On convergent sequences and fixed point theorems inD-metric spaces | Zendy

S. V. R. Naidu | Zendy; K. P. R. Rao | Zendy; N. Srinivasa Rao | Zendy

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On convergent sequences and fixed point theorems inD-metric spaces

Author(s) -

S. V. R. Naidu,

K. P. R. Rao,

N. Srinivasa Rao

Publication year - 2005

Publication title -

international journal of mathematics and mathematical sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.21

H-Index - 39

eISSN - 1687-0425

pISSN - 0161-1712

DOI - 10.1155/ijmms.2005.1969

Subject(s) - mathematics , metric space , metric (unit) , sequence (biology) , algorithm , discrete mathematics , combinatorics , operations management , biology , economics , genetics

Examples of complete D-metric spaces are given in which every convergentsequence has at most two limits and in which there are convergentsequences with exactly two limits. Also an example of a completeD-metric space having a convergent sequence with infinitely manylimits is given and, using the example, several fixed pointtheorems in D-metric spaces are shown to be false. Modificationsof some of these theorems and their generalizations are obtainedeither by imposing restrictions on the number of limits of certainconvergent sequences in the space or by assuming the sequentialcontinuity of the D-metric in any two variables and the theoremsso obtained are illustrated by means of examples

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