Generalized α-ψ Contractive Type Mappings and Related Fixed Point Theorems with Applications

We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obta...

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Bibliographic Details
Published inAbstract and Applied Analysis Vol. 2012; no. 1; pp. 379 - 395-625
Main Authors Karapınar, Erdal, Samet, Bessem
Format Journal Article
LanguageEnglish
Published Hindawi Limiteds 01.01.2012
Hindawi Publishing Corporation
Subjects
Fixed points (mathematics)
Mapping
Metric space
Theorems
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Summary:We establish fixed point theorems for a new class of contractive mappings. As consequences of our main results, we obtain fixed point theorems on metric spaces endowed with a partial order and fixed point theorems for cyclic contractive mappings. Various examples are presented to illustrate our obtained results.
Bibliography:ObjectType-Article-1
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ISSN:1085-3375
1687-0409
DOI:10.1155/2012/793486