications

       • Mihai Turinici

       Pages 153-197

4. Variational Problems

   1. Front Matter

      Pages 199-199

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5. Part II Variational Problems

   1. A Generalized Quasi-Equilibrium Problem

      • Mircea Balaj, Donal O’Regan

      Pages 201-211

   2. Double-Layer and Hybrid Dynamics of Equilibrium Problems: Applications to Markets of Environmental Products

      • M. Cojocaru, S. Hawkins, H. Thille, E. Thommes

      Pages 213-234

   3. A Panoramic View on Projected Dynamical Systems

      • Patrizia Daniele, Sofia Giuffré, Antonino Maugeri, Stephane Pia

      Pages 235-258

The papers published in this volume focus on some of the most recent devel- ments in complementarity theory, variational principles, stability theory of fu- tional equations, nonsmooth optimization, and various other important topics of nonlinear analysis and optimization. This volume was initially planned to celebrate Professor George Isac’s 70th birthday by bringing together research scientists from mathematical domains which have long bene ted from Isac’s active research passion. Unfortunately, George Isac passed away in February 2009 at the age of 69. George Isac received his Ph. D. in 1973 from the Institute of Mathematics of the Romanian Academy of Sciences. He made outstanding contributions in s- eral branches of pure and applied mathematics, including complementarity theory, variational inequalities, xed point theory, scalar and vector optimization, theory of cones, eigenvalue problems, convex analysis, variational principles and regulari- tion methods, as well as a number of other topics. In his long and outstanding career, he wrote more than 200 papers and 13 books. Professor Isac was an avid traveler who visited more than 70 universities around the globe and delivered approximately 180 research presentations. He also authored seven books on poetry. During his s- enti c career he collaborated with numerous mathematicians. His research papers contain very deep, original and beautiful results. Through his signi cant contri- tions, he earned a distinguished position and became an internationally renowned leading scholar in his research elds.

• Complementarity problems
• Derivative
• Eigenvalue
• Fixed Point Theory
• Optimal control
• Pareto optimization
• SOIA
• calculus
• logarithm

• Dept. Industrial & Systems, Engineering, University of Florida, Gainesville, USA

  Panos M. Pardalos

• Athens, Greece

  Themistocles M. Rassias

• School of Mathematical Sciences, Rochester Institute of Technology, Rochester, USA

  Akhtar A. Khan

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