Papers by Arslan Hojat Ansari
Scientific Publications of the State University of Novi Pazar Series A: Applied Mathematics, Informatics and mechanics, 2016
In this paper, we introduced the concepts pair (F , h) a upclass of type II and α βcontractive ma... more In this paper, we introduced the concepts pair (F , h) a upclass of type II and α βcontractive mappings and show that theorems in [4]reduce to corollaries in this paper. that is, all them can obtain of one theorem. in end we state example for support main result.
Results in Fixed Point Theory and Applications, 2018
In this paper, we use C-class function in order to obtain some coupled fixed point theorems in th... more In this paper, we use C-class function in order to obtain some coupled fixed point theorems in the setting of S b-metric space. Some results are also given in the form of corollaries. Examples are also given to verify our results.
In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty ... more In this paper, we present some fixed and coincidence point theorems for hybrid rational Geraghty contractive mappings in partially ordered b-metric spaces. Also, we derive certain coincidence point results for such contractions. An illustrative example is provided here to highlight our findings.
Best approximation results provide an approximate solution to the fixed point equation T x = x, w... more Best approximation results provide an approximate solution to the fixed point equation T x = x, when the non-self mapping T has no fixed point. In particular, a well-known best approximation theorem, due to Fan [6], asserts that if K is a nonempty compact convex subset of a Hausdorff locally convex topological vector space E and T : K → E is a continuous mapping, then there exists an element x satisfying the condition d(x, T x) = inf{d(y, T x) : y ∈ K}, where d is a metric on E. Recently, Hussain et al. (Abstract and Applied Analysis, Vol. 2014, Article ID 837943) introduced proximal contractive mappings and established certain best proximity point results for these mappings in G-metric spaces. The aim of this paper is to introduce certain new classes of auxiliary functions and proximal contraction mappings and establish best proximity point theorems for such kind of mappings in G-metric spaces. As consequences of these results, we deduce certain new best proximity and fixed point results in G-metric spaces. Moreover, we present certain examples to illustrate the usability of the obtained results.
In this paper, we introduced the concept of (CAB)-contractive mappings and provide sufficient con... more In this paper, we introduced the concept of (CAB)-contractive mappings and provide sufficient conditions for the existence and uniqueness of a fixed point for such class of generalized nonlinear contractive mappings in metric spaces and several interesting corollaries are deduced. Also, as application, we obtain some results on coupled fixed points, fixed point on metric spaces endowed with N-transitive binary relation and fixed point for cyclic mappings. The proved results generalize and extend various well-known results in the literature.
In this paper, by using the classes C and Φ u of functions to introduce a generalization of the k... more In this paper, by using the classes C and Φ u of functions to introduce a generalization of the known class Ψ of 5-dimensional functions, we discuss the existence problems of common fixed points for two mappings of integral type with semi-implicit contractive conditions and give more general results and some particular forms.
In this paper, we introduce three real functional classes C * and Φ * c and Φ * u , and discuss t... more In this paper, we introduce three real functional classes C * and Φ * c and Φ * u , and discuss the existence problems of common fixed points for two mappings of integral type with implicit contractive conditions determined by C * and Φ * c and Φ * u on non-complete ordered metric spaces and give more general results.
Using the concepts of a pair upclass, α−admissible and µ−subadmissible mappings in this paper, ar... more Using the concepts of a pair upclass, α−admissible and µ−subadmissible mappings in this paper, are proven a coupled coincidence point results for mappings F : X 2 → X and : X → X. In this way, recent papers [27, 33] have been reformed and generalized. Two examples are given to support the theoretical results.
In this paper, we introduce a new concept called partial (h-F)-generalized (and (h-F)-subgenerali... more In this paper, we introduce a new concept called partial (h-F)-generalized (and (h-F)-subgeneralized) convex contractions of order 3 (and with rank 3) using some auxiliary functions. Also we present some approximate fixed point results in metric space and approximate fixed point results in metric space endowed with a graph. Some examples are provided to illustrate the main results and to show the essentiality of the given hypotheses.
In this paper, we prove the existence and uniqueness of a coupled best proximity point for mappin... more In this paper, we prove the existence and uniqueness of a coupled best proximity point for mappings satisfying the proximally coupled contraction condition in a complete ordered metric space. Further, our result provides an extension of a result due to Luong and Thuan (Comput.
In this article, we introduce the notion of C-Kannan type cyclic weakly contractions and derive t... more In this article, we introduce the notion of C-Kannan type cyclic weakly contractions and derive the existence of fixed points for such mappings in the framework of complete metric spaces. Our results extend and improve some fixed point theorems in the literature.
The purpose of this paper is to discuss the existence of fixed points for new classes of mappings... more The purpose of this paper is to discuss the existence of fixed points for new classes of mappings defined on an ordered metric space. The obtained results generalize and improve some fixed point results in the literature. Some examples show the usefulness of our results.
Article Info Abstract Saadati et al [1] introduced the notion of Ω-distance mappings and studied ... more Article Info Abstract Saadati et al [1] introduced the notion of Ω-distance mappings and studied some existing fixed point results. In this paper, we employ the notion of Ω-distance and some functions defined on [0,∞) to introduce some new nonlinear contractions of Suzuki types. We utilize our new notions to formulate and proved serval fixed and common fixed point results. Our results improve and extend many results in literature.
The aim of this paper is to proved some new fixed point theorems for (F, ψ, ϕ) −weak contractions... more The aim of this paper is to proved some new fixed point theorems for (F, ψ, ϕ) −weak contractions on ordered S-complete Hausdorff uniform spaces. Our results extend existing results in the literature.
The purpose of this paper is to prove a common fixed point theorem, by using the concept of weakl... more The purpose of this paper is to prove a common fixed point theorem, by using the concept of weakly subsequential continuity and compatibility of type (E) for two pairs of self mappings satisfying a linear contractive condition in metric spaces, we give two examples to illustrate our results.
This paper studies the Mittag-Leffler function. Its properties are illustrated and proved, their ... more This paper studies the Mittag-Leffler function. Its properties are illustrated and proved, their potential applications include the generalization of sine, cosine, exponential functions and Euler's Formula. This paper is an extension to the advanced calculus, furthermore, an open problem is given for further development of the present theory.
International Journal of Mathematics and Mathematical Sciences, 2005
Refining some results of Dragomir, several new reverses of the generalized triangle inequality in... more Refining some results of Dragomir, several new reverses of the generalized triangle inequality in inner product spaces are given. Among several results, we establish some reverses for the Schwarz inequality. In particular, it is proved that if a is a unit vector in a real or complex inner product space (H; ·, · ), r,s > 0, p ∈ (0,s], D = {x ∈ H, rx − sa ≤ p}, x 1 ,x 2 ∈ D − {0}, and α r,s = min{(r 2 x k 2 − p 2 + s 2 )/2rs x k : 1 ≤ k ≤ 2}, then ( x 1 x 2 − Re x 1 ,x 2 )/( x 1 + x 2 ) 2 ≤ α r,s .
JIPAM. J. Inequal. Pure Appl. Math, 2005
Department of Mathematics Ferdowsi University PO Box 1159, Mashhad 91775, Iran. EMail: msalm@math... more Department of Mathematics Ferdowsi University PO Box 1159, Mashhad 91775, Iran. EMail: msalm@math.um.ac.ir URL: http://www.um.ac.ir/∼moslehian/ ... Refinements of Reverse Triangle Inequalities in Inner Product Spaces ... Arsalan Hojjat Ansari and Mohammad Sal ...
Applied Mathematical Sciences, 2015
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Journal of Fixed Point Theory and Applications, 2016
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Papers by Arslan Hojat Ansari