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Mathematical Communications, Vol. 13 No. 1, 2008.

Original scientific paper

Common fixed points and best approximants in nonconvex domain

Hemant Kumar Nashine ; Department of Mathematics, Disha Institute of ManagemeTechnology, Satya Vihar, Gyanganga-Chandrakhuri Marg, Mandir Hasaud, Distt. Raipur - 492101(Chhattisgarnt), India
Ritu Shrivastava ; Department of Mathematics, Disha Institute of ManagemeTechnology, Satya Vihar, Gyanganga-Chandrakhuri Marg, Mandir Hasaud, Distt. Raipur - 492101(Chhattisgarnt), India

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Abstract

The aim of the paper is to show the validity of results of Imdad [7] in a domain which is not necessarily starshaped and mappings are not necessarily linear. Our results also improve, extend and generalize various existing known results in the literature.

Keywords

best approximant; fixed point; compatible pair; contractive jointly continuous family; starshaped subset

Hrčak ID:

23561

URI

https://hrcak.srce.hr/23561

Publication date:

28.5.2008.

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