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FIXED POINT THEOREMS AND BEST APPROXIMATION IN CONVEX METRIC SPACES 被引量:2
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作者 I.Beg N.Shahzad M.Iqbal 《Analysis in Theory and Applications》 1992年第4期97-105,共9页
Results regarding best approximation and best Simultaneous approximation on convex metric spaces are Obtained.Existence of fixed points for an ultimately nonexpansive semigroup of mappings is also shown.
关键词 CIG FIXED POINT theorems AND best approximation IN CONVEX METRIC SPACES
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The best approximation theorems and variational inequalities for discontinuous mappings in Banach spaces
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作者 LIU LiShan KONG DeZhou WU YongHong 《Science China Mathematics》 SCIE CSCD 2015年第12期2581-2592,共12页
We discuss Ky Fan's theorem and the variational inequality problem for discontinuous mappings f in a Banach space X. The main tools of analysis are the variational characterizations of the metric projection operat... We discuss Ky Fan's theorem and the variational inequality problem for discontinuous mappings f in a Banach space X. The main tools of analysis are the variational characterizations of the metric projection operator and the order-theoretic fixed point theory. Moreover, we derive some properties of the metric projection operator in Banach spaces. As applications of our best approximation theorems, three fixed point theorems for non-self maps are established and proved under some conditions. Our results are generalizations and improvements of various recent results obtained by many authors. 展开更多
关键词 best approximation theorem variational inequality discontinuous map Ky Fan’s theorem fixed point Banach spaces
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AN APPLICATION OF A FIXED POINT THEOREM TO BEST SIMULTANEOUS APPROXIMATION
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作者 Isinat Beg Naseer Shahzad 《Analysis in Theory and Applications》 1994年第3期1-4,共4页
Using a recent result regarding the fixed points of multivalued mappings, the existence of invariant best simultaneous approximation in chainable metric space is proved.
关键词 AN APPLICATION OF A FIXED POINT THEOREM TO best SIMULTANEOUS approximation
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CHARACTERIZATION THEOREM OF GENERALIZED POLYNOMIAL OF BEST APPROXIMATION HAVING BOUNDED COEFFICIENTS
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作者 许树声 《Acta Mathematicae Applicatae Sinica》 SCIE CSCD 1989年第4期361-366,共6页
Let the set of generalized polynomials having bounded coeffiicients be K={p=sum from j=1 to n α_j g_j α_j≤α_j≤β,j=1, 2,…, n}, where g_1, g_2,…, g_n are linearly independent continuous functions defined on thei... Let the set of generalized polynomials having bounded coeffiicients be K={p=sum from j=1 to n α_j g_j α_j≤α_j≤β,j=1, 2,…, n}, where g_1, g_2,…, g_n are linearly independent continuous functions defined on theinterval [a,b], α_j β_j are extended real numbers satisfying α_j<+∞, β_j>? andα_j≤β_j. Assumethat f is a continuous function defined on a compact set X [a, b]. This paper gives the characterizationtheorem for p being the best uniform approximation to f from K, and points out that the characteri-zation theorem can be applied in calculating the approximate solution of best approximation to f fromK. 展开更多
关键词 CHARACTERIZATION THEOREM OF GENERALIZED POLYNOMIAL OF best approximation HAVING BOUNDED COEFFICIENTS
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