On modified α-Φ-asymmetric Meir-Keeler contractive mappings-Reference-Cited by-同舟云学术

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On modified α-Φ-asymmetric Meir-Keeler contractive mappings

Published:2014 Issue:9 Volume:28 Page:1855-1869
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Salimi P.¹,Hussain N.²,Roldan A.³,Karapınar E.⁴

Affiliation:

1. Islamic Azad University, Young Researchers and Elite Club, Rasht Branch, Rasht, Iran

2. Islamic Azad University, Department of Mathematic, Jeddah, Saudi Arabia

3. University of JaÉen, Campus las Lagunillas, JaÉen, Spain

4. Atilim University, Department of Mathematics, Incek, Ankara, Turkey

Abstract

Samet et al. [Nonlinear Anal. 75:2154-2165, 2012] introduced and studied ?-?-contractive mappings. More recently Salimi, et al. [Fixed Point Theory Appl., 2013:151] modified the notion of ?-?-contractive mappings and improved the fixed point theorems in [20, 32]. Here we utilize these notions to establish fixed point results for modified ?-?-asymmetric Meir-Keeler contractions and triangular ?-admissible mappings defined on G-metric and cone G-metric spaces. Several interesting consequences of our theorems are also provided here to illustrate the usability of the obtained results.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 2 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. C*-Algebra Valued Modular G-Metric Spaces with Applications in Fixed Point Theory;Symmetry;2021-10-22

2. New Approaches to Fixed Point Results on G-Metric Spaces;Fixed Point Theory in Metric Type Spaces;2015

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