Common fixed point theorems for generalized contraction mappings in modular metric spaces

Aklesh Pariya, Prerna Pathak, V.H. Badshah, Nirmala Gupta

Abstract


The notion of modular metric spaces being a natural generalization of classical modulars over linear spaces Lebesgue, Orlicz, Musielak-Orlicz, Lorentz, Orlicz-Lorentz, and Calderon-Lozanovskii spaces was recently introduced. Chistyakov [4, 6] introduced and studied the concept of modular metric spaces and proved fixed point theorems for contractive map in Modular spaces. It is related to contracting rather “generalized average velocities” than metric distances, and the successive approximations of fixed points converge to the fixed points in a weaker sense as compared to metric convergence. In this paper, we prove some unique common fixed point theorems for generalized contraction type mappings for six self occasionally weakly compatible mappings in modular metric spaces.

Full Text: PDF

Published: 2017-04-26

How to Cite this Article:

Aklesh Pariya, Prerna Pathak, V.H. Badshah, Nirmala Gupta, Common fixed point theorems for generalized contraction mappings in modular metric spaces, Advances in Inequalities and Applications, Vol 2017 (2017), Article ID 9

Copyright © 2017 Aklesh Pariya, Prerna Pathak, V.H. Badshah, Nirmala Gupta. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Advances in Inequalities and Applications

ISSN 2050-7461

Editorial Office: office@scik.org

Copyright ©2017 SCIK Publishing Corporation. All rights reserved.