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کاربرد نوع شرط:
- جایگاه : پژوهشی
- مجله: Sahand Communications in Mathematical Analysis
- نوع مقاله: Journal Article
- کلمات کلیدی: Fixed point,Measure of non-compactness,Simulation functions,$alpha$-admissible mappings
- چکیده:
- چکیده انگلیسی: In this paper, at first, we introduce $alpha_{mu}$-admissible, $Z_mu$-contraction and $N_{mu}$-contraction via simulation functions. We prove some new fixed point theorems for defined class of contractions via $alpha$-admissible simulation mappings, as well. Our results can be viewed as extension of the corresponding results in this area. Moreover, some examples and an application to functional integral equations are given to support the obtained results.
- انتشار مقاله: 05-02-1397
- نویسندگان: Hossein Monfared,Mehdi Asadi,Ali Farajzadeh
- مشاهده
- جایگاه : پژوهشی
- مجله: Sahand Communications in Mathematical Analysis
- نوع مقاله: Journal Article
- کلمات کلیدی: Common fixed point,Suzuki type contractions,Generalized $Psi$-simulation functions
- چکیده:
- چکیده انگلیسی: In this paper, a new stratification of mappings, which is called $Psi$-simulation functions, is introduced to enhance the study of the Suzuki type weak-contractions. Some well-known results in weak-contractions fixed point theory are generalized by our researches. The methods have been appeared in proving the main results are new and different from the usual methods. Some suitable examples are furnished to demonstrate the validity of the hypothesis of our results and reality of our generalizations.
- انتشار مقاله: 08-10-1396
- نویسندگان: Gholamreza Heidary Joonaghany,Ali Farajzadeh,Mahdi Azhini,Farshid Khojasteh
- مشاهده
- جایگاه : پژوهشی
- مجله: Advances in Mathematical Finance and Application
- نوع مقاله: Journal Article
- کلمات کلیدی: Economics equilibrium point,Vector equilibrium problem,Generalized pseudomonotonicity
- چکیده:
- چکیده انگلیسی: In this paper, first a short history of the notion of equilibrium problem in Economics and Nash$acute{'}$ game theory is stated. Also the relationship between equilibrium problem among important mathematical problems like optimization problem, nonlinear programming, variational inequality problem, fixed point problem and complementarity problem is given. The concept of generalized pseudomonotonicity for vector valued bifunctions is introduced. By using it some existence results for the vector equilibrium problem, in the setting of
topological vector spaces, are presented. Some examples in order to illustrate the main results and compare them with the corresponding published results are furnished. Further, the compactness of the solution set of vector equilibrium problem is investigated.- انتشار مقاله: 06-11-1397
- نویسندگان: Ali Farajzadeh,Syyedeh Marzieh Halimi
- مشاهده