Abstract
In this paper, we prove a fixed point theorem for a rational type contraction mapping in the frame work of metric spaces. Also, we extend Brosowski–Meinardus type results on invariant approximation for such class of contraction mappings. The results proved extend some of the known results existing in the literature.
Funding statement: The author is thankful to Thapar Institute of Engineering & Technology for SEED grant.
Acknowledgements
The author is thankful to the learned referees for valuable suggestions.
References
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© 2019 Walter de Gruyter GmbH, Berlin/Boston
Artikel in diesem Heft
- Frontmatter
- On nonlinear neutral Liouville–Caputo-type fractional differential equations with Riemann–Liouville integral boundary conditions
- On the spectrum of an infinite-order differential operator and its relation to Hamiltonian mechanics
- Uniqueness of meromorphic functions of differential polynomials sharing a small function with finite weight
- Opial-type inequalities for conformable fractional integrals
- Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex
- Certain inequalities of meromorphic univalent functions associated with the Mittag-Leffler function
- Analytical and asymptotic evaluations of Dawson’s integral and related functions in mathematical physics
- Generalized multivariate Fink-type identity and some related results on time scales with applications
- Best approximation and fixed points for rational-type contraction mappings
- Traveling wave solutions and conservation laws of a generalized Kudryashov–Sinelshchikov equation
Artikel in diesem Heft
- Frontmatter
- On nonlinear neutral Liouville–Caputo-type fractional differential equations with Riemann–Liouville integral boundary conditions
- On the spectrum of an infinite-order differential operator and its relation to Hamiltonian mechanics
- Uniqueness of meromorphic functions of differential polynomials sharing a small function with finite weight
- Opial-type inequalities for conformable fractional integrals
- Fractional Ostrowski type inequalities for functions whose modulus of the first derivatives are prequasi-invex
- Certain inequalities of meromorphic univalent functions associated with the Mittag-Leffler function
- Analytical and asymptotic evaluations of Dawson’s integral and related functions in mathematical physics
- Generalized multivariate Fink-type identity and some related results on time scales with applications
- Best approximation and fixed points for rational-type contraction mappings
- Traveling wave solutions and conservation laws of a generalized Kudryashov–Sinelshchikov equation