Kannan-type contractions and fixed points in uniform spaces

被引：10

作者：

Wlodarczyk, Kazimierz ^{[1
]}

Plebaniak, Robert ^{[1
]}

机构：

[1] Univ Lodz, Fac Math & Comp Sci, Dept Nonlinear Anal, PL-90238 Lodz, Poland

来源：

FIXED POINT THEORY AND APPLICATIONS | 2011年

关键词：

uniform space; metric space; J-family of generalized pseudodistances; contractions of Kannan type; fixed point; iterative approximation; EXISTENCE; THEOREMS;

D O I：

10.1186/1687-1812-2011-90

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In uniform spaces, using J-families of generalized pseudodistances, we construct four kinds of contractions of Kannan type and, by techniques based on these generalized pseudodistances, we prove fixed point theorems for such contractions. The results are new in uniform and locally convex spaces and even in metric spaces. Examples are given.

引用

页码：1 / 24

页数：24

共 50 条

[21] Fixed points of Kannan mappings in metric spaces endowed with a graph
Bojor, Florin
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2012, 20 (01): : 31 - 40
[22] Fixed points of Kannan contractive mappings in relational metric spaces
Prasad, Gopi
JOURNAL OF ANALYSIS, 2021, 29 (03) : 669 - 684
[23] Fixed points and strict fixed points for multivalued contractions of Reich type on metric spaces endowed with a graph
Chifu, Cristian
Petrusel, Gabriela
Bota, Monica-Felicia
FIXED POINT THEORY AND APPLICATIONS, 2013,
[24] Fixed points for G-contractions on uniform spaces endowed with a graph
Aghanians, Aris
Fallahi, Kamal
Nourouzi, Kourosh
FIXED POINT THEORY AND APPLICATIONS, 2012,
[25] Fixed point theorems for ζ-contractions in uniform spaces
Ozturk, Vildan
TBILISI MATHEMATICAL JOURNAL, 2021, 14 (02) : 145 - 151
[26] Fixed points of Kannan maps in modular metric spaces
Abdou, Afrah A. N.
AIMS MATHEMATICS, 2020, 5 (06): : 6395 - 6403
[27] FIXED POINTS FOR E-ASYMPTOTIC CONTRACTIONS AND BOYD-WONG TYPE E-CONTRACTIONS IN UNIFORM SPACES
Aghanians, A.
Fallahi, K.
Nouriuzi, K.
BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY, 2013, 39 (06): : 1261 - 1272
[28] Fixed Point Results of Interpolative Kannan-Type Contraction in Generalized Metric Space
Jiddah J.A.
Shagari M.S.
Imam A.T.
International Journal of Applied and Computational Mathematics, 2023, 9 (6)
[29] KANNAN AND KANNAN-PRESIC TYPE CONTRACTIONS IN TRIPLED CONTROLLED V-METRIC SPACES
Karami, Abdollah
Sedghi, Shaban
Parvaneh, Vahid
JOURNAL OF MATHEMATICAL ANALYSIS, 2022, 13 (03): : 1 - 13
[30] Best proximity points for cyclic Kannan-Chatterjea-Ciric type contractions on metric-like spaces
Aydi, Hassen
Felhi, Abdelbasset
JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS, 2016, 9 (05): : 2458 - 2466

← 1 2 3 4 5 →