Existence of Fixed Points for Some Mappings in Various Spaces

Abstract

The present thesis entitled “Existence of Fixed Points for Some Mappings in Various Spaces” comprises certain investigations carried out by me at the School of Mathematics and Computer Applications (SMCA), Thapar University, Patiala, under the supervision of Dr. S. S. Bhatia, Professor, SMCA, Thapar University, Patiala and Dr. Jatinderdeep Kaur, Assistant Professor, SMCA, Thapar University, Patiala. A very important mechanism for the progress in the field of science and technology is to generalize the existing ideas. The present thesis has been written on the same basis. In this thesis, various fixed point results in various abstract spaces such as: metric spaces, G- metric spaces, complex valued metric spaces, partial Hausdorff metric spaces and partially ordered metric spaces have been discussed and thereby many existing results have been extended and generalized.