Equivalence of diagonal contractions to generalized IW-contractions with integer exponents

High-Quality Simplification with Generalized Pair Contractions

Because of its simplicity, the vertex pair contraction operation became very popular in mesh simplification. It allows for topological changes during simplification. In this paper we propose the use of the additional pair contractions of a vertex and an edge or a triangle and of two edges. The generalized contraction operations have several advantages over simple vertex pair contraction. They a...

The equivalence between the Mann and Ishikawa iterations dealing with generalized 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.

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

In this paper, we explain a new generalized contractive condition for multivalued mappings and prove a fixed point theorem in metric spaces (not necessary complete) which extends some well-known results in the literature. Finally, as an application, we prove that a multivalued function satisfying a general linear functional inclusion admits a unique selection fulfilling the corresp...