Well-Posedness Scheme for Coupled Fixed-Point Problems Using Generalized Contractions

Akkouchi WELL - POSEDNESS OF THE FIXED POINT PROBLEM FOR φ - MAX - CONTRACTIONS

We study the well-posedness of the fixed point problem for self-mappings of a metric space which are φ-max-contractions (see [6]).

Common fixed points of four maps using generalized weak contractivity and well-posedness

In this paper, we introduce the concept of generalized -contractivityof a pair of maps w.r.t. another pair. We establish a common fixed point result fortwo pairs of self-mappings, when one of these pairs is generalized -contractionw.r.t. the other and study the well-posedness of their fixed point problem. Inparticular, our fixed point result extends the main result of a recent paper ofQingnian ...

Approximate fixed point theorems for Geraghty-contractions

The purpose of this paper is to obtain necessary and suffcient conditionsfor existence approximate fixed point on Geraghty-contraction. In this paper,denitions of approximate -pair fixed point for two maps Tα , Sα and theirdiameters are given in a metric space.

Coupled Fixed Point Theorems under Weak Contractions

Coupled common fixed point theorems for $varphi$-contractions in probabilistic metric spaces and applications

In this paper, we give some new coupled common  fixed point theorems for probabilistic $varphi$-contractions  in Menger probabilistic metric spaces.  As applications of the main results, we obtain some coupled common fixed point theorems in usual metric spaces and fuzzy metric spaces. The main results of this paper improvethe corresponding results given by some authors. Finally, we give one exa...