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作者:P. Christopher Staecker
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.149-159SCIK
摘要:We give new axioms for the Lefschetz number based on Hadwiger’s characterization of the Euler characteristic as the unique lattice valuation on polyhedra which takes value 1 on simplices. In the setting of maps on abstract simplicial complexes, we show that the Lefschetz num...
作者:Yizhuo Ma , Yubo Liu , Meimei Song
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.160-168SCIK
摘要:Huang and Zhang obtained some fixed point theorems in cone metric spaces. Abbas and Rhoades generalized those theorems and obtained common fixed points for mappings with normal cone conditions satisfying certain contractive conditions. In this paper, we prove some theorems by rem...
作者:Mahmoud Bousselsal , Sidi Hamidou Jah
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.169-183SCIK
摘要:In this paper, we prove some fixed point results for new weakly contractive maps in G− metric spaces. It is proved that these maps satisfy property P. The results obtained in this paper generalize several well known comparable results in the literature.
作者:Ching S. Hwang
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.184-198SCIK
摘要:In this article, we investigate the problem of finding a common element of the set of solutions of a variational problem and the set of common fixed points of an infinite family nonexpansive mappings based on a viscosity approximation algorithm in a Hilbert space.
作者:Emine Kilinc , Cihangir Alaca
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.199-206SCIK
摘要:In this paper, we define (ε,k)−uniformly locally contractive mappings and η-chainable concept and prove a fixed point theorem for these concepts in a complete modular metric spaces.
作者:Mohammad Hasan , Ramdan Sabra
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.207-228SCIK
摘要:In this paper, we introduce a new class of implicit functions and common property (E.A) in intuitionistic fuzzy metric spaces, and utilize both to prove common fixed point theorems in intuitionistic fuzzy metric spaces. Related results and an illustrative example are also provide...
作者:Changqun Wu
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.229-244SCIK
摘要:In this paper, we introduce a viscosity approximation method for solving common solutions of variational inequality and fixed point problems. Strong convergence theorems are established in the framework of Hilbert spaces.
作者:Surjeet Singh Tomar , Deepak Singh , M.S. Rathore
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.245-262SCIK
摘要:In this paper, we proved common fixed points for class of mappings using control functions and satisfying contractive conditions in G-metric spaces. We get some improved and extended versions of several fixed point theorems in complete G-metric spaces.
作者:Yuan Qing
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.263-279SCIK
摘要:In this paper, strictly pseudocontractive and monotone operators are investigated based on a viscosity splitting method. Strong convergence theorems for common solutions are established in the framework of Hilbert spaces.
作者:K. Ravi , J.M. Rassias , R. Jamuna
来源:[J].Advances in Fixed Point Theory, 2014, Vol.4 (2), pp.280-309SCIK
摘要:In this paper, using fixed point method we prove the generalized Hyers Ulam Rassias stability of the additive cubic functional equation f(x-ky)=k2[f(x+y)+ f(x-y)]+2(1- k2)f(x) for fixed integers k, with k≠0,±1 in paranormed spaces.

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