Journal of Engineering and Applied Sciences

Year: 2019
Volume: 14
Issue: 8 SI
Page No. 10256 - 10261

Common Fixed Point Theorems for Weak (ψ, φ) -Contraction in B-Rectangular Metric Spaces

Authors : Alia Shani Hassan, Sahar Jaafar Mahmood and Dhirgam Allawy Hussein

References

Abbas, M., T. Nazir and S. Radenovic, 2011. Common fixed points of four maps in partially ordered metric spaces. Appl. Mathe. Lett., 24: 1520-1526.

Aydi, H. and E. Karapinar, 2012. Tripled coincidence point theorems for a class of contractions in ordered metric spaces. Acta Universitatis Apulensis, 32: 195-208.

Aydi, H., M. Postolache and W. Shatanawi, 2012. Coupled fixed point results for (ψ, ϕ)-weakly contractive mappings in ordered G-metric spaces. Comput. Math. Applic., 63: 298-309.
CrossRef  |  Direct Link  |  

Bhaskar, T.G. and V. Lakshmikantham, 2006. Fixed point theorems in partially ordered metric spaces and applications. Nonlinear Anal. Theor. Methods Appl., 65: 1379-1393.
CrossRef  |  Direct Link  |  

Chandok, S., 2011. Some common fixed point theorems for generalized F-weakly contractive mappings. J. Applied Math. Inf., 29: 257-265.
Direct Link  |  

Chandok, S., 2012. Common fixed points, invariant approximation and generalized weak contractions. Int. J. Math. Math. Sci., Vol. 2012, 10.1155/2012/102980

Chandok, S., Z. Mustafa and M. Postolache, 2013. Coupled common fixed point theorems for mixed G-monotone mappings in partially ordered G-metric spaces. UPB. Sci. Bull. Ser. A., 75: 13-26.
Direct Link  |  

Ciric, L.B., 1974. A generalization of Banach’s contraction principle. Proc. Am. Math. Soc., 45: 267-273.
CrossRef  |  Direct Link  |  

Djoudi, A. and L. Nisse, 2003. Gregus type fixed points for weakly compatible maps. Bull. Belgian Math. Soc. Simon Stevin, 10: 369-378.
Direct Link  |  

George, R., S. Radenovic, K.P. Reshma and S. Shukla, 2015. Rectangular B-metric space and contraction principles. J. Nonlinear Sci. Appl., 8: 1005-1013.
CrossRef  |  Direct Link  |  

Jungck, G. and B.E. Rhoades, 1998. Fixed points for set valued functions without continuity. Indian J. Pure Appl. Math., 29: 227-238.
Direct Link  |  

Nieto J.J. and R.R. Lopez, 2005. Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations. Order, 22: 223-239.
CrossRef  |  

Nieto, J.J. and R. Rodriguez-Lopez, 2007. Existence and uniqueness of fixed point in partially ordered sets and applications to ordinary differential equations. Acta Math. Sin. English Ser., 23: 2205-2212.
CrossRef  |  Direct Link  |  

Olatinwo, M.O. and M. Postolache, 2012. Stability results for Jungck-type iterative processes in convex metric spaces. Applied Math. Comput., 218: 6727-6732.
CrossRef  |  Direct Link  |  

Ran, A.C.M. and M.C.B. Reurings, 2004. A fixed point theorem in partially ordered sets and some application to matrix equations. Proc. Amer. Mathe. Soc., 132: 1435-1443.

Roshan, J.R., V. Parvaneh, Z. Kadelburg and N. Hussain, 2016. New fixed point results in b-rectangular metric spaces. Nonlinear Anal. Model. Control, 21: 614-634.
CrossRef  |  Direct Link  |  

Design and power by Medwell Web Development Team. © Medwell Publishing 2023 All Rights Reserved