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Convergence of a Modified MultiStep Iterative Scheme for P Nearly Uniformly LLipschitzian Asymptotically Pseudocontrative Mappings
(International Journal of Analysis and Applications, 2014)In this paper, it is shown that the modified multistep iteration converges strongly to the common fixed point of a finite family of nearly uniformly L Lipschitzian asymptotically pseudo contractive mappings. The main ... 
The implicit midpoint rule of nonexpansive mappings and applications in uniformly smooth Banach spaces
(Journal of NonLinear Sciences and Application, 2018)Let K be a nonempty closed convex subset of a Banach space E and T : K ! K be a nonexpansive mapping. Using a viscosity approximation method, we study the implicit midpoint rule of a nonexpansive mapping T. We establish a ... 
Best proximity point results for Hardy–Rogers pproximal cyclic contraction in uniform spaces.
(Springer Open Journal, 2018)The Hardy–Rogers pproximal cyclic contraction, which includes the cyclic, Kannan, Chatterjea and Reich contractions as subclasses, is developed in uniform spaces. The existence and uniqueness results of best proximity ... 
Best Proximity Point Results for Some Contractive Mappings in Uniform Spaces
(Hindawi Publishing Corporation, 2017)We introduce the concept of 𝐽𝑎Vdistance (an analogue of 𝑏metric), 𝜙𝑝proximal contraction, and 𝜙𝑝proximal cyclic contraction for nonselfmappings in Hausdorff uniform spaces. We investigate the existence and ... 
On common fixed points and multipled fixed points of contractive mappings in metrictype spaces
(Journal of the Nigerian Mathematical Society, 20150617)This research work entails the study of the existence of common fixed points of some Ciric classes of contractive mappings in cone bmetric spaces. The main result obtained unifies, improves and generalizes several results ... 
An Approach to the Approximation of Common Coupled Fixed Points of Contractive Maps in MetricType Spaces
(Advanced Fixed Point Theory, 2015)In this research work, some results on the existence and approximation of common coupled fixed points of contractive maps in cone metric spaces are unified and generalized based on a new method 
Common Fixed Point Results for Occasionally Weakly Compatible Maps in GSymmetric Spaces
(Science Research, 2014)The notion of a Gsymmetric space is introduced and the common fixed points for some pairs of occasionally weakly compatible maps satisfying some contractive conditions in a Gsymmetric space are proved. The results extend ... 
Common Fixed Point Theorems for Pairs of Hybrid Maps in GSymmetric Spaces
(International Journal of Pure and Applied Mathematics, 2015)The existence of the common fixed points for some pairs of hybrid maps(i.e. singledvalued and setvalued maps) satisfying some generalized contractive conditions in Gsymmetric spaces are proved. The results extend and ... 
Quadruple Best Proximity Points of QCyclic Contraction Pair in Abstract Metric Spaces
(Asian Journal of Mathematics And Applications, 2015)We introduce the concepts of quadruple best proximity point and Qcyclic contraction pair and prove the existence and convergence of quadruple best proximity points in abstract metric spaces. The results are extension of ... 
Convergence Theorems for Asymptotically Pseudocontractive Mappings in the Intermediate Sense for the Modified Noor Iterative Scheme
(International Journal of Mathematical Modelling & Computations, 2015)We study the convergence of the modified Noor iterative scheme for the class of asymptotically pseudocontractive mappings in the intermediate sense which is not necessarily Lipschitzian. Our results improves, extends and ... 
Relative Fuzzy Set
(International Scientific publication and consulting services, 2018)We propose a fuzzy set of a set characterized by a growth membership function. The elements of the proposed fuzzy set are capable of growing in membership grade over any chosen variable/parameter of the measure chains. ... 
Common Fixed Points of a ThreeStep Iteration with errors of Asymptotically QuasiNonexpansive NonselfMappings in the Intermediate sense in Banach spaces
(F a s c i c u l i M a t h e m a t i c i, 2014)In this paper, we extend the results of Inprasit and Wattanataweekul [7] to the class of asymptotically quasinonexpansive nonselfmappings in the intermediate sense. We prove some strong convergence theorems for asymptotically ... 
Existence of Fixed Points of Certain Classes of Nonlinear Mappings
(International Journal of Mathematical Modelling & Computations, 2014)In this study, we introduce the classes of ϕstrongly pseudocontractive mappings in the intermediate sense and generalized Φpseudocontractive mappings in the intermediate sense and prove the existence of fixed points for ... 
Modified MultiStep Iterative Processes for a Finite Family of Asymptotically Pseudocontrative Maps
(HIKARI Ltd, 2014)Very recently, Mogbademu [6] answered in affirmative the open problem proposed in [9] by extending an iterative algorithm for two asymptotically pseudocontractive mappings to three mappings. He further asked if his results ... 
Fixed Points of Demicontinuous φNearly Lipschitzian Mappings in Banach Spaces
(Thai Journal of Mathematics, 2019)In this study, we introduce the classes of φnearly contraction mappings, φnearly nonexpansive mappings, φnearly asymptotically nonexpansive mappings, φnearly uniformly kLipschitzian mappings and φnearly uniform ... 
The Fixed Points of Certain Discontinuous Operator on Locally Convex Spaces
(Asian Network for Scientific Information, 2006)The fixed point properties of four classes of operators mapping a metrisable locally convex space into itself are considered. These classes include contraction, and nonexpansive mappings, discontinuous operators for certain ... 
An Extension of Gregus Fixed Point Theorem
(Hindawi Publishing Corporation, 2007)Let C be a closed convex subset of a complete metrizable topological vector space (X,d) and T : C → C a mapping that satisfies d(Tx,Ty) ≤ ad(x, y) + bd(x,Tx) + cd(y,Ty) +ed(y,Tx) + f d(x,Ty) for all x, y ∈ C, where 0 < a ... 
A comparison of Picard and Mann Iterations for QuasiContraction Maps
(Fixed Point Theory Journal, 2007)For a class of quasicontractive operators defined on an arbitrary Banach space, it has been shown that the Picard iteration technique converges faster than the Mann iteration technique. In this paper we make a comparison ... 
On Weighted Spaces Without a Fundamental Sequence of Bounded Sets
(Hindawi Publishing Corporation, 20020921)The problem of countably quasibarrelledness of weighted spaces of continuous functions, of which there are no results in the general setting of weighted spaces, is tackled in this paper. This leads to the study of ... 
Weighted locally convex spaces of measurable functions
(Revista Colombiana de Matematicas, 2004)In this paper, we make a study of weighted locally convex spaces of measurable functions parallel to the studies of weighted locally convex spaces of continuous functions which has been a subject of intense research for ...