Common Fixed Point Theorms Using Generalized Contractive Conditions

common fixed point theorms using generalized contractive conditions

Common fixed point theorems for generalized contractive mappings with applications

Certain common fixed point results involving four mappings satisfying generalized contractive conditions on a cone metric type space are obtained. Our results substantially improve and extend a number of known results. An example is given in support of the new results developed here. As an application, we establish the existence of a solution for an implicit integral equation. MSC: Primary 47H0...

Common Fixed Point of Multivalued Generalized -Weak Contractive Mappings

Abstract In this paper, fixed point and coincidence results are presented for multivalued generalized φ-weak contractive mappings on complete metric spaces, where φ : [0, +∞) −→ [0, +∞) is a lower semicontinuous function with φ(0) = 0 and φ(t) > 0 for all t > 0. Our results extend previous results by Zhang and Song (2009), as well as by Rhoades (2001), Nadler (1969), and Daffer and Kaneko (1995).

Common Fixed Point Theorems for Hybrid Mappings Satisfying Generalized Contractive Conditions

We prove common fixed point theorems in symmetric spaces for two pairs of hybrid mappings using the concept of T−weakly and S−weakly commuting mappings satisfying generalized contractive conditions which generalize theorems of Aamri and El Moutawakil [J. Math. Anal. Appl., 270 (2002), 181–188.], Aamri and El Moutawakil [Appl. Math. E-notes., 3 (2003), 156–162.] and Aliouche [J. Math. Anal. Appl...

$C$-class Functions and Common Fixed Point Theorems Satisfying $varphi $-weakly Contractive Conditions

In this paper, we discuss and extend some recent common fixed point results established by using $varphi-$weakly contractive mappings. A very important step in the development of the fixed point theory was given by A.H. Ansari by the introduction of a $C-$class function. Using $C-$class functions, we generalize some known fixed point results. This type of functions is a very important class of ...

Generalized weakly contractive multivalued mappings and common fixed points

In this paper we introduce the concept of generalized weakly contractiveness for a pair of multivalued mappings in a metric space. We then prove the existence of a common fixed point for such mappings in a complete metric space. Our result generalizes the corresponding results for single valued mappings proved by Zhang and Song [14], as well as those proved by D. Doric [4].