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Existence Results for Integral Equations and Boundary Value Problems via Fixed Point Theorems for Generalized F-Contractions in b-Metric-Like Spaces
Joint Authors
Singh, Deepak
Joshi, Vishal
Petrusel, Adrian
Source
Issue
Vol. 2017, Issue 2017 (31 Dec. 2017), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2017-11-19
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
In this paper, we introduce some new classes of generalized F-contractions and we establish certain fixed point results for such mappings in the setting of b-metric-like spaces.
Some examples will illustrate the results and the corresponding computer simulations are suggestive from the output point of view.
A second purpose of the paper is to apply the abstract results in the study of the existence of a solution for an integral equation problem and for a boundary value problem related to a real life mathematical model, namely, the problem of conversion of solar energy to electrical energy.
Our study is concluded with an open problem, related to an integrodifferential equation arising in the study of electrical and electronics circuit analysis.
American Psychological Association (APA)
Joshi, Vishal& Singh, Deepak& Petrusel, Adrian. 2017. Existence Results for Integral Equations and Boundary Value Problems via Fixed Point Theorems for Generalized F-Contractions in b-Metric-Like Spaces. Journal of Function Spaces،Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1176313
Modern Language Association (MLA)
Joshi, Vishal…[et al.]. Existence Results for Integral Equations and Boundary Value Problems via Fixed Point Theorems for Generalized F-Contractions in b-Metric-Like Spaces. Journal of Function Spaces No. 2017 (2017), pp.1-14.
https://search.emarefa.net/detail/BIM-1176313
American Medical Association (AMA)
Joshi, Vishal& Singh, Deepak& Petrusel, Adrian. Existence Results for Integral Equations and Boundary Value Problems via Fixed Point Theorems for Generalized F-Contractions in b-Metric-Like Spaces. Journal of Function Spaces. 2017. Vol. 2017, no. 2017, pp.1-14.
https://search.emarefa.net/detail/BIM-1176313
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1176313