Extending Generalized Whitney Maps

Extending Lipschitz functions via random metric partitions

Many classical problems in geometry and analysis involve the gluing together of local information to produce a coherent global picture. Inevitably, the difficulty of such a procedure lies at the local boundary, where overlapping views of the same locality must somehow be merged. It is therefore desirable that the boundaries be “smooth,” allowing a graceful transition from one viewpoint to the n...

Embeddings in Generalized Manifolds

We prove that a (2m n+1)-connectedmap f : Mm ! Xn from a compact PL m-manifoldM to a generalized n-manifoldX with the disjoint disks property, 3m 2n 2, is homotopic to a tame embedding. There is also a controlled version of this result, as well as a version for noncompactM and proper maps f that are properly (2m n+ 1)-connected. The techniques developed lead to a general position result for arb...

Best Proximity Points Results for Cone Generalized Semi-Cyclic φ-Contraction Maps

In this paper, we introduce a cone generalized semi-cyclicφ−contraction maps and prove best proximity points theorems for such mapsin cone metric spaces. Also, we study existence and convergence results ofbest proximity points of such maps in normal cone metric spaces. Our resultsgeneralize some results on the topic.

Generalized Regular Fuzzy Irresolute Mappings and Their Applications

In this paper, the notion of generalized regular fuzzy irresolute, generalized regular fuzzy irresolute open  and generalized regular fuzzy irresolute closed maps in fuzzy  topological spaces are introduced and studied. Moreover, some separation axioms and $r$-GRF-separated sets are established. Also, the relations between generalized regular fuzzy continuous maps and generalized regular fuzzy ...

Common Fixed Points of Generalized Contractive Maps in Cone Metric Spaces