GENERALIZED MEIR-KEELER TYPE CONTRACTIONS AND DISCONTINUITY AT FIXED POINT

被引：48

作者：

Bisht, Ravindra K. ^{[1
]}

Rakocevic, Vladimir ^{[2
]}

机构：

[1] Natl Def Acad Khadakwasla, Dept Math, Pune, Maharashtra, India

[2] Univ Nis, Fac Sci & Math, Visegradska 33, Nish 18000, Serbia

来源：

FIXED POINT THEORY | 2018年 / 19卷 / 01期

关键词：

Fixed point; (epsilon-delta) contractions; power contraction; orbital continuity; MAPPINGS; THEOREM; MAPS;

D O I：

10.24193/fpt-ro.2018.1.06

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we show that generalized Meir-Keeler type contractive definitions are strong enough to generate a fixed point but do not force the mapping to be continuous at the fixed point. Thus we provide more answers to the open question posed by B.E. Rhoades in the paper Contractive definitions and continuity, Contemporary Mathematics 72(1988), 233-245.

引用

页码：57 / 64

页数：8

共 31 条

[1]

[Anonymous], 1976, PUBL I MATH, V20

[2] A remark on discontinuity at fixed point [J].

Bisht, Ravindra K. ;

Pant, R. P. .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2017, 445 (02) :1239-1242

[3] ON NONLINEAR CONTRACTIONS [J].

BOYD, DW ;

WONG, JSW .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1969, 20 (02) :458-&

[4] A REMARK ON A FIXED-POINT THEOREM FOR ITERATED MAPPINGS [J].

BRYANT, VW .

AMERICAN MATHEMATICAL MONTHLY, 1968, 75 (04) :399-&

[5]

Chung K. J., 1978, MATH JPN, V23, P381

[6]

Ciric L., 1981, Publ. Inst. Math. (Beograd) (N.S.), V30, P25

[7] EQUIVALENT CONDITIONS AND THE MEIR-KEELER TYPE THEOREMS [J].

JACHYMSKI, J .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1995, 194 (01) :293-303

[8] ON GENERALIZATIONS OF THE MEIR-KEELER TYPE CONTRACTION MAPS - CORRECTIONS [J].

JUNGCK, G ;

MOON, KB ;

PARK, SH ;

RHOADES, BE .

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 1993, 180 (01) :221-222

[9] SOME RESULTS ON FIXED POINTS .2. [J].

KANNAN, R .

AMERICAN MATHEMATICAL MONTHLY, 1969, 76 (04) :405-&

[10]

Kuczma M., 1990, ENCY MATH ITS APPL, V32

← 1 2 3 4 →