The Experts below are selected from a list of 15759 Experts worldwide ranked by ideXlab platform
Calogero Vetro - One of the best experts on this subject based on the ideXlab platform.
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Some fixed point theorems for generalized Contractive mappings in complete metric spaces
Fixed Point Theory and Applications, 2015Co-Authors: Nawab Hussain, Bessem Samet, Vahid Parvaneh, Calogero VetroAbstract:We introduce new concepts of generalized Contractive and generalized α-Suzuki type Contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ciric, Chatterjea, Kannan and Reich.
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some new fixed point theorems in menger pm spaces with application to volterra type integral equation
Applied Mathematics and Computation, 2014Co-Authors: Dhananjay Gopal, Mujahid Abbas, Calogero VetroAbstract:Abstract We establish some fixed point theorems by introducing two new classes of Contractive mappings in Menger PM-spaces. First, we prove our results for an α - ψ -type Contractive mapping and then for a generalized β -type Contractive mapping. Some examples and an application to Volterra type integral equation are given to support the obtained results.
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common fixed point theorems for weakly compatible maps satisfying a general Contractive condition
International Journal of Mathematics and Mathematical Sciences, 2008Co-Authors: Cristina Di Bari, Calogero VetroAbstract:We introduce a new generalized Contractive condition for four mappings in the framework of metric space. We give some common fixed point results for these mappings and we deduce a fixed point result for weakly compatible mappings satisfying a Contractive condition of integral type.
Bessem Samet - One of the best experts on this subject based on the ideXlab platform.
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Some fixed point theorems for generalized Contractive mappings in complete metric spaces
Fixed Point Theory and Applications, 2015Co-Authors: Nawab Hussain, Bessem Samet, Vahid Parvaneh, Calogero VetroAbstract:We introduce new concepts of generalized Contractive and generalized α-Suzuki type Contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ciric, Chatterjea, Kannan and Reich.
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generalized Contractive type mappings and related fixed point theorems with applications
Abstract and Applied Analysis, 2012Co-Authors: Erdal Karapinar, Bessem SametAbstract: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.
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fixed point theorems on a metric space endowed with an arbitrary binary relation and applications
Communications in Mathematical Analysis, 2012Co-Authors: Bessem Samet, M TuriniciAbstract:In this paper, we establish fixed point theorems for Contractive mappings on a metric space endowed with an amorphous binary relation. The presented theorems extend and generalize many existing results on metric and ordered metric spaces. We apply also our main result to derive fixed point theorems for cyclical Contractive mappings.
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on ψ φ weakly Contractive condition in partially ordered metric spaces
Computers & Mathematics With Applications, 2011Co-Authors: Wasfi Shatanawi, Bessem SametAbstract:Recently, Heman Kumar Nashine and Bessem Samet [H.K. Nashine, B. Samet, Fixed point results for mappings satisfying (@j,@f)-weakly Contractive condition in partially ordered metric spaces, Nonlinear Anal. 74 (2011) 2201-2209] studied some coincidence fixed point and common fixed point theorems for two mappings satisfying (@j,@f)-weakly Contractive condition in an ordered complete metric space. In the present paper, we study some coincidence fixed point and common fixed point theorems for three mappings S,T and R satisfying (@j,@f)-weakly Contractive condition in an ordered complete metric space, where the mappings S and T are assumed to be weakly increasing with respect to R. Our results generalize several well-known results in the literature.
Naseer Shahzad - One of the best experts on this subject based on the ideXlab platform.
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on fixed points of α ψ Contractive multifunctions
Fixed Point Theory and Applications, 2012Co-Authors: Hasanzade J Asl, Shahram Rezapour, Naseer ShahzadAbstract:Recently Samet, Vetro and Vetro introduced the notion of α-ψ-Contractive type mappings and established some fixed point theorems in complete metric spaces. In this paper, we introduce the notion of -Contractive multifunctions and give a fixed point result for these multifunctions. We also obtain a fixed point result for self-maps in complete metric spaces satisfying a Contractive condition.
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on fixed point theory in partial metric spaces
Fixed Point Theory and Applications, 2012Co-Authors: Maryam A Alghamdi, Naseer Shahzad, Oscar ValeroAbstract:In this paper, we continue the study of Contractive conditions for mappings in complete partial metric spaces. Concretely, we present fixed point results for weakly Contractive and weakly Kannan mappings in such a way that the classical metric counterpart results are retrieved as a particular case. Special attention to the cyclical case is paid. Moreover, the well-posedness of the fixed point problem associated to weakly (cyclic) Contractive and weakly (cyclic) Kannan mappings is discussed, and it is shown that these Contractive mappings are both good Picard operators and special good Picard operators.
Nawab Hussain - One of the best experts on this subject based on the ideXlab platform.
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Some fixed point theorems for generalized Contractive mappings in complete metric spaces
Fixed Point Theory and Applications, 2015Co-Authors: Nawab Hussain, Bessem Samet, Vahid Parvaneh, Calogero VetroAbstract:We introduce new concepts of generalized Contractive and generalized α-Suzuki type Contractive mappings. Then, we obtain sufficient conditions for the existence of a fixed point of these classes of mappings on complete metric spaces and b-complete b-metric spaces. Our results extend the theorems of Ciric, Chatterjea, Kannan and Reich.
Oscar Valero - One of the best experts on this subject based on the ideXlab platform.
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on fixed point theory in partial metric spaces
Fixed Point Theory and Applications, 2012Co-Authors: Maryam A Alghamdi, Naseer Shahzad, Oscar ValeroAbstract:In this paper, we continue the study of Contractive conditions for mappings in complete partial metric spaces. Concretely, we present fixed point results for weakly Contractive and weakly Kannan mappings in such a way that the classical metric counterpart results are retrieved as a particular case. Special attention to the cyclical case is paid. Moreover, the well-posedness of the fixed point problem associated to weakly (cyclic) Contractive and weakly (cyclic) Kannan mappings is discussed, and it is shown that these Contractive mappings are both good Picard operators and special good Picard operators.