Articles liés à Fixed Point Results in Dislocated and Dislocated Quasi...

Fixed Point Results in Dislocated and Dislocated Quasi Metric Spaces - Couverture souple

Panthi, Dinesh

 
9783659488740: Fixed Point Results in Dislocated and Dislocated Quasi Metric Spaces
Couverture souple
ISBN 10 : 3659488747 ISBN 13 : 9783659488740
Editeur : LAP LAMBERT Academic Publishing, 2013

Synopsis

The fixed point theory is a part of non-linear analysis since 1960 in the field of mathematics as it provides the necessary tools to have existence theorems in many different non-linear problems. Although Dutch mathematician L.E.J Brouwer established the first fixed point theorem but the credit of making concept useful and popular goes to Polish mathematician S. Banach in 1922 who proved famous Banach contraction mapping principle. The notion of dislocated metric space was first time introduced in 1986 under the name of metric domains. Dislocated quasi metric space was introduced in 2006 as a generalization of important theorems of dislocated metric space. These spaces are important extensions of metric space and play important roles for the development of non-linear analysis. This research work investigates some fixed point theorems in these spaces which extend and unify some well-known similar results in the literature. A survey work on some fixed point theorems of asymptotic contractions in metric space has also been presented. This work should be especially useful to young researchers and anyone else who work in the field of non linear analysis.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.

Présentation de l'éditeur

The fixed point theory is a part of non-linear analysis since 1960 in the field of mathematics as it provides the necessary tools to have existence theorems in many different non-linear problems. Although Dutch mathematician L.E.J Brouwer established the first fixed point theorem but the credit of making concept useful and popular goes to Polish mathematician S. Banach in 1922 who proved famous Banach contraction mapping principle. The notion of dislocated metric space was first time introduced in 1986 under the name of metric domains. Dislocated quasi metric space was introduced in 2006 as a generalization of important theorems of dislocated metric space. These spaces are important extensions of metric space and play important roles for the development of non-linear analysis. This research work investigates some fixed point theorems in these spaces which extend and unify some well-known similar results in the literature. A survey work on some fixed point theorems of asymptotic contractions in metric space has also been presented. This work should be especially useful to young researchers and anyone else who work in the field of non linear analysis.

Biographie de l'auteur

PhD in Mathematics from Kathmandu University, Nepal (2013). Research work in functional analysis with specialization in fixed point theory in Dislocated Metric Space and Dislocated Quasi Metric Spaces. Associate Professor at Department of Mathematics, Valmeeki Vidyapeeth, Nepal Sanskrit University, Nepal since 1998.

Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.

Éditeur
LAP LAMBERT Academic Publishing
Date d'édition
2013
Langue
anglais
ISBN 10 
3659488747
ISBN 13 
9783659488740
Reliure
Broché
Nombre de pages
68
Coordonnées du fabricant
non disponible
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