Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications
Joint Authors
Abbas, Mujahid
Iqbal, Hira
de La Sen, Manuel
Source
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-03-26
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We present the notion of set valued (α,η)-(θ,ϝ) rational contraction mappings and then some common fixed point results of such mappings in the setting of metric spaces are established.
Some examples are presented to support the concepts introduced and the results proved in this paper.
These results unify, extend, and refine various results in the literature.
Some fixed point results for both single and multivalued (θ,ϝ) rational contractions are also obtained in the framework of a space endowed with partial order.
As application, we establish the existence of solutions of nonlinear elastic beam equations and first-order periodic problem.
American Psychological Association (APA)
Abbas, Mujahid& Iqbal, Hira& de La Sen, Manuel. 2019. Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications. Journal of Mathematics،Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1181423
Modern Language Association (MLA)
Abbas, Mujahid…[et al.]. Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications. Journal of Mathematics No. 2019 (2019), pp.1-15.
https://search.emarefa.net/detail/BIM-1181423
American Medical Association (AMA)
Abbas, Mujahid& Iqbal, Hira& de La Sen, Manuel. Common Fixed Points of (α,η) − (θ,ϝ) Rational Contractions with Applications. Journal of Mathematics. 2019. Vol. 2019, no. 2019, pp.1-15.
https://search.emarefa.net/detail/BIM-1181423
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1181423