A FIXED POINT THEOREM ON CONE METRIC SPACES WITH NEW TYPE CONTRACTIVITY

被引：5

作者：

Altun, Ishak ^{[1
]}

Abbas, Mujahid ^{[2
]}

Simsek, Hakan ^{[1
]}

机构：

[1] Kirikkale Univ, Fac Sci & Arts, Dept Math, TR-71450 Yahsihan, Kirikkale, Turkey

[2] Lahore Univ Management Sci, Dept Math, Lahore 54792, Pakistan

来源：

BANACH JOURNAL OF MATHEMATICAL ANALYSIS | 2011年 / 5卷 / 02期

关键词：

Fixed point; cone metric space; integral type contraction; WEAKLY COMPATIBLE MAPPINGS; MAPS;

D O I：

10.15352/bjma/1313362998

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present work, a common fixed point theorem for self maps on cone metric spaces is proved. Also two examples, which shows that our main theorem is generalized version of main theorems of [A. Branciari, Int. J. Math. Math. Sci., 29 (2002), no. 9, 531-536] and [L.G. Huang and X. Zhang, J. Math. Anal. Appl. 332 (2007), no. 2, 1468 1476], are given.

引用

页码：15 / 24

页数：10

共 50 条

[31] A THEOREM ON COMMON FIXED POINTS OF EXPANSION TYPE MAPPINGS IN CONE METRIC SPACES
Sahin, Ilker
Telci, Mustafa
ANALELE STIINTIFICE ALE UNIVERSITATII OVIDIUS CONSTANTA-SERIA MATEMATICA, 2010, 18 (01): : 329 - 336
[32] Fixed Point Theorem of Ciric Type in Weak Partial Metric Spaces
Popa, Valeriu
Patriciu, Alina-Mihaela
FILOMAT, 2017, 31 (11) : 3203 - 3207
[33] FIXED-POINT THEOREM IN METRIC SPACES
PITTNAUER, F
ARCHIV DER MATHEMATIK, 1975, 26 (04) : 421 - 426
[34] ON A FIXED-POINT THEOREM FOR METRIC SPACES
HU, TK
AMERICAN MATHEMATICAL MONTHLY, 1967, 74 (04): : 436 - &
[35] A FIXED POINT THEOREM IN GENERALIZED METRIC SPACES
Kikina, Luljeta
Kikina, Kristaq
DEMONSTRATIO MATHEMATICA, 2013, 46 (01) : 181 - 190
[36] Presic Type Fixed Point Theorem for Four Maps in Metric Spaces
Rao, K. P. R.
Sadik, Sk.
Manro, S.
JOURNAL OF MATHEMATICS, 2016, 2016
[37] A FIXED POINT THEOREM FOR CIRIC TYPE CONTRACTION ON INTERPOLATIVE METRIC SPACES
Bilazeroglu, Seyma
Yalcin, Ceylan
JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2024, 25 (07) : 1717 - 1723
[38] A UNIQUE COMMON TRIPLE FIXED POINT THEOREM IN PARTIALLY ORDERED CONE METRIC SPACES
RAO, K. P. R.
KISHORE, G. N. V.
BULLETIN OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2011, 3 (04): : 213 - 222
[39] Fixed point theorem for two non-self mappings in cone metric spaces
Radenovic, Stojan
Rhoades, B. E.
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2009, 57 (10) : 1701 - 1707
[40] SOME NOTES ON THE PAPER "BANACH FIXED POINT THEOREM ON ORTHOGONAL CONE METRIC SPACES"
Gungor, Nurcan Bilgili
FACTA UNIVERSITATIS-SERIES MATHEMATICS AND INFORMATICS, 2023, 38 (02): : 301 - 316

← 1 2 3 4 5 →