Hybrid Multivalued Type Contraction Mappings in αK-Complete Partial b-Metric Spaces and Applications

被引：72

作者：

Ameer, Eskandar ^{[1
,2
]}

Aydi, Hassen ^{[3
]}

Arshad, Muhammad ^{[2
]}

Alsamir, Habes ^{[4
]}

Noorani, Mohd Selmi ^{[4
]}

机构：

[1] Taiz Univ, Dept Math, Taizi, Yemen

[2] Int Islamic Univ, Dept Math, H-10, Islamabad 44000, Pakistan

[3] Imam Abdulrahman Bin Faisal Univ, Coll Educ Jubail, Dept Math, PO 12020, Ind Jubail 31961, Saudi Arabia

[4] Univ Kebangsaan Malaysia, Fac Sci & Technol, Sch Math Sci, Ukm 43600, Selangor Darul, Malaysia

来源：

SYMMETRY-BASEL | 2019年 / 11卷 / 01期

关键词：

fixed point; triangular alpha*(K)-orbital admissible mappings; partial b-metric space; multivalued contraction mapping; functional equation; nonlinear matrix equation; FIXED-POINT THEOREMS; IMPLICIT CONTRACTIONS;

D O I：

10.3390/sym11010086

中图分类号：

O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];

学科分类号：

07 ; 0710 ; 09 ;

摘要：

In this paper, we initiate the notion of generalized multivalued (alpha*(K), Upsilon, Lambda)-contractions and provide some new common fixed point results in the class of alpha(K)-complete partial b-metric spaces. The obtained results are an improvement of several comparable results in the existing literature. We set up an example to elucidate our main result. Moreover, we present applications dealing with the existence of a solution for systems either of functional equations or of nonlinear matrix equations.

引用

页数：24

共 45 条

[1] Fixed point results for generalized alpha - psi-Suzuki-contractions in quasi-b-metric-like spaces
Afshari, Hojjat
Kalantari, Sabileh
Aydi, Hassen
[J]. ASIAN-EUROPEAN JOURNAL OF MATHEMATICS, 2018, 11 (01)
[2] Alharbi N, 2018, J MATH ANAL, V9, P47
[3] (α, ψ, ξ)-contractive multivalued mappings
Ali, Muhammad Usman
Kamran, Tayyab
Karapinar, Erdal
[J]. FIXED POINT THEORY AND APPLICATIONS, 2014,
[4] Ameer E, 2017, J FIX POINT THEORY A, V19, P3069, DOI 10.1007/s11784-017-0477-2
[5] Generalized contractions with triangular α-orbital admissible mapping on Branciari metric spaces
Arshad, Muhammad
Ameer, Eskandar
Karapinar, Erdal
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2016,
[6] A Suzuki-type multivalued contraction on weak partial metric spaces and applications
Aydi, Hassen
Barakat, M. A.
Mitrovic, Zoran D.
Sesum-Cavic, Vesna
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2018,
[7] On Common Fixed Points in the Context of Brianciari Metric Spaces
Aydi, Hassen
Karapinar, Erdal
Zhang, Dong
[J]. RESULTS IN MATHEMATICS, 2017, 71 (1-2) : 73 - 92
[8] Aydi H, 2016, NONLINEAR ANAL-MODEL, V21, P40, DOI 10.15388/NA.2016.1.3
[9] Aydi H, 2015, RACSAM REV R ACAD A, V109, P367, DOI 10.1007/s13398-014-0187-1
[10] Fixed points for generalized (α, ψ)-contractions on generalized metric spaces
Aydi, Hassen
Karapinar, Erdal
Samet, Bessem
[J]. JOURNAL OF INEQUALITIES AND APPLICATIONS, 2014,

← 1 2 3 4 5 →