Tomás Domínguez Benavides

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Fixed point for mappings of asymptotically nonexpansive type in Lebesgue spaces of variable exponent spaces

Topol. Methods Nonlinear Anal.  Methods Nonlinear Anal. Vol. 63, no. 1, pp. 23-38.  DOI 10.12775/TMNA.2023.044)

T. Dominguez Benavides

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Fixed points for mappings of asymptotically nonexpansive type

Fixed Point Theory (Romania) 24 (2023), no. 2, 569-582. More information

T. Dominguez Benavides; P. Lorenzo Ramirez

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Compactness Properties of Multiplication  and Substitution Operators

J. Operator Theory 89 (2023), no. 1, 49-74. 

L. Angeloni,  J. Appell, T. Dominguez Benavides, S. Reinwald,  G. Vinti. More information

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Some fixed point results for commuting families of mappings in modular spaces

Numer. Funct. Anal. Optim. 42 (2021), no. 13, 1608-1625. More information

T. Dominguez Benavides; P. Lorenzo Ramirez. 

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Fixed point properties and reflexivity in variable Lebesgue spaces

 J. Funct. Anal. Volume 280, Issue 6, (2021). More information

T. Dominguez Benavides; M. A. Japón

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Fixed points for several classes of mappings in variable Lebesgue spaces

Optimization 70 (2021), no. 5-6, 911-927. More information

T. Dominguez Benavides; S. M. Moshtaghioun; A. Sadeghi Hafshejani

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Measures of noncompactness in modular spaces and fixed point theorems for multivalued nonexpansive mappings

J. Fixed Point Theory Appl. 23 (2021), no. 3, Paper No. 40, 25 pp. More information

T. Dominguez Benavides; P. Lorenzo Ramirez

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Multivalued iterated contractions.

Fixed Point Theory (Romania) 21 (2020) no. 1, 151-166. More information

T. Dominguez Benavides; P. Lorenzo Ramirez; M. Rahimi; A. Sadeghi  Hafshejani

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Fixed points for multivalued non-expansive mappings.

Appl. Set-Valued Anal. Optim. Vol.2, Issue 2, (2020), Pages 139-141. More information  

T. Dominguez Benavides; P. Lorenzo Ramirez

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Fixed point theorems for asymptotically regular mappings in modular and metric spaces

 J. Fixed Point Theory Appl. 22 (2020) no. 1, Art. 12. More information

T. Dominguez Benavides; M. A. Japón; A. Sadeghi Hafshejani

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Existence of fixed points in a class of convex sets.
Z. Anal. Anwend. 38 (2019), no. 3, 351–374. More information

A. Betiuk; T. Dominguez Benavides; M. Japón
 

The almost fixed point property for weak-star closed sets.
Israel J. Math.Volume 230 (2019), Issue 2, 509-526,  More information 

T. Dominguez Benavides; M. A. Japón; J. A. Villada Bedoya

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Iterated nonexpansive mappings.
J. Fixed Point Theory Appl. 20 (2018), no. 3, 20:104.  More information
T. Dominguez Benavides; E. Llorens-Fuster

Komlos' Theorem and the Fixed Point Property for affine mappings.
Proc. Amer. Math. Soc. 146 (2018), no. 12, 5311-5322. More information
T. Dominguez Benavides; M. A. Japón

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A fixed-point characterization of weak compactness in Banach spaces with unconditional Schauder basis
J. Math. Anal. Appl. 454 (2017), no. 1, 246-264. More information

T. Dominguez Benavides; M. A. Japón

Irregular convex sets with fixed-point property for asymptotically regular mappings in l1
J. Nonlinear Convex Anal. 18 (2017), no.2, 173-184.  More information

T. Dominguez Benavides

Simple problems on maximal and minimal convex sets, trivial or nontrivial solutions?
J. Nonlinear Convex Anal. 18 (2017), no.1, 113-122.  More information

T. Dominguez Benavides; P. L. Papini

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Fixed points for Suzuki type mappings by means of "ultra"-techniques.
J. Nonlinear Convex Anal. 18 (2017), no. 10, 1753-1770.  More information
A. Betiuk-Pilarska; T. Dominguez Benavides; P. Lorenzo

 

Fixed points for nonexpansive mappings and generalized nonexpansive mappings on Banach lattices
Pure Appl. Funct. Anal. 1 (2016), no. 3, 343-359.  More information

A. Betiuk-Pilarska; T. Dominguez Benavides
 

Compactness and the fixed point property in l1
J. Math. Anal. Appl. 444 (2016), no. 1, 69-79. More information

T. Dominguez Benavides; M. A. Japón

 

On the failure of the Fixed Point Property for some unbounded subsets of l1
J. Nonlinear Convex Anal. 17 (2016), no. 7, 1249-1257.  More information

T. Dominguez Benavides

Nonlinear Hammerstein Equations and Functions of Bounded Riesz-Medvedev Variation
 Topol. Methods Nonlinear Anal. Volume 47 (2016), no. 1, 319-332.  More information
J. Appell;  T. Dominguez Benavides

 

The Fixed Point Property for some generalized non-expansive mappings and renormings
J. Math. Anal. Appl. 429, No. 2, 800-813 (2015). More information
A. Betiuk-Pilarska, T. Dominguez Benavides

 

Generalized nonexpansive mappings on unbounded sets.

J. Nonlinear Convex Anal. 16 No.2 (2015) 289-297.  More information
T. Dominguez Benavides; B. Medina Perez.  

A further generalization of nonexpansivity

J. Nolinear Convex Analysis 15 No. 2 (2014), 299-311.  More information

T. Dominguez Benavides; P. Lorenzo

 

Some renormings with the stable fixed point property.

Fixed Point Theory 14 (2013), no. 1, 59–66. More information

T. Dominguez Benavides, S. Phothi.

 

Some questions in metric fixed point theory, by A. W. Kirk, revisited.

Arab. J. Math. (Springer) 1 (2012), no. 4, 431–438. More information

T. Dominguez Benavides

 

Some generalizations of Kannan's fixed point theorem in K metric spaces.

Fixed Point Theory 13 (2012), no. 1, 73–83. More information

T. Dominguez Benavides,  I. Gatica,  P. Lorenzo

 

Distortion and stability of the fixed point property for non-expansive mappings.

Nonlinear Anal. 75 (2012), no. 6, 3229–3234. More information

T. Dominguez Benavides.

 

The failure of the fixed point property for unbounded sets in c 0

Proc. Amer. Math. Soc. 140 (2012), no. 2, 645–650. More information

T. Dominguez Benavides

 

The fixed point property under renorming in some classes of Banach spaces,
Nonlinear Anal. , 72, 1409-1416, 2010. More information
T. Dominguez Benavides,  S. Phothi.

The Szlenk index and the fixed point property under renorming,
Fixed Point Theory Appl. 2010, Art. ID 268270, , 2010. More  information
T. Domínguez Benavides.

Does Kirk's theorem hold for multivalued nonexpansive mappings? ,
Fixed Point Theory Appl.  Art. ID 546761, , 2010. More information
T. Domínguez Benavides,  B. Gavira Aguilar.

A renorming for nonseparable Banach spaces with the fixed point property,
J. Math. Anal. Appl. , 350, 525-530, 2009. More information
T. Domínguez Benavides.

Fixed point properties and proximinality in Banach spaces,
Nonlinear Anal., 71, 1562-1571, 2009. More information
T. Dominguez Benavides,  J. García-Falset, E. Llorens-Fuster,  P. Lorenzo.

The fixed point property for multivalued non-expansive mappings,
J. Math. Anal. Appl., 328, 1471-1483, 2007. More  information
T.  Domínguez Benavides, B. Gavira Aguilar.

 

The Jordan-von Neumann Constant and fixed points for multivalued nonexpansive mappings,
J. Math. Anal. Appl. , 320, 916-927, 2006. More information
S. Dhompongsa, T. Domínguez Benavides, A. Kaewcharoen, A. Kaewkhao, B. Panyanak.

Fixed point theorems for multivalued nonexpansive mappings in modular function spaces,
Scientiae Mathematicae Japonicae , 63, 161-169, 2006. More information
S. Dhompongsa, T. Domínguez Benavides, A. Kaewcharoen, B. Panyanak.

Fixed points of nonexpansive mappings in spaces of continuous functions,
Proceedings of the American Mathematical Society, 133, 3037-3046, 2005. More information
T. Domínguez Benavides, M. A.  Japón Pineda.

Weak compactness and fixed point property for affine mappings,
Journal of Functional Analysis, 209, 1-15, 2004. More information
T. Domínguez Benavides, M. A. Japón Pineda, S. Prus.

Asymptotic centers and fixed points for multivalued nonexpansive mappings,
Annales Universitatis Mariae Curie-Sklodowska, 58, 37-45, 2004. More information
T. Domínguez Benavides, P. Lorenzo Ramírez.

A universal infinite-dimensional modulus for normed spaces and applications,
Nolinear Analysis, 58, 379-394, 2004. More information
T.  Domínguez Benavides, B. Gavira Aguilar.

 

Fixed point theorems for multivalued nonexpansive mappings satisfying inwardness conditions,
Journal of Mathematical Analysis and Applications, 291, 100-108, 2004. More information
T. Domínguez Benavides, P. Lorenzo Ramírez.

Iterative solutions for zeros of accretive operators,
Math. Nachr., 248, 62-71, 2003. More information
T. Domínguez Benavides, G. López Acedo, Hong Kun Xu.

Fixed point theorems for multivalued nonexpansive mappings without uniform convexity,
Abstract and Applied Analysis, 6, 375-386, 2003. More information
T. Domínguez Benavides, P. Lorenzo Ramírez.

Complete characterizations of Kadec-Klee properties in Orlicz spaces,
Houston Journal of Mathematics, 29, 1027-1044, 2003. More information
T. Domínguez Benavides, G. López Acedo, B. Sims, H. Hudzik, M. Mastylo .

Asymptotically nonexpansive mappings in modular function spaces,
Journal of Mathematical Analysis and Applications, 265, 249-263, 2002. More information
T. Domínguez Benavides, M. A. Khamsi, S, Semadi.

Uniformly Lipschitzian mappings in modular function spaces,
Nonlinear Analysis, 46, 267-278, 2001. More information
T. Domínguez Benavides, M. A. Khamsi, S. Samadi.

Structure of the fixed point set and common fixed pints of asymptotically nonexpansive mappings,
Proceedings of the American Mathematical Society, 129, 3549-3557, 2001. More information
T. Domínguez Benavides, J. Lorenzo Ramírez.

Asymptotically regular mappings on modular function spaces,
Scientiae Mathematicae Japonicae, 53, 295-304, 2001. More information
T. Domínguez Benavides, M.A. Khamsi, S. Samadi.

Fixed point theorems for asymptotically regular mappings in Orlicz function spaces,
Nonlinear Analysis, 44, 829-842, 2001. More information
T. Domínguez Benavides, M. A. Japón Pineda.

Opial modulus,moduli of noncompact convexity and fixed poins for asymptotically regular mappings.,
Nonlinear Anal., 41, 617-630, 2000. More information
T. Domínguez Benavides.

 

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