On multivalued Suzuki-type θ-contractions and related applications-Reference-Cited by-同舟云学术

On multivalued Suzuki-type θ-contractions and related applications

Published:2020-01-01 Issue:1 Volume:18 Page:386-399
ISSN:2391-5455
Container-title:Open Mathematics
language:en
Short-container-title:

Author:

Ali Amjad¹,Işık Hüseyin²,Aydi Hassen³,Ameer Eskandar⁴,Lee Jung Rye⁵,Arshad Muhammad¹

Affiliation:

1. Department of Mathematics and Statistics, International Islamic University , Islamabad , Pakistan

2. Department of Mathematics , Muş Alparslan University , 49250 Muş , Turkey

3. Université de Sousse, Institut Supérieur d’Informatique et des Techniques de Communication , H. Sousse 4000 , Tunisia ; China Medical University Hospital , China Medical University , Taichung 40402 , Taiwan

4. Department of Mathematics , Taiz University , Taiz , Yemen

5. Department of Mathematics , Daejin University , Gyeonggi 11159 , Korea

Abstract

Abstract In this study, we develop the concept of multivalued Suzuki-type θ-contractions via a gauge function and established two new related fixed point theorems on metric spaces. We also discuss an example to validate our results.

Publisher

Walter de Gruyter GmbH

Subject

General Mathematics

Link

https://www.degruyter.com/document/doi/10.1515/math-2020-0139/pdf

Reference24 articles.

1. Sam B. Nadler, Multi-valued contraction mappings, Pacific J. Math. 30 (1969), 475–488.

2. Hojat Afshari and Hassen Aydi, On the extended multivalued Suzuki type contractions via a topological property, Fixed Point Theory 20 (2019), no. 2, 407–416.

3. Nayab Alamgir, Quanita Kiran, Hüseyin Işık, and Hassen Aydi, Fixed point results via a Hausdorff controlled type metric, Adv. Differ. Equ. 2020 (2020), 24, 110.1186/s13662-020-2491-8.

4. Aiman Mukheimer, Jelena Vujakovic, Aftab Hussain, Hassen Aydi, Stojan Radenoviv, and Saman Yaqoob, A new approach to multivalued nonlinear weakly Picard operators, J. Ineq. Appl. 2019 (2019), 288, 10.1186/s13660-019-2244-y.

5. Pradip Patle, Deepesh Patel, Hassen Aydi, and Stojan Radenović, On H+-type multivalued contractions and applications in symmetric and probabilistic spaces, Mathematics 7 (2019), 144, 10.3390/math7020144.

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