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Some common fixed point theorems for occasionally weakly compatible mappings satisfying implicit relation and contractive modulus

Bouhadjera H, Popa V.

Fasciculi Mathematici

2013

Nr 51

53--60

In this note, we prove some common fixed point theorems for occasionally weakly compatible mappings satisfying an implicit relation and a contractive modulus.

Well-posedness of fixed point problem for a hybrid pair of mappings

Akkouchi M., Popa V.

Fasciculi Mathematici

2011

Nr 46

5--15

The purpose of this paper is to extend the notion of well-posedness of xed point problem for a mapping to a hybrid pair of mappings. Also, we prove a general common fixed point theorem for a pair of D-mappings for which the xed point problem is well posed.

Common fixed points for weakly compatible maps satisfying implicit relations without continuity

Akkouchi M.

Demonstratio Mathematica

2011

Vol. 44, nr 1

151--158

The purpose of this paper is to prove a common fixed point theorem for a set of four mappings on a complete metric space, using weak compatibility and a general implicit relation without appeal to continuity. Our results improve and generalize all the results obtained by A. Djoudi in a paper published in 2003.

Well-posedness of fixed point problem for mappings satisfying an implicit relation

Akkouchi M., Popa V.

Demonstratio Mathematica

2010

Vol. 43, nr 4

923-929

The notion of well-posedness of a fixed point problem has generated much interest to a several mathematicians, for example, F. S. De Blassi and J. Myjak (1989), S. Reich and A. J. Zaslavski (2001), B. K. Lahiri and P. Das (2005) and V. Popa (2006 and 2008). The aim of this paper is to prove for mappings satisfying some implicit relations in orbitally complete metric spaces, that fixed point problem is well-posed.