Affiliation:
1. King Abdulaziz University, Department of Mathematics, Jeddah, Saudi Arabia
2. Bahauddin Zakariya University, Centre for Advanced Studies in Pure and Applied Mathematics, Multan, Pakistan
Abstract
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. Cric [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.
Publisher
National Library of Serbia
Cited by
4 articles.
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