In this paper, we introduce three classes of proximal contractions that are called the proximally λ−ψ−dominated contractions, generalized ηβγ−proximal and Berinde-type weak obtain common best proximity points for these in setting F−metric spaces. Further, point result α−φ−proximal As an application, fixed coincidence results obtained. Some examples provided to support validity our main results....

Novel cyclic contractions of the Kannan and Chatterjea type are presented in this study. With aid these brand-new contractions, new results for existence uniqueness fixed points setting complete generalized metric space have been established. Importantly, generalizations extensions point theorems by their cyclical expansions that found literature. Additionally, several existing on will be work....

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...

In this paper, we prove new fixed point theorems for generalized asymptotic pointwise ρ−contractions involving orbits in modular spaces.

In this paper, we present the notions of proximal contractions of Perov first and second kind and proximal cyclic contractions of Perov type and prove the existence and uniqueness of coincidence best proximity point under these contractive conditions in the frame work of regular cone metric space. Our results extend and generalized many existing results in literature.