Essential maps and coincidence principles for general classes of maps

Coincidence type alternatives for Φ–essential maps

In this paper we present some criteria for Φ-essential maps and as a consequence these generate a number of new Leray-Schauder type alternatives. c ©2016 All rights reserved.

Semi-θ-Open Sets and New Classes of Maps

Best proximity pair and coincidence point theorems for nonexpansive set-valued maps in Hilbert spaces

This paper is concerned with the best proximity pair problem in Hilbert spaces. Given two subsets $A$ and $B$ of a Hilbert space $H$ and the set-valued maps $F:A o 2^ B$ and $G:A_0 o 2^{A_0}$, where $A_0={xin A: |x-y|=d(A,B)~~~mbox{for some}~~~ yin B}$, best proximity pair theorems provide sufficient conditions that ensure the existence of an $x_0in A$ such that $$d(G(x_0),F(x_0))=d(A,B).$$

Coincidence Free Pairs of Maps

This paper centers around two basic problems of topological coincidence theory. First, try to measure (with the help of Nielsen and minimum numbers) how far a given pair of maps is from being loose, i.e. from being homotopic to a pair of coincidence free maps. Secondly, describe the set of loose pairs of homotopy classes. We give a brief (and necessarily very incomplete) survey of some old and ...

Coincidence Points for Contraction Type Maps

Some new results on the existence of coincidence points for multivalued f -contractive maps have been obtained. Our results improve and extend various known results existing in the literature.