Gregus type fixed point theorems for weakly subsequentially continuous mappings satisfying strict contractive condition of integral type

Authors

  • Said Beloul Department of Mathematics and Informatics, College of Sciences and Technology, University of El-Oued, BP789, 39000, El Oued, Algeria
  • Sunny Chauhan Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246701, U.P. India.

Keywords:

Gregus type fixed point, weakly subsequentially continuous, compatible of type (E)

Abstract

In the present  paper, we prove two common fixed point theorems of Gregus type for two pairs of self mappings satisfying strict contractive condition of integral type by using the weak subsequential continuity property with compatibility of type $(E)$ due to Singh and Mishra [Coincidence and fixed points of reciprocally continuous and compatible hybrid maps, Internat. J. Math. Math. Sci. 10 (2002), 627-635] in metric spaces. Our results improve and the results of Chauhan et al. [Some integral type fixed-point theorems and an application to systems of functional equations, Vietnam J. Math. 42 (2014), no. 1, 17-37] and relevant literature.

Author Biographies

  • Said Beloul, Department of Mathematics and Informatics, College of Sciences and Technology, University of El-Oued, BP789, 39000, El Oued, Algeria
    Mathematics
  • Sunny Chauhan, Near Nehru Training Centre, H. No. 274, Nai Basti B-14, Bijnor-246701, U.P. India.
    Mathematics

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Published

2017-02-16

Issue

Vol. 71 No. 2 (2016)

Section

Articoli

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