Fixed point theorems for generalized multivalued nonlinear F-contractions

被引：15

作者：

Iqbal, Iram ^{[1
]}

Hussain, Nawab ^{[2
]}

机构：

[1] Univ Sargodha, Dept Math, Sargodha, Pakistan

[2] King Abdulaziz Univ, Dept Math, POB 80203, Jeddah 21589, Saudi Arabia

来源：

JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS | 2016年 / 9卷 / 11期

关键词：

alpha-eta-GF-contraction; alpha-eta-F-contraction of Hardy-Rogers type; nonlinear F-contraction; MAPPINGS;

D O I：

10.22436/jnsa.009.11.15

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we introduce certain new concepts of alpha-eta-lower semi-continuous and alpha-eta-upper semi continuous mappings. By using these concepts, we prove some fixed point results for generalized multivalued nonlinear F-contractions in metric spaces and ordered metric spaces. As an application of our results we deduce Suzuki-Wardowski type fixed point results and fixed point results for orbitally lower semi-continuous mappings in complete metric spaces. Our results generalize and extend many recent fixed point theorems including the main results of Minak et al. [G. Minak, M. Olgun, I. Altun, Carpathian J. Math., 31 (2015), 241-248], Altun et al. [I. Altun, G. Minak, M. Olgun, Nonlinear Anal. Model. Control, 21 (2016), 201-210] and Olgun et al. [M. Olgun, G. Minak, I. Altun, J. Nonlinear Convex Anal., 17 (2016), 579-587]. (C) 2016 All rights reserved.

引用

收藏

页码：5870 / 5893

页数：24

相关论文

共 50 条

[31] Fixed Point Results for F-contractions on Space with Two Metrics [J].

Olgun, Murat ;

Alyildiz, Tugce ;

Bicer, Ozge ;

Altun, Ishak .

FILOMAT, 2017, 31 (17) :5421-5426

[32] Fixed Point Results for Generalized F-Contractions in Modular b-Metric Spaces with Applications [J].

Parvaneh, Vahid ;

Hussain, Nawab ;

Khorshidi, Maryam ;

Mlaiki, Nabil ;

Aydi, Hassen .

MATHEMATICS, 2019, 7 (10)

[33] Common α-Fuzzy Fixed Point Results for F-Contractions with Applications [J].

Ahmad, Jamshaid ;

Marino, Giuseppe ;

Al-Mezel, Saleh Abdullah .

MATHEMATICS, 2021, 9 (03) :1-14

[34] Some new types multivalued F-contractions on quasi metric spaces and their fixed points [J].

Hancer, Hatice Aslan ;

Olgun, Murat ;

Altun, Ishak .

CARPATHIAN JOURNAL OF MATHEMATICS, 2019, 35 (01) :41-50

[35] Common fixed point theorems for generalized orthogonal contractions [J].

Ozturk, Vildan .

FILOMAT, 2024, 38 (05) :1859-1867

[36] FIXED POINT THEOREMS FOR GENERALIZED CONTRACTIONS WITH APPLICATIONS TO COUPLED FIXED POINT THEORY [J].

Petrusel, Adrian ;

Petrusel, Gabriela ;

Xiao, Yi-Bin ;

Yao, Jen-Chih .

JOURNAL OF NONLINEAR AND CONVEX ANALYSIS, 2018, 19 (01) :71-88

[37] Fixed point theorems for generalized contractive type multivalued maps [J].

Bin Dehaish, Buthinah A. ;

Latif, Abdul .

FIXED POINT THEORY AND APPLICATIONS, 2012,

[38] Multivalued Almost F-contractions on Complete Metric Spaces [J].

Altun, Ishak ;

Durmaz, Gonca ;

Minak, Gulhan ;

Romaguera, Salvador .

FILOMAT, 2016, 30 (02) :441-448

[39] Fixed-Point Theorems for Multivalued Generalized Nonlinear Contractive Maps in Partial Metric Spaces [J].

Aghajani, A. ;

Allahyari, R. .

UKRAINIAN MATHEMATICAL JOURNAL, 2014, 66 (01) :1-15

[40] Fixed Point Theorems for Nonlinear Contractions in Menger Spaces [J].

Ume, Jeong Sheok .

ABSTRACT AND APPLIED ANALYSIS, 2011,

← 1 2 3 4 5 →