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 Advances in Fixed Point Theory   [5 followers]  Follow       Open Access journal    ISSN (Print) 1927-6303    Published by Science and Knowledge Publishing Corporation Limited  [5 journals]
• Convergence results for two asymptotically quasi-I-nonexpansive mappings
and equilibrium problem in Banach spaces

• Authors: Vinod Kumar Sahu
Abstract: In this article, we consider an implicit iterative scheme for two asymptotically quasi-I-nonexpansive mappings T1, T2 and two asymptotically quasi-nonexpansive mapping I1, I2 in Banach spaces. We prove weak and strong convergence results for considered iteration to common fixed point of such mappings. Our main results improve and compliment some known results.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• Fixed points of nonself total asymptotically nonexpansive mappings in
hyperbolic spaces

• Authors: Yogesh Kumar Sahu, Samir Dashputre
Abstract: In this paper, we approximate fixed points of nonself $(\{\mu_{n}\} , \{v_{n}\}, \zeta)-$ total asymptotically nonexpansive mappings via new iterative scheme and establish strong and $\Delta-$convergence theorems in the setup of uniformly convex hyperbolic spaces. Our results presented in the paper extend and improve some recent results announced in the current literature.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• Fixed point theorems for generalized weakly contractive mappings in
quasi-metric space

• Authors: Hamza Saffaj, Karim Chaira, Mohamed Aamri, El Miloudi Marhrani
Abstract: In this paper we establish a fixed point result of generalized weakly contractive mapping and generalized altering distance on a complete quasi-metric space. We support our results by an examples.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• Results on cyclic φ-weak contractions in fuzzy metric spaces

• Authors: M. T. Shirude, C. T. Aage
Abstract: We develop the fixed point theorems for φ-weak contractions in fuzzy metric spaces. We also define ψ-weak contractive condition and establish the fixed point in G-complete fuzzy metric spaces.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• The class Φα of auxiliary functions and fixed point in G-metric
space

• Authors: T. Phaneendra, S. Saravanan
Abstract: Some generalizations of the fixed point theorems of Mohanta [1], Mustafa and Sims [2] and of Vats et al [7] are proved, under a new class Φ α of auxiliary functions. Also, G-contractive fixed points are obtained for some contraction type conditions.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• Fixed points of generalized contraction maps in metric spaces

• Authors: G. V. R. Babu, T. M. Dula
Abstract: In this paper, we introduce a new class Ψ1 of functions which are different from Ψ introduced by Hussain, Parvaneh, Samet and Vetro [9]. We define JS - Ψ1 - contraction for a single selfmap and prove the existence of fixed points. Also, we extend JS - Ψ1 - contraction to a pair of selfmaps and prove the existence of coincidence points and prove the existence of common fixed points by assuming the weakly compatible property. Further, we study the existence of common fixed points for a pair of weakly compatible selfmaps satisfying property (E. A). Examples are provided to illustrate our results.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• Common fixed point theorems satisfying a new type of weak contraction
condition on a Saks space

• Authors: P. P. Murthyand, Uma Devi Patel
Abstract: The main purpose of this paper is to establish some common fixed point theorems in saks spaces under C- class contraction condition for two pairs of discontinuous weak compatible maps. The proved results generalize and extend some of the known results in the literature.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• Fixed point theorems under F-contraction in ultrametric space

• Authors: _ Giniswamy, C. Jeyanthi, P. G. Maheshwari
Abstract: In this paper, we establish some results on coincidence and common fixed points for a single-valued map, a pair of single-valued maps and of single-valued map with a multi-valued map in an Ultrametric space which satisfy F-contraction. Our theorems generalize and extent the theorems of Mishra and Pant [Generalization of some fixed point theorems in ultrametric spaces, Adv. Fixed Point Theory, 4(1)(2014), 41- 47], thereby generalizes some known results in the existing literature.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• Common fixed point theorems of multivalued mappings

• Authors: A.K. Dubey, Manjula Tripathi
Abstract: In the present paper, we prove the existence of the common fixed point for multivalued maps in cone metric spaces. Our results generalize some recent results in the literature.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

• Common fixed point results in intuitionistic fuzzy metric spaces under
nonlinear type contractions

• Authors: Manoj Ughade, R. D. Daheriya, Rashmi Jain
Abstract: In this paper, we establish some new common fixed point theorems for a class of nonlinear contractions in intuitionistic fuzzy metric spaces.
PubDate: 2016-12-25
Issue No: Vol. 7 (2016)

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