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Generalized altering distances and fixed point for occasionally hybrid mappings

Marzouki B., El Haddouchi A.

Fasciculi Mathematici

2016

Nr 56

111--120

In this work we are interested in the generalization of the result which is in the article [20]. To realize this, we weaken the two conditions that are : weakly altering distance and occasionally weakly compatible, then we neglect the distance altered because of some changes in theorem.

A general coincidence and common fixed point theorem for two hybrid pairs of mappings

Popa V.

Demonstratio Mathematica

2014

Vol. 47, nr 4

971--978

In this paper, a general coincidence and common fixed points theorem for two hybrid pairs of mappings satisfying property (E.A) is proved, generalizing the main results from [3] and [9].

Altering distances, fixed point for occasionally hybrid mappings and applications

Popa V., Patriciu A M

Fasciculi Mathematici

2012

Nr 49

101--112

The purpose of this paper is to prove a general fixed point theorem by altering distance for two pairs of hybrid occasionally weakly compatible mappings and to reduce the study of fixed points of pairs of mappings satisfying a contractive condition of integral type at the study of fixed point in symmetric spaces by altering distance satisfying an implicit relation.

Coincidence and common fixed point theorems via r-weak commutativity of type (AT)

Aliouche A., Popa V.

Fasciculi Mathematici

2009

Nr 41

5-16

We prove common fixed point theorems for two pairs of hybrid mappings satisfying implicit relations in complete metric spaces using the concept of R—weak commutativity of type At and we correct errors of [1], [3] and [8]. Our theorems generalize results of [1-3], [8], [12-16] and [21],