International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
1
SAT: 30-12-2017 Hall[B] Oral - Sec13 ( 1 )
 08:45 : 09:00

FUA - 1 EG Dr. Mohaned Abdalla m.abdallah@sci.svu.edu.eg

12
Operational formulae of the generalized hypergeometric matrix functions and related matrix polynomials
M. Abdalla , H. Abd-Elmageedb , M. Abul-Ez

 Dept. of Math., Faculty of Science, South Valley University, Qena 83523, Egypt. Dept. of Math., Faculty of Science, South Valley University, Qena 83523, Egypt. Mathematics Department, Faculty of Science, Sohag University, Sohag 82524, Egypt

ABSTRACT
The aim of this article is to present an overview of the modern de- velopments around the theme of multivariable hypergeometric matrix functions (MHMFs). Operator representations of multivariable hy- pergeometric functions and certain classes of orthogonal matrix poly- nomials are established here by a new technique.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
2
SAT: 30-12-2017 Hall[B] Oral - Sec13 ( 2 )
 09:00 : 09:15

FUA - 2 EG Dr. Mohaned Abdalla m.abdallah@sci.svu.edu.eg

12
On the matrix versions of Srivastava's triple hypergeometric functions
M. Abdalla

 Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

ABSTRACT
This paper deals with the study of the Srivastava's triple hypergeometric matrix functions. The convergent properties, an integral representation of these functions and contiguous function relations are obtained. Some results coming from operating the differential operator on Srivastava's triple hypergeometric matrix functions are established. Moreover a solution of certain partial differential equation are given.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
3
SAT: 30-12-2017 Hall[B] Oral - Sec13 ( 3 )
 09:15 : 09:30

FUA - 3 EG Dr. Mohaned Abdalla m.abdallah@sci.svu.edu.eg

12
Some results on Appell hypergeometric matrix functions
H. ABD-ELMAGEED , M. ABUL-EZ , Z. KISHKA , A. ABDEL RADY

 Department of Mathematics Faculty of Science South Valley University Qena 83523 Egypt Department of Mathematics Faculty of Science Sohag University Sohag 82524 Egypt Department of Mathematics Faculty of Science Sohag University Sohag 82524 Egypt Department of Mathematics Faculty of Science South Valley University Qena 83523 Egypt

ABSTRACT
In this paper we have established result for the Appell's hypergeometric matrix functions. An integral representation of these functions, generating functions and reduction formulas are derived here. Furthermore, certain relations are obtained by acting a diﬀerential operator to Appell matrix functions arguments have also been discussed.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
4
SAT: 30-12-2017 Hall[B] Oral - Sec13 ( 4 )
 09:30 : 09:45

FUA - 4 EG Dr. Sahar Mohamed Ali Abou Bakr saharm_ali@yahoo.com

12
FIXED POINT AND CONVERGENCE THEOREM FOR GENERALIZED ϕ WEAK CONTRACTIONS AND {a; b; c; r} GENERALIZED CYCLIC CONTRACTIONS IN QUASI METRIC SPACES
Sahar Mohamed Ali Abou Bakr

 Ain Shams University, Faculty of Science, Department of Mathematics, Cairo, Egypt.

ABSTRACT
We prove the existence of only one common fixed point of two mappings, in particular; proves the existence of unique fixed point of some generalized contraction, introduces new type of {a, b, c; r} generalized cyclic contraction, proves the existence of unique fixed point of such mappings; all are defined on complete quasi metric spaces, and then establishes a convergence theorem for a sequence of fixed points of a sequence of generalized cyclic contractions to the unique fixed point of a given generalized cyclic contraction S. This research extends and generalizes results previously proved.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
5
SAT: 30-12-2017 Hall Sec Poster (03) ( 1 )
 01:15 : 02:45

FUA - 5 DZ Dr. Hakima BOUHADJERA b_hakima2000@yahoo.fr

12
MORE GENERAL COMMON FIXED POINT THEOREMS UNDER A NEW CONCEPT

 Laboratory of Applied Mathematics Badji Mokhtar-Annaba University P.O. Box 12, 23000 Annaba, Algeria

ABSTRACT
A general common fixed point theorem for two pairs of weakly subsequentially continuous mappings (recently introduced) satisfying a significant estimated implicit function is proved. An extension of this results thereby obtained. Our results assert the existence and uniqueness of common fi xed points in several cases.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
6
SAT: 30-12-2017 Hall Sec Poster (03) ( 2 )
 01:15 : 02:45

FUA - 9 EG Mr. Dhyaa Abdalhassan Mohan dhyaa.mohan79@gmail.com

12
Some Properties of Certain Subclasses of Analytic Functions Defined by using An Integral Operator
A. H. Hassan , D. A. Mohan

 Faculty of Science, Zagazig University, Zagazig 44519, Egypt Faculty of Science, Zagazig University, Zagazig 44519, Egypt

ABSTRACT
In this paper, by using the subordination principle we introduce and study new subclasses of analytic functions with negative coefficients defined on the open unit disk. We obtain numerous sharp results including (for example) coefficient estimates, distortion theorem, radii of starlikeness and convexity. Moreover, we deduce some results according to the modified Hadamard product of functions belonging to these subclasses.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
7
SAT: 30-12-2017 Hall Sec Poster (03) ( 3 )
 01:15 : 02:45

FUA - 10 EG Dr. Taha Yassen taha_hmour@yahoo.com

12
Quaternion-Valued Functions and Lacunary Series Expansions in Hyperholomorphic $F^{\alpha}_{G}(p,q,s)$ Spaces
Mohamed Abdelrahman Ahmed , Alaa Kamal Mohamed , Taha Ibrahim Yassen Moursy

 Professor of Mathematics, Faculty of Science - Assiut University- Egypt Port Said University, Faculty of Science, Department of Mathematics,Port Said, Egypt Port Said University, Faculty of Science, Department of Mathematics,Port Said, Egypt

ABSTRACT
The purpose of this paper is to define a new class of hyperholomorphic functions, the so called $F^{\alpha}_{G}(p,q,s)$ Spaces. For this class we obtain characterizations by ${\mathcal{B}}^{\alpha}$ spaces. Moreover, we characterize the hyperholomorphic $F^{\alpha}_{G}(p,q,s)$ functions by the coefficients of certain lacunary series expansions in Clifford analysis.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
8
SAT: 30-12-2017 Hall Sec Poster (03) ( 4 )
 01:15 : 02:45

FUA - 12 EG Dr. Ahmed M. Zidan zidan.math90@azhar.edu.eg

12
Fixed Point Theorems in Weak Quasi Partial Metric Spaces and it's Application
A. M. Zidan , M. A. Barakat

 Department of Mathematics, Faculty of Science, Al-Azhar University, Assuit branch, Egypt. Department of Mathematics, Faculty of Science, Al-Azhar University, Assuit branch, Egypt.

ABSTRACT
We present a New generalized fixed point theorems in weak quasi partial metric spaces for cyclic compatabl contraction . Our result extend some known results duo to Barakat et.al. [1]. Also, in order to illustrate our results, we present the study about the existence and uniqueness of solutions of the functional equation.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
9
SAT: 30-12-2017 Hall[B] Oral - Sec16 ( 1 )
 04:00 : 04:15

FUA - 6 EG Assoc.Prof. Ali Saddeek dr.ali.saddeek@gmail.com

12
A NEW GENERALIZED S-ALGORITHM VIA ADMISSIBLE APPROACH TO COMMON FIXED POINTS OF GENERAL-TYPE CONTRACTION MAPPINGS
Ali Mohamed Saddeek , Sayed Attia Ahmed

 Department of Mathematics, Faculty of Science, Assiut University, Assiut , Egypt Department of Mathematics, Faculty of Science, Assiut University, Assiut , Egypt,,,Umm Al Qura University, Jamoum University College, Makka, Saudi Arabia

ABSTRACT
In this paper, a new generalized S-algorithm in terms of admissible and generalized admissible mappings for approximating common fixed points of three mappings satisfying general contraction type conditions is introduced and its strong convergence is proved in uniformly convex Banach spaces. The results improve and generalize the main results of several authors.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
10
SAT: 30-12-2017 Hall[B] Oral - Sec16 ( 2 )
 04:15 : 04:30

FUA - 7 EG Dr. Alaa Hassan alaahassan@zu.edu.eg

12
A Novel Subclasses of Bi-Univalent Analytic Functions Defined by Using Q-Calculus
A. H. Hassan

 Department of Mathematics, Faculty of Science, Zagazig University

ABSTRACT
In this paper, by using the q-derivative we introduce certain generalized subclasses of normalized (f(0)=f'(0)-1=0) bi-univalent analytic functions. For functions belonging to the subclass under investigation, we ﬁnd estimates on the Maclaurin coeffcients |a_2| and |a_3|. Some earlier results are improved and some special cases are pointed out.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
11
SAT: 30-12-2017 Hall[B] Oral - Sec16 ( 3 )
 04:30 : 04:45

FUA - 11 EG Dr. Alaa Hassan alaahassan@zu.edu.eg

12
Further Properties of Certain Class of Analytic Functions Associated with Bessel-Type Operator
A. H. Hassan

 Faculty of Science, Zagazig University

ABSTRACT
In this paper we investigate some subordination properties of certain linear operator associated with the well-known Bessel functions. Also, we investigated some estimates and sufficient starlike conditions of certain subclass of univalent functions defined in the unit disc.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

International Conference on Mathematics, Trends and Development ICMTD17 ,
Cairo, Egypt, 28 – 30 Dec. 2017 Organized by The Egyptian Mathematical Society,
Web Site: http://www.etms-eg.org

Functional Analysis
12
SAT: 30-12-2017 Hall[B] Oral - Sec16 ( 4 )
 04:45 : 05:00

FUA - 12 EG Dr. S. Al-Tamemy al.tamemy505@yahoo.com

12
Second Order Optimality Conditions For Semilinear Elliptic Optimal Control Problem Infinite Order With Pointwise Mixed Control –State Constraints
Somiah Elzahaby , S. Al-Tamemy

 Al-Azhar University[Girls Branch], Faculty of Science, Mathematics Dept. Al-Azhar University[Girls Branch], Faculty of Science, Mathematics Dept.

ABSTRACT
In this paper a semiliner elliptic optimal control problem of infinite order with mixed control – state constraints are studied. The existence of regular Lagrange multipliers, first – order necessary and Second order sufficient conditions are obtained.
 Code MPH STA NAM DSA CSC ALG TGA FUA DEA page 01 25 43 55 61 67 79 90 102

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