Arya Bhatta Journal of Mathematics and Informatics
  • Year: 2018
  • Volume: 10
  • Issue: 1

Common fixed point theorems for occasionally weakly compatible mappings satisfying implicit relation in modular metric spaces

  • Author:
  • Prerna Pathak, Aklesh Pariya, V. H. Badshah, Nirmala Gupta
  • Total Page Count: 8
  • Page Number: 209 to 216

*School of Studies in Mathematics Vikram University, Ujjain (M.P.), India, E-mail: prernapathak20@yahoo.com

**Department of Mathematics, Medi-caps University, Indore (M.P.), India, akleshpariya3@yahoo.co.in

***Department of Mathematics, Govt. Girls Degree College, Ujjain (M.P.), India, gupta.nirmala70@gmail.com

****School of Studies in Mathematics Vikram University, Ujjain (M.P.), India

Online published on 18 April, 2018.

Abstract

In this paper, we proved some common fixed point theorems for two pairs of occasionally weakly compatible (owc) mappings satisfying implicit relations in modular metric space. The study is an extension and generalization to the common fixed point theorems for occasionally weakly compatible mappings satisfying implicit relation in modular metric spaces. MSC: Primary 47H10, Secondary 54H25.

Keywords

Common fixed point, implicit relations, occasionally compatible mapping