Fixed point theorems for $$(\psi , \beta )$$ ( ψ , β ) -Geraghty contraction type maps in ordered metric spaces and some applications to integral and ordinary differential equations-Reference-Cited by-同舟云学术

Fixed point theorems for $$(\psi , \beta )$$ ( ψ , β ) -Geraghty contraction type maps in ordered metric spaces and some applications to integral and ordinary differential equations

Published:2016-09-20 Issue:2 Volume:19 Page:1251-1267
ISSN:1661-7738
Container-title:Journal of Fixed Point Theory and Applications
language:en
Short-container-title:J. Fixed Point Theory Appl.

Author:

Gupta Vishal,Shatanawi Wasfi,Mani Naveen

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Geometry and Topology,Modeling and Simulation

Link

http://link.springer.com/article/10.1007/s11784-016-0303-2/fulltext.html

Reference23 articles.

1. Amini, A.H., Emami, H.: A fixed point theorem for contraction type maps in partially ordered metric spaces and application to ordinary differential equations. Nonlinear Anal. 72(5), 2238–2242 (2010)

2. Aydi, H., Karapinar, E., Postolache, M.: Tripled coincidence point theorems for weak $$\psi $$ ψ -contractions in partially ordered metric spaces. Fixed Point Theory Appl. 2012 (2012), Article Id:44

3. Altun, I., Simsek, H.: Some fixed point theorems on ordered metric spaces and application. Fixed Point Theory Appl. 2010 (2010), Article Id: 621469

4. Banach, S.: Sur les oprations dans les ensembles abstraits et leur application aux quations intgrales. Fund. Math. 3, 133–181 (1922)

5. Bhaskar, T.G., Lakshmikantham, V.: Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. 65, 1379–1393 (2006)

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