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55 results on '"Salimi, Peyman"'

51. EDELSTEIN-SUZUKI FIXED POINT THEOREM IN METRIC AND CONE METRIC SPACES; AN IMPLICIT RELATION APPROACH.

Author

Moradlou, Fridoun and Salimi, Peyman

Subjects
*FIXED point theory, *METRIC spaces, *MATHEMATICS theorems, *NONLINEAR operators, *SET theory
Abstract

In this paper, we prove some fixed point theorems in compact metric and compact cone metric spaces by using implicit relation. The presented theorems extend, generalize and improve many existing results in the literature such as a theorem by D. Dorić et al. [Dragan Dorić, Zoran Kadelburg and Stojan Radenović, Edelstein - Suzuki-type fixed point results in metric and abstract metric spaces, Nonlinear Anal. TMA 75 (2012) 1927 - 1932.] [ABSTRACT FROM AUTHOR]

Published
2013

52. Some Fixed Point Results in GP-Metric Spaces.

Author

Aydi, Hassen, Karapınar, Erdal, and Salimi, Peyman

Subjects
FIXED point theory, METRIC spaces, EXISTENCE theorems, GENERALIZED spaces, TOPOLOGICAL spaces, MATHEMATICAL analysis
Abstract

Following a recent paper of Zand and Nezhad (2011), we establish some fixed point results in GP-metric spaces. The presented theorems generalize and improve several existing results in the literature. Also, some examples are presented. [ABSTRACT FROM AUTHOR]

Published
2012
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53. Common Fixed Point Theorem for Three Mappings in Banach Valued Norm Spaces.

Author

KARAPINAR, Erdal, MORADLOU, Fridoun, and SALIMI, Peyman

Subjects
*FIXED point theory, *BANACH spaces, *NORMED rings, *COINCIDENCE theory, *MATHEMATICAL mappings, *STOCHASTIC convergence, *MATHEMATICAL analysis
Abstract

In this paper, we give a generalized theorem on point of coincidence and common fixed point for three weakly compatible mappings in Banach valued norm spaces. We give a new method for construction of the sequence, which is convergence to the common fixed point of these three mappings. [ABSTRACT FROM AUTHOR]

Published
2013

54. Existence of a solution of integral equations via fixed point theorem

Author

Vladimir Rakočević, Selma Gülyaz, Peyman Salimi, Erdal Karapınar, [Gulyaz, Selma] Cumhuriyet Univ, Dept Math, Sivas, Turkey -- [Karapinar, Erdal] Atilim Univ, Dept Math, TR-06836 Ankara, Turkey -- [Rakocevic, Vladimir] Univ Nis, Fac Sci & Math, Nish 18000, Serbia -- [Salimi, Peyman] Islamic Azad Univ, Young Researchers & Elite Club, Rasht, Iran, KARAPINAR, ERDAL -- 0000-0002-6798-3254, and GULYAZ, Selma -- 0000-0002-1876-6560

Subjects
fixed point, Applied Mathematics, ComputingMethodologies_SYMBOLICANDALGEBRAICMANIPULATION, Mathematical analysis, cyclic representation, Discrete Mathematics and Combinatorics, Fixed-point theorem, Fixed point, Integral equation, Analysis, Mathematics
Abstract

WOS: 000327463000006, In this paper, we establish a solution to the following integral equation: u(t) = integral(T)(0) G(t, s)f(s, u(s)) ds for all t is an element of [0,T], (1) where T > 0, f : [0, T] x R -> R and G : [0, T] x [0, T] -> [0, infinity) are continuous functions. For this purpose, we also obtain some auxiliary fixed point results which generalize, improve and unify some fixed point theorems in the literature., Ministry of Science, Technology and Development, Republic of Serbia [174025], The authors thank the anonymous referees for their remarkable comments, suggestions and ideas that helped to improve this paper. The third author (V Rakocevic) is supported by Grant No. 174025 of the Ministry of Science, Technology and Development, Republic of Serbia.

Published
2013

55. PPF dependent fixed point results for triangular αc-admissible mappings.

Author

Cirić L, Alsulami SM, Salimi P, and Vetro P

Subjects
Models, Theoretical, Mathematics
Abstract

We introduce the concept of triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings and establish the existence of PPF dependent fixed (coincidence) point theorems for contraction mappings involving triangular αc-admissible mappings (pair of mappings) with respect to ηc nonself-mappings in Razumikhin class. Several interesting consequences of our theorems are also given.

Published
2014
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