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

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