Multi-Valued Ciric Contractions on Metric Spaces with Applications

作者：Hussain N^*; Yasmin N; Shafqat N

来源：Filomat, 2014, 28(9): 1953-1964.

DOI：10.2298/FIL1409953H

• Complete metric space
• Fixed point
• Hausdorff metric
• w-distance
• Banach operator pair

In this paper, using the concept of w-distance, we obtain fixed point results for multi-valued generalized w-contractive maps not involving the extended Hausdorf metric. Presented theorems are generalizations of recent fixed point theorems due to L. B. Ciric [Nonlinear Analysis 71 (2009), 2716-2723], D. Klim and D. Wardowski [J. Math. Anal. Appl. 334 (2007), 132-139], Y. Feng and S. Liu [J. Math. Anal. Appl. 317 (2006), 103-112], Latif and Abdou [Nonlinear Analysis 74 (2011), 1436-1444 and Fixed Point Theory and Appl., Volume 2009 (2009) Article ID 487161, 8 pp.] and several others. As an application of our results we establish common fixed point results for newly defined class of Banach operator pairs.

• 出版日期2014