Papers by Wutiphol Sintunavarat
Fixed Point Theory and Applications, 2015
In this paper, we introduce the notion of generalized cyclic contraction pairs in b-metric spaces... more In this paper, we introduce the notion of generalized cyclic contraction pairs in b-metric spaces and establish some fixed point theorems for such pairs. Also, we give some examples to illustrate the main results which properly generalizes some results given by some authors in literature. Further, by using the main results, we prove some common fixed point results for generalized contraction pairs in partially ordered b-metric spaces. Our results generalize and improve the result of Shatanawi and Postolache (Fixed Point Theory Appl. 2013:60, 2013) and several well-known results given by some authors in metric and b-metric spaces.
Common α-fuzzy fixed point theorems for fuzzy mappings via $\beta_\mathcal{F}$-admissible pair
Journal of Intelligent & Fuzzy Systems, 2014
ABSTRACT The object of this paper is to extend the concept of beta-admissible for multivalued map... more ABSTRACT The object of this paper is to extend the concept of beta-admissible for multivalued mappings due to Mohammadi et al. [B. Mohammadi, S. Rezapour and N. Shahzad, Some results on fixed points of alpha-psi-Ciric generalized multifunctions, Fixed Point Theory and Applications 2013 (2013), 24] to fuzzy mappings and utilize this concept to prove a common alpha-fuzzy fixed point theorem for a pair of fuzzy mappings. We also give illustrative example which demonstrate the validity of the hypotheses of our results. Some related results to common fixed point for multivalued mappings are also derived from the main result.
Extension of almost generalized weakly contractive mappings in rectangular b-metric spaces and fixed point results
Afrika Matematika, 2016
In this work, we extend the concept of an almost generalized weakly contractive mapping in rectan... more In this work, we extend the concept of an almost generalized weakly contractive mapping in rectangular b-metric spaces. The establish of fixed point of such mappings is also provided. We give an example to support our results.
Fixed Point Theory and Applications, 2015
In this paper, we prove common coupled fixed point theorems under a Geraghty-type condition using... more In this paper, we prove common coupled fixed point theorems under a Geraghty-type condition using monotone instead of the often used mixed monotone property. Also we give some sufficient conditions for the uniqueness of a common coupled fixed point. An example illustrating our results is provided. MSC: 47H10; 54H25
Hybrid coincidence and common fixed point theorems in Menger probabilistic metric spaces under a strict contractive condition with an application
Applied Mathematics and Computation, 2014
Abstract We prove some coincidence and common fixed point theorems for two hybrid pairs of mappin... more Abstract We prove some coincidence and common fixed point theorems for two hybrid pairs of mappings in Menger spaces satisfying a strict contractive condition. An illustrative example is given to support the genuineness of our extension besides deriving some related results. Then, we establish the corresponding common fixed point theorems in metric spaces. Finally, we utilize our main result to obtain the existence of a common solution for a system of Volterra type integral equations.
In 2006, Rafi and Noorani [M. Rafi, M.S.M. Noorani, Fixed point theorem on intuitionistic fuzzy m... more In 2006, Rafi and Noorani [M. Rafi, M.S.M. Noorani, Fixed point theorem on intuitionistic fuzzy metric spaces, Iranian Journal of Fuzzy Systems 3 (1) (2006) 23-29] has introduced the notion of intuitionistic fuzzy contraction mappings. The aim of this paper is to develop and generalize the notion of intuitionistic fuzzy contraction mappings and establish a fixed point theorem for new mappings in intuitionistic fuzzy metric spaces.
Journal of Inequalities and Applications, 2014
In this paper, we introduce the concept of fuzzy mappings in Hausdorff fuzzymetric spaces (in the... more In this paper, we introduce the concept of fuzzy mappings in Hausdorff fuzzymetric spaces (in the sense of George and Veeramani (Fuzzy Sets Syst.64:395-399, 1994)). We establish the existence of α-fuzzyfixed point theorems for fuzzy mappings in Hausdorff fuzzy metric spaces, whichcan be utilized to derive fixed point theorems for multivalued mappings. We alsogive an illustrative example to support our main result.
Random Operators and Stochastic Equations, 2009
In this paper, we establish the existence of common random fixed points for multivalued random op... more In this paper, we establish the existence of common random fixed points for multivalued random operators. In our results we may not assume that f is an S-weakly commuting random operator and g is a T-weakly commuting random operator. We improve and extend the recent results of Naseer Shahzad and Nawab Hussain [10] and many authors.
Journal of Inequalities and Applications, 2012
Recently, Azam et al. introduced new spaces called the complex valued metric spaces and establish... more Recently, Azam et al. introduced new spaces called the complex valued metric spaces and established the existence of fixed point theorems under the contraction condition. In this article, we extend and improve the condition of contraction of the results of Azam et al. and also apply the main result to the unique common solution of system of Urysohn integral equation.
Journal of Applied Mathematics, 2011
We prove some common fixed point theorems for a pair of weakly compatible mappings in fuzzy metri... more We prove some common fixed point theorems for a pair of weakly compatible mappings in fuzzy metric spaces both in the sense of Kramosil and Michalek and in the sense of George and Veeramani by using the new property and give some examples. Our results improve and generalize the main results of Mihet in (Mihet, 2010) and many fixed point theorems in fuzzy metric spaces.
International Journal of Mathematics and Mathematical Sciences, 2011
The concept of tangential for single-valued mappings is extended to multivalued mappings and used... more The concept of tangential for single-valued mappings is extended to multivalued mappings and used to prove the existence of a common fixed point theorem of Gregus type for four mappings satisfying a strict general contractive condition of integral type. Consequently, several known fixed point results generalized and improved the corresponding recent result of Pathak and Shahzad (2009) and many authors.
Fixed Point Theory and Applications, 2012
In this article the concept of coupled best proximity point and cyclic contraction pair are intro... more In this article the concept of coupled best proximity point and cyclic contraction pair are introduced and then we study the existence and convergence of these points in metric spaces. We also establish new results on the existence and convergence in a uniformly convex Banach spaces. Furthermore, we give new results of coupled fixed points in metric spaces and give some illustrative examples. An open problems are also given at the end for further investigation.
Fixed Point Theory and Applications, 2012
In this paper, we introduced a new type of a contractive condition defined on an ordered space, n... more In this paper, we introduced a new type of a contractive condition defined on an ordered space, namely a P-contraction, which generalizes the weak contraction. We also proved some fixed point theorems for such a condition in ordered metric spaces. A supporting example of our results is provided in the last part of our paper as well.
Fixed Point Theory and Applications, 2012
We prove some coincidence and common fixed point results for three mappings satisfying a generali... more We prove some coincidence and common fixed point results for three mappings satisfying a generalized weak contractive condition in ordered partial metric spaces. As application of the presented results, we give a unique fixed point result for a mapping satisfying a weak cyclical contractive condition. We also provide some illustrative examples. MSC:47H10, 54H25.
Fixed Point Theory and Applications, 2013
In this paper, we prove the coupled coincidence point theorems for a w ∗ -compatible mapping in p... more In this paper, we prove the coupled coincidence point theorems for a w ∗ -compatible mapping in partially ordered cone metric spaces over a solid cone without the mixed g-monotone property. In the case of a totally ordered space, these results are automatically obvious under the assumption given. Therefore, these results can be applied in a much wider class of problems. We also prove the uniqueness of a common coupled fixed point in this setup and give some example which is not applied to the existence of a common coupled fixed point by using the mixed g-monotone property but can be applied to our results. MSC:47H10, 54H25.
Applied Mathematics Letters, 2012
In this paper, we introduce the notion of a hybrid generalized multi-valued contraction mapping a... more In this paper, we introduce the notion of a hybrid generalized multi-valued contraction mapping and establish the common fixed point theorem for this mapping. Our results generalize, unify, extend and complement several common fixed point theorems of many authors in the literature.
Applied Mathematics and Computation, 2013
In this paper, we introduce the new notion which is more general than the previous works on the w... more In this paper, we introduce the new notion which is more general than the previous works on the weakly isotone mappings in the case of single valued mappings and multivalued mappings in an ordered Banach space. We also extend some common fixed point theorems of Dhage et al. [4] and give some applications of the main results. Furthermore, at the end of this paper, we give an open problem for further investigation.
Abstract and Applied Analysis, 2013
Recently, Basha (2011) established the best proximity point theorems for proximal contractions of... more Recently, Basha (2011) established the best proximity point theorems for proximal contractions of the first and second kinds which are extension of Banach's contraction principle in the case of non-self-mappings. The aim of this paper is to extend and generalize the notions of proximal contractions of the first and second kinds which are more general than the notion of self-contractions, establish the existence of an optimal approximate solution theorems for these non-self-mappings, and also give examples to validate our main results.
Open Mathematics, 2016
The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so call... more The aim of this paper is to introduce the concept of a new nonlinear multi-valued mapping so called weakly (
Abstract and Applied Analysis, 2014
We introduce the new type of nonself mapping and study sufficient conditions for the existence of... more We introduce the new type of nonself mapping and study sufficient conditions for the existence of past-present-future (for short PPF) dependent fixed point for such mapping in the Razumikhin class. Also, we apply our result to prove the PPF dependent coincidence point theorems. Finally, we use PPF dependence techniques to obtain solution for a nonlinear integral problem with delay.
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Papers by Wutiphol Sintunavarat