http://www.fixedpointtheoryandapplications.com The most accessed research articles published by Fixed Point Theory and Applications 2012-05-08T00:00:00Z The purpose of this paper is to show that some recent fixed point theorems are particular results of previous existing theorems in the literature. http://www.fixedpointtheoryandapplications.com/content/2012/1/76 Hassen Aydi Erdal Karapinar Bessem Samet Fixed Point Theory and Applications 2012, null:76 2012-05-08T00:00:00Z doi:10.1186/1687-1812-2012-76 /content/figures/1687-1812-2012-76-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 76 2012-05-08T00:00:00Z PDF In this article, we first give a multivalued version of an iteration scheme of Agarwal et al. We use an idea due to Shahzad and Zegeye which removes a "strong condition" on the mapping involved in the iteration scheme and an observation by Song and Cho about the set of fixed points of that mapping. In this way, we approximate fixed points of a multivalued nonexpansive mapping through an iteration scheme which is independent of but faster than Ishikawa scheme used both by Song and Cho, and Shahzad and Zegeye. Thus our results improve and unify corresponding results in the contemporary literature. http://www.fixedpointtheoryandapplications.com/content/2012/1/73 Safeer Khan Isa Yildirim Fixed Point Theory and Applications 2012, null:73 2012-05-02T00:00:00Z doi:10.1186/1687-1812-2012-73 /content/figures/1687-1812-2012-73-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 73 2012-05-02T00:00:00Z PDF In this article, we introduce a new iterative scheme for finding a common element of the set of fixed points of a continuous pseudo-contractive mapping and the solution set of a variational inequality problem governed by continuous monotone mappings. Strong convergence for the proposed iterative scheme is proved. Our results improve and extend some recent results in the literature. http://www.fixedpointtheoryandapplications.com/content/2012/1/67 Tanom Chamnarnpan Poom Kumam Fixed Point Theory and Applications 2012, null:67 2012-04-24T00:00:00Z doi:10.1186/1687-1812-2012-67 /content/figures/1687-1812-2012-67-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 67 2012-04-24T00:00:00Z PDF Using the concept of u-distance, we prove a fixed point theorem formultivalued contractive maps. We also establish multivalued version of theCaristi's fixed point theorem and common fixed point result.Consequently, several known fixed point results are either improved orgeneralized including the corresponding fixed point results of Caristi,Mizoguchi-Takahashi, Kada et al., Suzuki-Takahashi, Suzuki, and Ume http://www.fixedpointtheoryandapplications.com/content/2012/1/61 Buthinah BinDehaish Abdul Latif Fixed Point Theory and Applications 2012, null:61 2012-04-17T00:00:00Z doi:10.1186/1687-1812-2012-61 /content/figures/1687-1812-2012-61-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 61 2012-04-17T00:00:00Z PDF This article is concerned with coupled coincidence points and common fixed points for two mappings in metric spaces and cone metric spaces. We first establish a coupled coincidence point theorem for two mappings and a common fixed point theorem for two w-compatible mappings in metric spaces. Then, by using a scalarization method, we extend our main theorems to cone metric spaces. Our results generalize and complement several earlier results in the literature. Especially, our main results complement a very recent result due to Abbas et al. http://www.fixedpointtheoryandapplications.com/content/2012/1/66 Wei Long Billy Rhoades Miloje Rajovic Fixed Point Theory and Applications 2012, null:66 2012-04-23T00:00:00Z doi:10.1186/1687-1812-2012-66 /content/figures/1687-1812-2012-66-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 66 2012-04-23T00:00:00Z PDF The purpose of this article is to present some fixed point theorems for (psi, phi)-weak contractive mappings in a complete metric space endowed with a partial order. As an application of the main result, we give an existence theorem for the solution of a periodic boundary value problem. http://www.fixedpointtheoryandapplications.com/content/2012/1/62 Madjid Eshaghi Gordji Hamid Baghani Gwang Hui Kim Fixed Point Theory and Applications 2012, null:62 2012-04-18T00:00:00Z doi:10.1186/1687-1812-2012-62 /content/figures/1687-1812-2012-62-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 62 2012-04-18T00:00:00Z PDF In this article, we introduce the concept of nonself uniformly quasi-Lipschitzian mapping and consider a new iterative scheme with errors to converge to a common fixed point for a finite family of nonself uniformly quasi-Lipschitzian mappings in Banach spaces. The results of this article improve and extend many known results. http://www.fixedpointtheoryandapplications.com/content/2012/1/72 Chao Wang Jin Li Liang-gen Hu Fixed Point Theory and Applications 2012, null:72 2012-05-02T00:00:00Z doi:10.1186/1687-1812-2012-72 /content/figures/1687-1812-2012-72-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 72 2012-05-02T00:00:00Z PDF In this article, by virtue of the Kakutani-Fan-Glicksberg fixed point theorem, two types of Ky Fan minimax inequalities for set-valued mappings are obtained. Some examples are given to illustrate our results. http://www.fixedpointtheoryandapplications.com/content/2012/1/64 Yu Zhang Sheng-Jie Li Fixed Point Theory and Applications 2012, null:64 2012-04-19T00:00:00Z doi:10.1186/1687-1812-2012-64 /content/figures/1687-1812-2012-64-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 64 2012-04-19T00:00:00Z PDF No description available http://www.fixedpointtheoryandapplications.com/content/2012/1/74 Madjid Eshaghi Gordji Maryam Ramezani Yeol Je Cho Saeideh Pirbavafa Fixed Point Theory and Applications 2012, null:74 2012-05-04T00:00:00Z doi:10.1186/1687-1812-2012-74 /content/figures/1687-1812-2012-74-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 74 2012-05-04T00:00:00Z PDF No description available http://www.fixedpointtheoryandapplications.com/content/2012/1/63 Jinfang Tang Shih-sen Chang Fixed Point Theory and Applications 2012, null:63 2012-04-19T00:00:00Z doi:10.1186/1687-1812-2012-63 /content/figures/1687-1812-2012-63-toc.gif Fixed Point Theory and Applications 1687-1812 ${item.volume} 63 2012-04-19T00:00:00Z PDF