Weakly isotone increasing mappings and endpoints in partially ordered metric spaces
1 Department of Mathematics, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia
2 Department of Mathematics, Disha Institute of Management and Technology, Satya Vihar, Vidhansabha-Chandrakhuri Marg, Mandir Hasaud, Raipur, Chhattisgarh, 492101, India
3 Faculty of Mathematics, University of Belgrade, Studentski trg 16, Beograd, 11000, Serbia
4 Department of Mathematics, King Abdulaziz University, P.O. Box 138381, Jeddah, 21323, Saudi Arabia
Journal of Inequalities and Applications 2012, 2012:232 doi:10.1186/1029-242X-2012-232Published: 16 October 2012
The aim of this work is to extend the notion of weakly isotone increasing mappings to multivalued and present common endpoint theorems for -weakly isotone increasing multivalued mappings satisfying generalized -weak contractive as well as almost contractive inequalities in complete partially ordered metric spaces. Examples are given in support of the new results obtained.
MSC: 47H10, 54H25, 54H10.