Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 16 (2021), 127 -- 135

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FIXED POINT THEOREMS FOR SOME GENERALIZED CONTRACTIVE MAPPINGS OVER A LOCALLY CONVEX TOPOLOGICAL VECTOR SPACE

Sayantan Panja, Abhoy Pada Baisnab and Mantu Saha

Abstract. In this paper we prove some useful fixed point theorems and common fixed point theorems for a class of non-linear mappings acting on locally convex topological vector space with supporting examples.

2020 Mathematics Subject Classification: Primary 47H10; Secondary 54H25.
Keywords: fixed point; Chatterjea type contractive mapping; locally convex topological vector space.

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Sayantan Panja
Department of Mathematics,
The University of Burdwan,Purba Bardhaman-713104, West Bengal, India.
e-mail: spanja1729@gmail.com



Abhoy Pada Baisnab
PG Section, Department of Mathematics,
Lady Brabourne College, P1/2 Suhrawardy Avenue, Kolkata-700017, West Bengal, India.
e-mail: baisnababhoypada@yahoo.com



Mantu Saha
Department of Mathematics,
The University of Burdwan,Purba Bardhaman-713104, West Bengal, India.
e-mail: mantusaha.bu@gmail.com

http://www.utgjiu.ro/math/sma