Jñānābha‎, Vol. 49 (2) (2019), 34-44

COMMON FIXED POINTS FOR GENERALIZED MULTIVALUED CONTRACTION MAPPINGS ON WEAK PARTIAL METRIC SPACES

By

Smita Negi and U. C. Gairola

Department of Mathematics, H. N. B. Garhwal University

BGR Campus, Pauri Garhwal-246001, Uttarakhand, India

Email : smitanegi.sn@gmail.com, ucgairola@rediffmail.com

(Received : August 16, 2019 ; Revised: October 25, 2019)



Abstract

In this paper, we define multivalued generalized contraction map and establish a common .fixed point theorem for this map in the setting of newly introduced weak partial metric space which generalize some well known results of partial metric space in the literature.


2010 Mathematics Subject Classification47H10, 54H25
Keywords and phrasesWeak Partial metric space, Partial Hausdorff metric, Common fixed point.