@article{(Open Science Index):https://publications.waset.org/pdf/16981,
	  title     = {Fixed Point Theorems for Set Valued Mappings in Partially Ordered Metric Spaces},
	  author    = {Ismat Beg and  Asma Rashid Butt},
	  country	= {},
	  institution	= {},
	  abstract     = {Let (X,) be a partially ordered set and d be a metric on X such that (X, d) is a complete metric space. Assume that X satisfies; if a non-decreasing sequence xn → x in X, then xn  x, for all n. Let F be a set valued mapping from X into X with nonempty closed bounded values satisfying; (i) there exists κ ∈ (0, 1) with D(F(x), F(y)) ≤ κd(x, y), for all x  y, (ii) if d(x, y) < ε < 1 for some y ∈ F(x) then x  y, (iii) there exists x0 ∈ X, and some x1 ∈ F(x0) with x0  x1 such that d(x0, x1) < 1. It is shown that F has a fixed point. Several consequences are also obtained.
},
	    journal   = {International Journal of Mathematical and Computational Sciences},
	  volume    = {7},
	  number    = {2},
	  year      = {2013},
	  pages     = {249 - 251},
	  ee        = {https://publications.waset.org/pdf/16981},
	  url   	= {https://publications.waset.org/vol/74},
	  bibsource = {https://publications.waset.org/},
	  issn  	= {eISSN: 1307-6892},
	  publisher = {World Academy of Science, Engineering and Technology},
	  index 	= {Open Science Index 74, 2013},
	}