Fixed point theorems for generalized multivalued nonlinear F-contractions

被引：14

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

页码：5870 / 5893

页数：24

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