Generalized Interpolative Contractions and an Application

SIMULATION FUNCTIONS AND INTERPOLATIVE CONTRACTIONS

In this manuscript, we consider the interpolative contractions mappings via simulation func-tions in the setting of complete metric space. We also express an illustrative example to show the validity of our presented results.

Common fixed points of generalized contractions on partial metric spaces and an application

Keywords : Coincidence point Common fixed point Partial metric space Weakly compatible pair of mappings Homotopy a b s t r a c t In this paper , common fixed point theorems for four mappings satisfying a generalized nonlinear contraction type condition on partial metric spaces are proved. Presented theorems extend the very recent results of I. Altun , F. Sola and H. Simsek [ Generalized contrac...

An Extension of Generalized (ψ,φ)-Weak Contractions

Generalized Weakly Contractions in Partially Ordered Fuzzy Metric Spaces

In this paper, a concept of generalized weakly contraction mappings in partially ordered fuzzy metric spaces is introduced and  coincidence point  theorems on partially ordered fuzzy metric spaces are proved. Also, as the corollary of these theorems, some common fixed point theorems on partially ordered fuzzy metric spaces are presented.

Generalized multivalued $F$-weak contractions on complete metric spaces

In this paper,  we introduce the notion of  generalized multivalued  $F$- weak contraction and we prove some fixed point theorems related to introduced  contraction for multivalued mapping in complete metric spaces.  Our results extend and improve the results announced by many others with less hypothesis. Also, we give some illustrative examples.