CAPITAL UNIVERSITY OF SCIENCE AND
TECHNOLOGY, ISLAMABAD
Fixed Point Theorems in
Operator-Valued Metric Spaces
by
Samina Batul
A thesis submitted in partial fulfillment of the requirement
for the degree of
Doctor of Philosophy
Faculty of Computing
Department of Mathematics
September 2016
, Copyright c 2016 by Samina Batul
All rights reserved. No part of this publication may be reproduced or distributed
in any form or by any means, electronic, mechanical, photocopying, recording, or
otherwise stored in a database without prior written permission of Samina Batul
or designated representative.
,Dedicated To My (late) Parents
ii
, Declaration of Authorship
I, Samina Batul, declare that this thesis titled, ‘Fixed Point Theorems in Operator-
Valued Metric Spaces’ and the work presented in it is my own. I confirm that:
This work was done wholly or mainly while in candidature for a research
degree at this University.
Where any part of this thesis has previously been submitted for a degree or
any other qualification at this University or any other institution, this has
been clearly stated.
Where I have consulted the published work of others, this is always clearly
attributed.
Where I have quoted from the work of others, the source is always given.
With the exception of such quotations, this thesis is entirely my own work.
I have acknowledged all main sources of help.
Where the thesis is based on work done by myself jointly with others, I have
made clear exactly what was done by others and what I have contributed
myself.
Signed:
Date:
iii
TECHNOLOGY, ISLAMABAD
Fixed Point Theorems in
Operator-Valued Metric Spaces
by
Samina Batul
A thesis submitted in partial fulfillment of the requirement
for the degree of
Doctor of Philosophy
Faculty of Computing
Department of Mathematics
September 2016
, Copyright c 2016 by Samina Batul
All rights reserved. No part of this publication may be reproduced or distributed
in any form or by any means, electronic, mechanical, photocopying, recording, or
otherwise stored in a database without prior written permission of Samina Batul
or designated representative.
,Dedicated To My (late) Parents
ii
, Declaration of Authorship
I, Samina Batul, declare that this thesis titled, ‘Fixed Point Theorems in Operator-
Valued Metric Spaces’ and the work presented in it is my own. I confirm that:
This work was done wholly or mainly while in candidature for a research
degree at this University.
Where any part of this thesis has previously been submitted for a degree or
any other qualification at this University or any other institution, this has
been clearly stated.
Where I have consulted the published work of others, this is always clearly
attributed.
Where I have quoted from the work of others, the source is always given.
With the exception of such quotations, this thesis is entirely my own work.
I have acknowledged all main sources of help.
Where the thesis is based on work done by myself jointly with others, I have
made clear exactly what was done by others and what I have contributed
myself.
Signed:
Date:
iii
