@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}, }