Equivalent Conditions and the Meir-Keeler Type Theorems
نویسندگان
چکیده
منابع مشابه
On common fixed point theorems of Meir and Keeler type
Two common fixed point results of Meir and Keeler type for four weakly compatible mappings are obtained which complement, improve and extend various previous ones existing in the literature especially the result of [2].
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The theory of fixed point is a very extensive field, which has various applications. The present paper deals with some developments of Meir-Keeler type fixed point theorem as its remarkable generalizations under several contractive definitions in metric space.
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Recommended by Sehie Park We prove that the recent fixed point theorem for contractions of integral type due to Branciari is a corollary of the famous Meir-Keeler fixed point theorem. We also prove that Meir-Keeler contractions of integral type are still Meir-Keeler contractions.
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n this paper, we prove some common fixed point theorems for multivalued mappings and we present some new generalization contractive conditions under the condition of weak compatibility. Our results extends Chang-Chen’s results as well as ´Ciri´c results. An example is given to support the usability of our results.
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Meir and Keeler in 1 considered an extension of the classical Banach contraction theorem on a complete metric space. Kirk et al. in 2 extended the Banach contraction theorem for a class of mappings satisfying cyclical contractive conditions. Eldred and Veeramani in 3 introduced the following definition. Let A and B be nonempty subsets of a metric space X. A map T : A ∪ B → A ∪ B, is a cyclic co...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1995
ISSN: 0022-247X
DOI: 10.1006/jmaa.1995.1299