Recent trends in fixed point theorems and applications
AuthorMurthy, P. P.
MetadataShow full item record
CitationMurthy, P. P. (2009). Recent trends in fixed point theorems and applications. Maltepe Üniversitesi. s. 320.
In this talk, I will start form the results of fixed point theory and applications after the remarkable fixed point theorem due to Banach(Surles operations dans les ensembles abstraits et leur applications anx equations integrables, Fund. Math. 3(1922), 131 - 181 ) , Kannan(Some results on fixed points, Bull. Cal. Mth. Soc. 60(1968), 71 - 76 ), Edelstein( An extension of Banach’s contraction principle, Proc. Amer. Math. Soc. 12(1961), 7 - 10) , Boyd and Wong’s( On non-linear contractins, Proc. Amer. Math. Soc. 20(1969), 458 - 464), Ciric’s( Generalized contractions and fixed point theorems, Publ. Inst. Math. 12(26)(1971), 19 - 26), Das and Naik’s( Common Fixed Point theorems for commuting maps on a metric space, Proc. Amer. Math. Soc. 77(1979), 369 - 373) Fixed Point Theorems many types of results appeared in the literature of Fixed Point Theory and Applications. In this talk, I would like to discuss some TOOLS and their importance for obtaining fixed points . Some applications also discussed in the field of Dynamic Problems, Integral Equations, etc. Very recently the concept of Cone Metric Space introduced by Haung and Zhang(Cone metric spaces and fixed point theorems of contractive mappings, J. Math.Anal. Appl. 332(2007), 1468 - 1476 ) and proved some common fixed point theorems in this space. We shall discuss in detail about this space and few results in this line by generalizing some results of metric fixed point theorems.
SourceInternational Conference of Mathematical Sciences
- Makale Koleksiyonu 
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