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Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings  [cached]
Xiao Jian-Zhong,Zhu Xing-Hua
Fixed Point Theory and Applications , 2008,
Abstract: A family of commuting nonexpansive self-mappings, one of which is weakly contractive, are studied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to approximate a common fixed point. The error estimates of these iterations are also given.
Common Fixed Point Theorems on Weakly Contractive and Nonexpansive Mappings  [cached]
Jian-Zhong Xiao,Xing-Hua Zhu
Fixed Point Theory and Applications , 2008, DOI: 10.1155/2008/469357
Abstract: A family of commuting nonexpansive self-mappings, one of which is weakly contractive, are studied. Some convergence theorems are established for the iterations of types Krasnoselski-Mann, Kirk, and Ishikawa to approximate a common fixed point. The error estimates of these iterations are also given.
Fixed Point Theorems for Weakly Contractive Mappings in Partially Ordered Metric-Like Spaces
Huseyin ISIK and Duran TURKOGLU
Fixed Point Theory and Applications , 2013, DOI: 10.1186/1687-1812-2013-51
Abstract: In this article, we establish some fixed point theorems for weakly contractive mappings defined in ordered metric-like spaces. We provide an example and some applications in order to support the useability of our results. These results generalize some well-known results in the literature. We also derive some new fixed point results in ordered partial metric spaces.
Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type  [cached]
Mujahid Abbas,B. E. Rhoades
Fixed Point Theory and Applications , 2007, DOI: 10.1155/2007/54101
Abstract: We obtain several fixed point theorems for hybrid pairs of single-valued and multivalued occasionally weakly compatible maps defined on a symmetric space satisfying a contractive condition of integral type. The results of this paper essentially contain every theorem on hybrid and multivalued self-maps of a metric space as a special case.
Common Fixed Point Theorems for Hybrid Pairs of Occasionally Weakly Compatible Mappings Satisfying Generalized Contractive Condition of Integral Type  [cached]
Abbas Mujahid,Rhoades BE
Fixed Point Theory and Applications , 2007,
Abstract: We obtain several fixed point theorems for hybrid pairs of single-valued and multivalued occasionally weakly compatible maps defined on a symmetric space satisfying a contractive condition of integral type. The results of this paper essentially contain every theorem on hybrid and multivalued self-maps of a metric space as a special case. http:// Erratum http://dx.doi.org/10.1155/2008/274793
Some Common Fixed Point Theorems for Weakly Cf,g-contractive Mappings in Complete Metric Spaces
V. Parvaneh,H. Hosseinzadeh
Journal of Applied Sciences , 2012,
Abstract: The aim of this paper is to present some common fixed point theorems for Cf,g-contractions in a complete metric space. Finally, some results for contractions of integral type are given.
On Some Fixed Point Theorems for 1-Set Weakly Contractive Multi-Valued Mappings with Weakly Sequentially Closed Graph  [PDF]
Afif Ben Amar, Aneta Sikorska-Nowak
Advances in Pure Mathematics (APM) , 2011, DOI: 10.4236/apm.2011.14030
Abstract: In this paper we prove Leray-Schauder and Furi-Pera types fixed point theorems for a class of multi-valued mappings with weakly sequentially closed graph. Our results improve and extend previous results for weakly sequentially closed maps and are very important in applications, mainly for the investigating of boundary value problems on noncompact intervals.
Common Fixed Point Theorems for - -Contractive Type Mappings  [PDF]
Jalal Hassanzadeasl
International Journal of Analysis , 2013, DOI: 10.1155/2013/654659
Abstract: Recently, Samet et al. (2012) introduced the notion of - -contractive type mappings. They established some fixed point theorems for these mappings in complete metric spaces. In this paper, we introduce the notion of a coupled - -contractive mapping and give a common fixed point result about the mapping. Also, we give a result of common fixed points of some coupled self-maps on complete metric spaces satisfying a contractive condition. 1. Introduction We know fixed point theory has many applications and was extended by several authors from different views (see, e.g., [1–33]). Recently, Samet et al. introduced the notion of - -contractive type mappings [3]. Denote with the family of nondecreasing functions such that for all , where is the th iterate of . It is known that for all and [3]. Let be a metric space, a self map on , and . Then, is called a - -contractive mapping whenever for all . Also, we say that is -admissible whenever implies for all [3]. Also, we say that has the property ( ) if is a sequence in such that for all and , then for all . Let be a complete metric space and let a -admissible - -contractive mapping on . Suppose that there exists such that . If is continuous or has the property ( ), then has a fixed point (see [3]; Theorems 2.1 and 2.2). Finally, we say that has the property ( ) whenever for each there exists such that and . If has the property ( ) in the Theorems??2.1 and 2.2, then has a unique fixed point ([3]; Theorem 2.3). It is considerable that the results of Samet et al. generalize similar ordered results in the literature (see the results of the third section [3]). The aim of this paper is introducing the notion of generalized coupled - -contractive mappings and give a common fixed point result about the mappings. Definition 1. Let?? ??the family of functions satisfy:(i) and for all ;(ii) is continuous;(iii) is nondecreasing on ;(iv) for all . Definition 2. Let the family of functions satisfy is nondecreasing; , for all . These functions are known in the literature as ( )-comparison functions. It is easily proved that if is a ( )-comparison function, then for all . Definition 3. Let be a metric space, and let with given coupled mappings. Let , , , and let for all coupled mappings and . One says that ,?? are generalized coupled -contractive mappings whenever for all . Definition 4. Let , and let . One says that ,?? are coupled -admissible if for all . Definition 5. Let be a compete metric space. For two subsets ,?? of , one marks , if for all , there exists such that . Definition 6. A partial metric on a nonempty set is a
Common Fixed Points of Weakly Contractive and Strongly Expansive Mappings in Topological Spaces  [cached]
Shah MH,Hussain N,Khan AR
Journal of Inequalities and Applications , 2010,
Abstract: Using the notion of weakly -contractive mappings, we prove several new common fixed point theorems for commuting as well as noncommuting mappings on a topological space X. By analogy, we obtain a common fixed point theorem of mappings which are strongly -expansive on X.
Fixed point theorems of soft contractive mappings  [PDF]
Murat I. Yazar,Cigdem Gunduz,Sadi Bayramov
Mathematics , 2013,
Abstract: The first aim of this paper is to examine some important properties of soft metric spaces. Second is to introduce soft continuous mappings and investigate properties of soft continuous mappings. Third is to prove some fixed point theorems of soft contractive mappings on soft metric spaces.
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