Cyclic Contractions And Fixed Point Theorems In Banach Spaces

Document Type : Primary Research paper

Authors

1 Assistant Professor, PG & Research Department of Mathematics, Periyar E.V.R College (Affiliated to Bharathidasan University) Trichy,Tamilnadu,India.

2 Assistant Professor, Department of Mathematics, Kongu Art And Science College(Autonomous) Erode,Tamilnadu,India.

Abstract

In this manuscript we have proved the existence and uniqueness of some fixed
point theorems for the cyclic operators defined in a closed subset of a Banach Space. Fixed
point theorems for some contractions are introduced and given some examples.
2000 Mathematics Subject Classification: 47H10; 54H25; 34B15.

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