Pattern Recognition and Image Processing Group Institute of Computer Aided Automation Vienna University of Technology Treitlstr. 3/1832 A-1040 Vienna AUSTRIA Phone: +43 (1) 58801-18351 Fax: +43 (1) 5054668 E-mail: [email protected], [email protected] URL: http://www.prip.tuwien.ac.at/ PRIP-TR-54 January 29, 1999 Dual Contraction of Combinatorial Maps Luc Brun and Walter Kropatsch1 Abs...

Graph pyramids are made of a stack of successively reduced graphs embedded in the plane. Such pyramids overcome the main limitations of their regular ancestors. The graphs used in the pyramid may be region adjacency graphs, dual graphs or combinatorial maps. Compared to usual graph data structures, combinatorial maps offer an explicit encoding of the orientation of edges around vertices. Each c...

In this paper, we introduce the concepts of qpb-cyclic-Banach contraction mapping, qpb-cyclic-Kannan mapping and qpb-cyclic β-quasi-contraction mapping and establish the existence and uniqueness of fixed point theorems for these mappings in quasi-partial b-metric spaces. Some examples are presented to validate our results. c ©2016 All rights reserved.

In this work, we study the generalized complex valued metric space for some partial order relation and give example. Then established proved a uniqueness of coincidence point common fixed theorems with satisfy weakly compatible contraction. The results extend improve Elkouch Marhrani [8], Abbasand Jungck [1].

We extend the notion of generalized weakly contraction mappings due to Choudhury et al. (2011) to generalized α-β-weakly contraction mappings. We show with examples that our new class of mappings is a real generalization of several known classes of mappings. We also establish fixed point results for such mappings in metric spaces. Applying our new results, we obtain fixed point results on ordin...

In this work, we give a partial positive answer to the question concerning set-valued quasicontraction proposed by Amini-Harandi (Appl. Math. Lett. 24:1791-1794 2011). By useful lemma, prove fixed point theorem for quasi-contraction, which extends range of contraction constant in result from [0, 1/2) 1/3? 3). Also, new simple proof quasi-contraction type Haghi et al. 25:843-846 2012). Finally, ...