Some fixed point theorems in Menger spaces and applications: New Results - Couverture souple

Kumar, Suneel; Pant, B. D.

 
9783848449996: Some fixed point theorems in Menger spaces and applications: New Results
Couverture souple
ISBN 10 : 3848449994 ISBN 13 : 9783848449996
Editeur : LAP LAMBERT Academic Publishing, 2012

Synopsis

Fixed Point Theory is a beautiful mixture of analysis (pure and applied), topology and geometry. Fixed point theorems give the conditions under which mappings (single or multivalued) have solutions. The fixed point theory in probabilistic metric spaces is useful in the study of existence of solutions of operator equations in probabilistic metric space and probabilistic functional analysis, which is a very dynamic area of mathematical research. The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance between two points; we know only probabilities of possible values of this distance. This book contains six chapters. New fixed point theorems for contraction mappings, expansion mappings, probabilistic densifying mappings are obtained in Menger spaces. Also related fixed point theorems in Menger spaces and applications of fixed point theorems are studied. This book will help the researchers studying fixed point theory.

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Présentation de l'éditeur

Fixed Point Theory is a beautiful mixture of analysis (pure and applied), topology and geometry. Fixed point theorems give the conditions under which mappings (single or multivalued) have solutions. The fixed point theory in probabilistic metric spaces is useful in the study of existence of solutions of operator equations in probabilistic metric space and probabilistic functional analysis, which is a very dynamic area of mathematical research. The notion of a probabilistic metric space corresponds to the situations when we do not know exactly the distance between two points; we know only probabilities of possible values of this distance. This book contains six chapters. New fixed point theorems for contraction mappings, expansion mappings, probabilistic densifying mappings are obtained in Menger spaces. Also related fixed point theorems in Menger spaces and applications of fixed point theorems are studied. This book will help the researchers studying fixed point theory.

Biographie de l'auteur

Ph.D. Mathematics; Studied at R.H. Government Postgraduate College Kashipur (Kumaun University, Nainital); Mathematics Teacher in Department of School Education, Govt. of Uttarakhand, INDIA

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
2012
Langue
anglais
ISBN 10 
3848449994
ISBN 13 
9783848449996
Reliure
Broché
Nombre de pages
84
Coordonnées du fabricant
non disponible
Personne responsable
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