Sentence examples for extend complement from inspiring English sources

Thus, the results extend, complement, and improve the results on multivalued and single-valued mappings in the contemporary literature.

The obtained results extend, complement and unify some recent coupled fixed point theorems due to Samet (Nonlinear Anal. 72 4508-4517, 2010), Bhaskar and Lakshmikantham (Nonlinear Anal. 65:1379-1393, 2006) and some other very recent papers.

The results obtained extend, complement, and improve the results on multivalued and single-valued mappings and also give a partial solution to the problem of removing the strict fixed point set condition usually imposed on S. In the sequel, we shall need the following definitions and lemmas.

Since individual operators might face different constraints such as available spectrum licenses, technologies, cost structures or a low energy footprint, the EU FP7 CARrier grade wireless MEsh Network (CARMEN) project has developed a carrier-grade heterogeneous multi-radio back-haul architecture which may be deployed to extend, complement or even replace traditional operator equipment.

Drawing on information and analysis collected for a major review of Australia's NIS, and the government's 10-year plan in response to it, we show how the free market trajectory of policy-making of past decades is being extended, complemented and refocused by new approaches to complex-evolutionary system thinking.

Our efforts overlap, extend and complement theirs.

Our results extend and complement some results in the literature.

Our results extend and complement some results in [19].

In some sense, our results extend and complement theirs.

Our results unify, extend, and complement several well-known results.

Our results improve, extend, and complement all the results in literature.