The Experts below are selected from a list of 21393 Experts worldwide ranked by ideXlab platform
Nawab Hussain - One of the best experts on this subject based on the ideXlab platform.
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Common Fixed Point and invariant approximation results for gregus type i contractions
Numerical Functional Analysis and Optimization, 2007Co-Authors: Nawab Hussain, B E Rhoades, G JungckAbstract:A Fixed Point theorem of Ciric, Diviccaro et al., Fisher and Sessa, Gregus, Jungck, and Mukherjee and Verma is generalized to weakly compatible maps. As applications, Common Fixed Point and approximation results for Gregus type I-contractions are obtained. Our results unify and generalize various known results to the more general classes of noncommuting mappings.
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Common Fixed Point and invariant approximation results for noncommuting generalized f g nonexpansive maps
Journal of Mathematical Analysis and Applications, 2006Co-Authors: Nawab Hussain, G JungckAbstract:We present Common Fixed Point results for noncommuting generalized (f, g)-nonexpansive maps. As application, invariant approximation results are obtained. Our results unify, and generalize various known results existing in the literature.
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Common Fixed Point and invariant approximation results in certain metrizable topological vector spaces
Fixed Point Theory and Applications, 2006Co-Authors: Nawab Hussain, Vasile BerindeAbstract:We obtain Common Fixed Point results for generalized Open image in new window -nonexpansive Open image in new window -subweakly commuting maps on nonstarshaped domain. As applications, we establish noncommutative versions of various best approximation results for this class of maps in certain metrizable topological vector spaces.
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Common Fixed Point results in best approximation theory
Applied Mathematics Letters, 2003Co-Authors: Nawab Hussain, Abdul Rahim KhanAbstract:A Common Fixed-Point generalization of the results of Dotson, Tarafdar, and Taylor is obtained which in turn extends a recent theorem by Jungck and Sessa to locally convex spaces. As applications of our work, we improve and unify well-known results on Fixed Points and Common Fixed Points of best approximation.
Lin Wang - One of the best experts on this subject based on the ideXlab platform.
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the strong convergence theorems for split Common Fixed Point problem of asymptotically nonexpansive mappings in hilbert spaces
Journal of Inequalities and Applications, 2015Co-Authors: Xinfang Zhang, Lin Wang, Zhao LiAbstract:In this paper, an iterative algorithm is introduced to solve the split Common Fixed Point problem for asymptotically nonexpansive mappings in Hilbert spaces. The iterative algorithm presented in this paper is shown to possess strong convergence for the split Common Fixed Point problem of asymptotically nonexpansive mappings although the mappings do not have semi-compactness. Our results improve and develop previous methods for solving the split Common Fixed Point problem.
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Common Fixed Point results under a new contractive condition without using continuity
Journal of Inequalities and Applications, 2014Co-Authors: Yunjuan Shen, Lin WangAbstract:In this paper, using the concept of the Common property, we prove a Common Fixed Point theorem for a class of twice power type weakly compatible mappings in generalized metric space. Our results do not rely on any commuting or continuity condition of the mappings. We also state some examples to illustrate our new results in symmetric and nonsymmetric generalized metric spaces. It should be Pointed out that this is the first time to use Common properties to discuss Common Fixed Point problems of contractive mappings for twice power type in generalized metric spaces.
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the split Common Fixed Point problem for quasi total asymptotically nonexpansive uniformly lipschitzian mappings
Abstract and Applied Analysis, 2012Co-Authors: Lin WangAbstract:We introduce an algorithm for solving the split Common Fixed Point problem for quasi-total asymptotically nonexpansive uniformly Lipschitzian mapping in Hilbert spaces. The results presented in this paper improve and extend some recent corresponding results.
Vasile Berinde - One of the best experts on this subject based on the ideXlab platform.
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a Common Fixed Point theorem for compatible quasi contractive self mappings in metric spaces
Applied Mathematics and Computation, 2009Co-Authors: Vasile BerindeAbstract:A Common Fixed Point theorem for weakly commuting quasi contractive self mappings with contracting orbital diameters in metric spaces [V. Berinde, A Common Fixed Point theorem for quasi contractive type mappings, Ann. Univ. Sci. Budapest. 46 (2003) 81-90] is extended to the more general class of compatible quasi contractive self mappings. Our result does extend and generalize numerous related results in literature.
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Common Fixed Point and invariant approximation results in certain metrizable topological vector spaces
Fixed Point Theory and Applications, 2006Co-Authors: Nawab Hussain, Vasile BerindeAbstract:We obtain Common Fixed Point results for generalized Open image in new window -nonexpansive Open image in new window -subweakly commuting maps on nonstarshaped domain. As applications, we establish noncommutative versions of various best approximation results for this class of maps in certain metrizable topological vector spaces.
Mohammad Imdad - One of the best experts on this subject based on the ideXlab platform.
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Common Fixed Point results for alpha α admissible mappings via simulation function
The Journal of Analysis, 2017Co-Authors: Rqeeb Gubran, Waleed M Alfaqih, Mohammad ImdadAbstract:In 2015, Khojasteh et al. (Filomat 29(6):1189–1194, 2015) introduced the class of simulation functions and utilized the same to unify several Fixed Point results of the existing literature. Very recently, Karapinar (Filomat 30(8):2343–2350, 2016) enlarged this class to cover $$\alpha $$ -admissible contractions. Motivated by aforementioned articles, we establish Common Fixed Point results for $$\alpha $$ -admissible mappings satisfying a nonlinear contraction condition under simulation function.
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existence and uniqueness of a Common Fixed Point under a limit contractive condition
Journal of Inequalities and Applications, 2013Co-Authors: Mohammad Imdad, Sunny Chauhan, Muhammad Alamgir KhanAbstract:In this paper, utilizing the notion of Common limit range property for two pairs of self mappings, we prove Common Fixed Point theorems in fuzzy metric spaces under a limit contractive condition, which improve and extend the results of Zhu et al. [Common Fixed Point theorems of new contractive conditions in fuzzy metric spaces, J. Appl. Math. 2013:145190, 2013]. We also give some examples to demonstrate the validity of the hypotheses of our results. As an application to our main result, we obtain a Fixed Point theorem for four finite families of self mappings in fuzzy metric space.
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jungck s Common Fixed Point theorem and e a property
Acta Mathematica Sinica, 2008Co-Authors: Mohammad Imdad, Javid AliAbstract:We prove that (E.A) property buys the required containment of range of one mapping into the range of other in Common Fixed Point considerations up to a pair of mappings. While proving our results, we utilize the idea of implicit functions due to Popa, keeping in view their unifying power.
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some Common Fixed Point theorems for mappings and multi valued mappings
Journal of Mathematical Analysis and Applications, 1998Co-Authors: Aqeel Ahmad, Mohammad ImdadAbstract:Using certain weak conditions of commutativity we prove some Common Fixed Point theorems in complete metrically convex spaces which, in turn, generalize results due to Assad and Kirk, Itoh, Khan, and several others.
Rakesh Tiwari - One of the best experts on this subject based on the ideXlab platform.
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Common Fixed Point theorems of quadruple mappings satisfying clr property in g_p metric spaces with applications
Communications in Mathematics and Applications, 2020Co-Authors: Rakesh Tiwari, S K Srivastava, Shashi ThakurAbstract:The aim of this paper is to establish Common Fixed Point theorems for quadruple of weakly compatible mappings satisfying a new type of Common limit range property and involving almost altering distances in \(G_p\) metric space. Furthermore, we present an example to validate our main result. Further, we obtain some Common Fixed Point theorems for mappings satisfying contractive conditions of integral type and for \(\varphi\)-contractive mappings.
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a Common Fixed Point theorem for weakly compatible mappings in symmetric spaces satisfying an integral type contractive condition
Hacettepe Journal of Mathematics and Statistics, 2010Co-Authors: Rakesh Tiwari, S K Shrivastava, V K PathakAbstract:In this note a Common Fixed Point theorem for weakly compatible map- pings satisfying a contractive condition of integral type and the Common (E.A) property is established in symmetric spaces. This theorem gen- eralizes and improves results of M. Aamri and D. El Moutawakil (Com- mon Fixed Points under contractive conditions in symmetric spaces, Applied Mathematics E-notes 3, 156-162, 2003; Some new Common Fixed Point theorems under strict contractive conditions, J. Math. Anal. Appl. 270, 181-188, 2002) and Abdelkrim Aliouche (A Common Fixed Point theorem for weakly compatible mappings in symmetric spaces sat- isfying a contractive condition of integral type, J. Math. Anal. Appl. 322(2), 796-802, 2006).
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A Common Fixed Point theorem and its application to nonlinear integral equations
Computers & Mathematics with Applications, 2007Co-Authors: Hemant Kumar Pathak, Mohammad Saeed Khan, Rakesh TiwariAbstract:In this paper, we prove a Common Fixed Point theorem for a pair of weakly compatible mappings. The result is applied to prove the existence of solution of system of nonlinear integral equations. Our theorems extend and improve several known results.
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a Common Fixed Point theorem satisfying integral type implicit relations
Applied Mathematics E - Notes, 2007Co-Authors: Hemant Kumar Pathak, Rakesh Tiwari, Mohammad Saeed KhanAbstract:In this note, a general Common Fixed Point theorem of integral type for two pairs of weakly compatible mappings satisfying integral type implicit relations is obtained in symmetric spaces by using the notion of a pair of mappings satisfying property (E.A). Our main result improves and extends several known results.
