Fixed point theorems for multivalued contractive mappings and multivalued Caristi type mappings in cone metric spaces
نویسندگان
چکیده
منابع مشابه
Fixed-Point Theorems for Multivalued Mappings in Modular Metric Spaces
and Applied Analysis 3 iv A subsetC ofXω is said to be closed if the limit of a convergent sequence ofC always belongs to C. v A subset C of Xω is said to be bounded if, for all λ > 0, φλ C sup{ωλ x, y : x, y ∈ C} < ∞. Along this paper, we will use the following alternative notions of convergence and Cauchyness, which are equivalent to the notions given above. Let Xω be a modular metric space a...
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Let P be a sub set of Banach space E and P is normal and regular cone on E; we generalize and obtain some sufficient conditions for the existence of common fixed point of multivalued mappings satisfying contractive type conditions in cone metric spaces. Our results unify, generalize and complement the comparable results from the current literature.
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In this paper, we prove some multivalued Caristi type fixed point theorems. These results generalize the corresponding generalized Caristi’s fixed point theorems due to Kada-Suzuki-Takahashi (1996), Bae (2003), Suzuki (2005), Khamsi (2008) and others. 2000 Mathematics Subject Classification: 47H09, 54H25.
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ژورنال
عنوان ژورنال: Fixed Point Theory and Applications
سال: 2012
ISSN: 1687-1812
DOI: 10.1186/1687-1812-2012-133