Title of article
Best proximity points of discontinuous operator in partially ordered metric spaces
Author/Authors
Choudhury ، B. S. - Indian Institute of Engineering Science and Technology , Jleli ، M. - King Saud University , Maity ، P. - Indian Institute of Engineering Science and Technology
Pages
8
From page
308
To page
315
Abstract
In this paper we establish best proximity point results for monotone multivalued mappings in partially ordered metric spaces. We consider three notions of monotonicity of multivalued mappings. The main theorem is obtained by utilizing property UC and MT-functions. There is no requirement of continuity on the multivalued function which is illustrated with two supporting examples of the results established in this paper. There are two corollaries. Some existing results are extended to the domain of partially ordered metric spaces through one of the corollaries
Keywords
Best proximity point , multivalued cyclic mapping , multivalued approximately monotone increasing mapping , multivalued partly monotone increasing mapping.
Journal title
Journal of Nonlinear Science and Applications
Serial Year
2017
Journal title
Journal of Nonlinear Science and Applications
Record number
2476156
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