Altering distances and fixed point results for tangential hybrid pairs of mappings

Mohamed Akkouchi; Valeriu Popa

Published: 2013-01-15

Vol. 26 (2012)

Altering distances and fixed point results for tangential hybrid pairs of mappings

Mohamed Akkouchi , Valeriu Popa

Abstract

The aim of this paper is to prove a general fixed point result by altering distances for two occasionally weakly compatible (owc) pairs of hybrid mappings and to reduce the study of fixed points of the pairs of mappings satisfying a contractive condition of integral type at the study of fixed points in metric spaces by altering distances satisfying a new type of implicit relations generalizing the result recently obtained by H.K. Pathak and Naseer Shahzad (see Bull. Belg. Math. Soc. Simon Stevin, 16 (2009), 1-12) which is of Gregus type.

Keywords:

common fixed point , occasionally weakly compatible mappings , occasionally compatible hybrid pair of mappings , property (E.A) , D-mappings , weak tangent points , tangential pairs of mappings , contractive condition of integral type , implicit relations , altering distances

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Akkouchi, M., & Popa, V. (2013). Altering distances and fixed point results for tangential hybrid pairs of mappings. Annales Mathematicae Silesianae, 26, 25–41. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/14011

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Mohamed Akkouchi

akkouchimo@yahoo.fr

Affiliation:

Département de Mathématiques, Faculté des Sciences-Semlalia, Université Cadi Ayyad, Morocco Morocco

Valeriu Popa

Affiliation:

Universitatea Vasile Alecsandri, Romania Romania

Vol. 26 (2012)
Published: 2013-01-15

ISSN: 0860-2107

eISSN: 2391-4238

10.1515/amsil

Publisher

University of Silesia Press

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