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Common fixed point theorems of different compatible type mappings using Ciric's contraction type condition

G. V. R. Babu
Prasad K. N. V. V. Vara


Puni tekst: engleski pdf 156 Kb

str. 87-102

preuzimanja: 1.440

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Sažetak

The purpose of this paper is to establish necessary and sufficient conditions for the existence of common fixed points for a compatible
pair of selfmaps under Ciric's contraction type condition. These theorems improve and generalize the results of Mukherjee and Verma [11] and Jungck [9] to a pair of selfmaps. Also established the existence of common fixed points for a pair of compatible mappings of type (B), and obtain a result on the existence of common
fixed points for a pair of compatible mappings of type (A) as corollary. Greguš fixed point theorem follows as a special case to our results.

Ključne riječi

compatible mappings; compatible mappings of type (A); compatible mappings of type (B); common fixed point; linear map; affine map; Banach space; Ciric's contraction type condition; reciprocal continuity

Hrčak ID:

4180

URI

https://hrcak.srce.hr/4180

Datum izdavanja:

20.7.2006.

Posjeta: 2.286 *