Keyword

fixed point approximation

Description: A family of mathematical methods for approximating fixed points of mappings, often through iterative algorithms in metric or Banach spaces.

Primary topic: Optimization and Variational Analysis (65%)

OpenAlex ID: keywords/fixed-point-approximation

Approximating Fixed Points of Nonexpansive Mappings by the Ishikawa Iteration Process

1993 · K.K. Tan, H.K. Xu · Journal of Mathematical Analysis and Applications · 891

Iterative Approximation of Fixed Points

2007 · Vasile Berinde · Springer eBooks · 865

Inverse Problems for Partial Differential Equations

2006 · Crabtree, Dominika · Applied Mathematical Sciences · 700

The Approximation of Fixed Points of a Continuous Mapping

1967 · Herbert Scarf · SIAM Journal on Applied Mathematics · 608

Approximating Fixed Points of Nonexpansive Mappings

1974 · H. F. Senter, W. G. Dotson · Proceedings of the American Mathematical Society · 605

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Approximation of fixed points of nonexpansive mappings

1992 · Rainer Wittmann · Archiv der Mathematik · 600

Ishikawa and Mann Iterative Process with Errors for Nonlinear Strongly Accretive Mappings in Banach Spaces

1995 · L.S. Liu · Journal of Mathematical Analysis and Applications · 541

Geometric Properties of Banach Spaces and Nonlinear Iterations

2008 · Charles Chidume · Lecture notes in mathematics · 490

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Fractal image coding: a review

1993 · A.E. Jacquin · Proceedings of the IEEE · 479

The Approximation of Fixed Points of a Continuous Mapping

2011 · Herbert Scarf · Palgrave Macmillan UK eBooks · 463

Functional Differential Equations and Approximation of Fixed Points

1979 · Peitgen, Heinz-Otto, Walther, Hans-Otto · Lecture notes in mathematics · 442

Simplicial and Continuation Methods for Approximating Fixed Points and Solutions to Systems of Equations

1980 · Eugene Allgower, Kurt Georg · SIAM Review · 438

On △ -convergence theorems in CAT(0) spaces

2008 · S. Dhompongsa, B. Panyanak · Computers & Mathematics with Applications · 389

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Strong convergence of approximated sequences for nonexpansive mappings in Banach spaces

1997 · Naoki Shioji, Wataru Takahashi · Proceedings of the American Mathematical Society · 335

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Approximation de Points Fixes de Contractions

1977 · P. L. Lions · Medical Entomology and Zoology · 292

A review of the fractal image coding literature

1999 · B. Wohlberg, G. De Jager · IEEE Transactions on Image Processing · 291

Weak and strong convergence theorems for fixed points of asymptotically nonexpensive mappings

2000 · M.O. Osilike, S.C. Aniagbosor · Mathematical and Computer Modelling · 247

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Ill-Posed Problems with A Priori Information

1995 · V. V. Vasin, A. L. Ageev · De Gruyter eBooks · 223

Strong convergence theorems for infinite families of nonexpansive mappings in general Banach spaces

2005 · Tomonari Suzuki · Fixed Point Theory and Applications · 205

A generalization of the linear complementarity problem

1970 · Richard W. Cottle, George B. Dantzig · Journal of Combinatorial Theory · 203

A Picard-Mann hybrid iterative process

2013 · Safeer Hussain Khan · Fixed Point Theory and Applications · 196

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Weak and strong convergence theorems for three-step iterations with errors for asymptotically nonexpansive mappings

2004 · Yeol Je Cho, Haiyun Zhou, et al. · Computers & Mathematics with Applications · 194

Existence and Approximation of Fixed Points of Firmly Nonexpansive-Type Mappings in Banach Spaces

2008 · Fumiaki Kohsaka, Wataru Takahashi · SIAM Journal on Optimization · 189

A new iterative scheme for numerical reckoning fixed points of Suzuki’s generalized nonexpansive mappings

2015 · Balwant Singh Thakur, Dipti Thakur, et al. · Applied Mathematics and Computation · 166

Performance analyses of optical burst-switching networks

2003 · Z. Rosberg, Hai Le Vu, et al. · IEEE Journal on Selected Areas in Communications · 165

Works count: 2,720

Citation count: 26,950