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On some generalized contraction type mappings

โœ Scribed by Adriana Nicolae

Book ID
104000772
Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
345 KB
Volume
23
Category
Article
ISSN
0893-9659

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โœฆ Synopsis

This paper presents some local results of a fixed point theorem proved by Walter [W. Walter, Remarks on a paper by F. Browder, about contractions, Nonlinear Anal. 5 (1981) 21-25]. We also give a negative answer to an open question in connection with this theorem raised by Kirk and Saliga [W.A. Kirk, L.M. Saliga, Some results on existence and approximation in metric fixed point theory, J. Comput. Appl. Math. 113 (2000) 141-152]. At the same time we formulate additional conditions that provide an affirmative answer to this problem.

๐Ÿ“œ SIMILAR VOLUMES

Contraction Type Mappings on a 2-Metric
Contraction Type Mappings on a 2-Metric Space
โœ B. E. Rhoades ๐Ÿ“‚ Article ๐Ÿ“… 1979 ๐Ÿ› John Wiley and Sons ๐ŸŒ English โš– 235 KB

The concept of a 2-metric space hw been investigated by 5. G~ELER in a seriea of papers [6]-[S]. Other papers dealing with 2-metric spaces are [3]-[S], [lo], and [ 123. In this note several fixed point theorems a m proved for contractive mappings in a 2-metric space. The contradive definitions used