SOME FIXED POINT RESULTS FOR NONEXPANSIVE MAPPINGS IN BANACH SPACES

被引：7

作者：

Dehici, Abdelkader ^{[1
]}

Redjel, Najeh ^{[1
]}

机构：

[1] Univ Souk Ahras, Lab Informat & Math, Souk Ahras 41000, Algeria

来源：

JOURNAL OF NONLINEAR FUNCTIONAL ANALYSIS | 2020年 / 2020卷

关键词：

Nonexpansive mapping; Fixed point; Minimal weakly compact convex subset; Goebel-Karlovitz lemma; Suzuki mapping; INVARIANT-MEANS; SEMIGROUPS; CONVERGENCE; THEOREMS;

D O I：

10.23952/jnfa.2020.36

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we obtain some fixed point results for nonexpansive mappings defined on an intersection of a finite number of closed bounded and convex nonempty subsets in Banach spaces. Our results refine those established by Lin [Unconditional bases and fixed points of nonexpansive mappings, Pacific J. Math. 116 (1985), 69-76].

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页数：11

相关论文

共 22 条

[1] A FIXED-POINT FREE NON-EXPANSIVE MAP [J].

ALSPACH, DE .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1981, 82 (03) :423-424

[2]

[Anonymous], 1990, CAMBRIDGE STUDIES AD

[3] The fixed point property for some generalized nonexpansive mappings and renormings [J].

Betiuk-Pilarska, A. ;

Dominguez Benavides, T. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2015, 429 (02) :800-813

[4] ON THE SUZUKI NONEXPANSIVE-TYPE MAPPINGS [J].

Betiuk-Pilarska, Anna ;

Wisnicki, Andrzej .

ANNALS OF FUNCTIONAL ANALYSIS, 2013, 4 (02) :72-86

[5] NONEXPANSIVE NONLINEAR OPERATORS IN A BANACH SPACE [J].

BROWDER, FE .

PROCEEDINGS OF THE NATIONAL ACADEMY OF SCIENCES OF THE UNITED STATES OF AMERICA, 1965, 54 (04) :1041-&

[6] Some questions in metric fixed point theory, by A. W. Kirk, revisited [J].

T. Domínguez Benavides .

Arabian Journal of Mathematics, 2012, 1 (4) :431-438

[7] Fixed point theory for a class of generalized nonexpansive mappings [J].

Garcia-Falset, Jesus ;

Llorens-Fuster, Enrique ;

Suzuki, Tomonari .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 375 (01) :185-195

[8]

Goebel K., 1975, Ann. Univ. Mariae Curie-Sk lodowska Sect. A, V29, P73

[9] ZUM PRINZIP DER KONTRAKTIVEN ABBILDUNG [J].

GOHDE, D .

MATHEMATISCHE NACHRICHTEN, 1965, 30 (3-4) :251-&

[10] EXISTENCE OF FIXED-POINTS OF NONEXPANSIVE MAPPINGS IN A SPACE WITHOUT NORMAL STRUCTURE [J].

KARLOVITZ, LA .

PACIFIC JOURNAL OF MATHEMATICS, 1976, 66 (01) :153-159