Articles

Ram U. Verma, Semiinfinite multiobjective fractional programming problems using exponential type generalized invexities, Volume 2017, Number 3, Pages 16-33, 2017

Ram U. Verma, Semiinfinite multiobjective fractional programming problems using exponential type generalized invexities, Volume 2017, Number 3, Pages 16-33, 2017

Abstract: In this paper, first a class of second order exponential type hybrid $(\alpha$, $\beta$, $\gamma$, $\eta$, $\rho$, $h(\cdot,\cdot)$, $\kappa(\cdot,\cdot)$, $\omega(\cdot,\cdot,\cdot)$, $\varpi(\cdot,\cdot,\cdot)$, $\theta)$-invexities is introduced, and then a class of parametrically sufficient efficiency conditions based on the second order exponential type hybrid invexities is established....

Read More Read More

Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, Volume 2017, Number 3, Pages 9-15, 2017

Do Ngoc Diep, On the Twisted KK-Theory and Positive Scalar Curvature Problem, Volume 2017, Number 3, Pages 9-15, 2017

Abstract: Positiveness of scalar curvature and Ricci curvature requires vanishing the obstruction $\theta(M)$ which is computed in some KK theory of C*-algebras index as a pairing of spin Dirac operator and Mishchenko bundle associated to the manifold. U. Pennig had proved that the obstruction $\theta(M)$...

Read More Read More

Anjana Bhattacharyya, Some Properties of fgs*-Continuous Functions, Volume 2017, Number 3, Pages 1-8, 2017

Anjana Bhattacharyya, Some Properties of fgs*-Continuous Functions, Volume 2017, Number 3, Pages 1-8, 2017

Abstract: This paper is a continuation of [7]. In this paper we have introduced and characterized fgs*-regular and fgs*-normal spaces. In Section 4, a new type of fuzzy T2-space, viz., fgs*-T2 space is introduced and shown that fgs*-T2-space remains invariant under inverse image of fgs*-irresolute function....

Read More Read More

S Olatunji, E J Dansu and A Abidemi, On a class of Bazilevic functions associated with quasi-subordination, Volume 2017, Number 2, Pages 33-39, 2017

S Olatunji, E J Dansu and A Abidemi, On a class of Bazilevic functions associated with quasi-subordination, Volume 2017, Number 2, Pages 33-39, 2017

Abstract: A new class $\mathcal H_q(\alpha, b, n)$ of Bazilevi\v c functions of type $\alpha$ defined in terms of quasi-subordination is presented. We obtain the coefficient estimates as well as the Fekete-Szeg\"o inequality of functions that are related to the new class. The improved results for...

Read More Read More

H. Essaouini, L. El Bakkali and P. Capodanno, Analysis of the small oscillations of a heavy viscous liquid in a rigid container closed by an elastic membrane, Volume 2017, Number 2, Pages 25-32, 2017

H. Essaouini, L. El Bakkali and P. Capodanno, Analysis of the small oscillations of a heavy viscous liquid in a rigid container closed by an elastic membrane, Volume 2017, Number 2, Pages 25-32, 2017

Abstract: The authors study the small oscillations of a heavy viscous liquid in a container closed by an elastic membrane. From the equations of the problem, they obtain its variational formulation, then an operatorial equation in a suitable Hilbert space. By a simple change of the...

Read More Read More

Omur Deveci and Anthony G. Shannon, On The Adjacency-Type Sequences, Volume 2017, Number 2, Pages 10-24, 2017

Omur Deveci and Anthony G. Shannon, On The Adjacency-Type Sequences, Volume 2017, Number 2, Pages 10-24, 2017

Abstract: This paper develops properties of the adjacency-type sequences defined from the adjacency matrix of the Cayley diagram for the direct product of two cyclic groups of order n and m. Also, we study the adjacency-type sequences modulo a from the generating matrices of the adjacency-type...

Read More Read More

G.Thangaraj and R.Palani, A short note on fuzzy residual sets and fuzzy functions, Volume 2017, Number 2, Pages 1-9, 2017

G.Thangaraj and R.Palani, A short note on fuzzy residual sets and fuzzy functions, Volume 2017, Number 2, Pages 1-9, 2017

Abstract: In this paper several characterizations of fuzzy residual sets are established and the criteria for preservation of the fuzzy residuality of fuzzy sets under fuzzy continuous and fuzzy open functions between fuzzy topological spaces, are obtained. Keywords: Fuzzy nowhere dense set, fuzzy somewhere dense...

Read More Read More

Do Ngoc Diep, Quantization of fields and automorphic representations, Volume 2017, Number 1, Pages 48-54, 2017

Do Ngoc Diep, Quantization of fields and automorphic representations, Volume 2017, Number 1, Pages 48-54, 2017

Comments 0 Comment

Abstract: In this paper we use the quantization of fields based on Geometric Langlands Correspondence \cite{diep1} to realize the automorphic representations of some concrete series of groups: for the affine Heisenberg (loop) groups it is reduced to the construction of the affine Kac-Moody representation by the...

Read More Read More

S.O. Olatunji and E.J. Dansu, On neighbourhoods of analytic functions defined by using modified sigmoid function associated with conic domain, Volume 2017, Number 1, Pages 41-47, 2017

S.O. Olatunji and E.J. Dansu, On neighbourhoods of analytic functions defined by using modified sigmoid function associated with conic domain, Volume 2017, Number 1, Pages 41-47, 2017

Comments 0 Comment

Abstract: The neighbourhood of $N_\delta(f)$ for function $f_\gamma\in k$-$T_n^s[A,B]$ whose geometric condition satisfy $R\left(\frac{(B-1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A-1)}{(B+1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A+1)}\right)> k\left|\frac{(B-1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A-1)}{(B+1)\frac{D^{n+1}f_\gamma(z)}{D^nf_\gamma(z)}-(A+1)}-1\right|$ where $k\geq 0$, $n\in N_0$, $-1\leq B<A\leq 1$ and $\lim_{s\rightarrow \infty}\gamma(s)=1$ is considered. Key words: Starlike Function; Convex Function; Analytic Function; Modified Sigmoid Function; Conic Domain. Full text: PDF Full file: XML...

Read More Read More

P Sumati Kumari, A H Ansari and M Sarwar, On $b$-dislocated quasi-metric space, Volume 2017, Number 1, Pages 30-40, 2017

P Sumati Kumari, A H Ansari and M Sarwar, On $b$-dislocated quasi-metric space, Volume 2017, Number 1, Pages 30-40, 2017

Comments 0 Comment

Abstract: The purpose of this work is to study topological properties of b-dislocated quasi-metric space and derive some fixed point theorems. Moreover, few examples are given to illustrate the usability of the obtained results. Key words: $b$-dislocated quasi-metric space, Zamfirescu contraction and $s-z$ quasi-contraction. Full text: PDF...

Read More Read More

S S Thakur and Alpa Singh Rajput, Soft Almost Continuous Mappings, Volume 2017, Number 1, Pages 23-29, 2017

S S Thakur and Alpa Singh Rajput, Soft Almost Continuous Mappings, Volume 2017, Number 1, Pages 23-29, 2017

Comments 0 Comment

Abstract: In this paper the concept of soft almost continuous mappings and soft almost open mappings in soft topological spaces have been introduced and studied. Key words: Soft open sets, Soft weakly continuous mappings, Soft almost continuous mappings and Soft almost open mappings. Full Text: PDF...

Read More Read More

Anjana Bhattacharyya, More On Fuzzy Regular Preopen Sets, Volume 2017, Number 1, Pages 9-22, 2017

Anjana Bhattacharyya, More On Fuzzy Regular Preopen Sets, Volume 2017, Number 1, Pages 9-22, 2017

Comments 0 Comment

Abstract: In this paper we have first introduced fuzzy $p$-closed and fuzzy regular $p$-closed spaces and then characterized these two concepts in several ways. Afterwards, we have introduced two new concepts of fuzzy cover, viz., fuzzy $p$-cover and fuzzy regular $p$-cover respectively and characterized fuzzy...

Read More Read More

S. Arolkar and Y.S. Valaulikar, On a B-q bonacci Sequence, Volume 2017, Number 1, Pages 1-8, 2017

S. Arolkar and Y.S. Valaulikar, On a B-q bonacci Sequence, Volume 2017, Number 1, Pages 1-8, 2017

Comments 0 Comment

Abstract: In this paper $q^{th}$ order linear recurrence relation is defined. This new sequence is an extension of Fibonacci sequence in such a way that the coefficients of the terms on the right hand side of its recurrence relation, are terms of the binomial expansion...

Read More Read More

C T Aage and P G Golhare, On fixed point theorems in dislocated quasi $b$-metric spaces, Volume 2016, Number 1, Pages 55-70, 2016

C T Aage and P G Golhare, On fixed point theorems in dislocated quasi $b$-metric spaces, Volume 2016, Number 1, Pages 55-70, 2016

Comments 0 Comment

Abstract: The purpose of this paper is to introduce the common fixed point theorems in dislocated quasi b-metric space. These generalize the existing fixed point results in such spaces. Keywords: Dislocated quasi b-metric space, dislocated metric, fixed point, contractions, Banach contraction, Kannan contraction. Full text: PDF Full...

Read More Read More

M A Ahmed and A M Zidan, Fixed point theorems in a generalized type of multiplicative metric spaces, Volume 2016, Number 1, Pages 49-54, 2016

M A Ahmed and A M Zidan, Fixed point theorems in a generalized type of multiplicative metric spaces, Volume 2016, Number 1, Pages 49-54, 2016

Comments 0 Comment

Abstract: In this work, we introduce a generalized type of multiplicative metric space so-called dislocated quasi multiplicative metric space (abbreviated as dq-multiplicative metric space). We state and prove fixed point theorems in this space. Keywords: Multiplicative metric space; dislocated quasi multiplicative metric space; fixed point theorems....

Read More Read More

R. Arab, Generalized contractions and common fixed point theorems in ordered metric space for weakly compatible mappings, Volume 2016, Number 1, Pages 37-48, 2016

R. Arab, Generalized contractions and common fixed point theorems in ordered metric space for weakly compatible mappings, Volume 2016, Number 1, Pages 37-48, 2016

Comments 0 Comment

Abstract: In this paper, we prove common fixed point theorems for maps that satisfy a contraction principle involving a rational expression in complete metric spaces. Presented theorems extend and generalize some existence results in the literature. Key words: common fixed point; coincidence fixed point; w-compatible...

Read More Read More

Ioannis K. Argyros, Munish Kansal and V. Kanwar, Ball convergence for two and three-point methods with memory based on Hermite interpolation, Volume 2016, Number 1, Pages 26-36, 2016

Ioannis K. Argyros, Munish Kansal and V. Kanwar, Ball convergence for two and three-point methods with memory based on Hermite interpolation, Volume 2016, Number 1, Pages 26-36, 2016

Comments 0 Comment

Abstract: In this paper, we present a local convergence analysis of multipoint iterative methods with memory for approximating a locally unique solution of a nonlinear equation. The convergence analysis of these type of methods was shown under hypotheses reaching up to the eighth (or even...

Read More Read More

Ioannis K. Argyros, Munish Kansal and V. Kanwar, Ball convergence for Ostrowski-like method with accelerated eighth order convergence under weak conditions, Volume 2016, Number 1, Pages 17-25, 2016

Ioannis K. Argyros, Munish Kansal and V. Kanwar, Ball convergence for Ostrowski-like method with accelerated eighth order convergence under weak conditions, Volume 2016, Number 1, Pages 17-25, 2016

Comments 0 Comment

Abstract: We present a local convergence analysis of an optimal eighth-order family of Ostrowski-like methods for approximating a locally unique solution of a nonlinear equation. Earlier studies have shown convergence of these methods under hypotheses up to the fifth derivative of the function although only...

Read More Read More

R. A. Rashwan, H. A. Hammad and G. A. Okeke, Convergence and almost sure (S,T)-stability for random iterative schemes, Volume 2016, Number 1, Pages 1-16, 2016

R. A. Rashwan, H. A. Hammad and G. A. Okeke, Convergence and almost sure (S,T)-stability for random iterative schemes, Volume 2016, Number 1, Pages 1-16, 2016

Comments 0 Comment

Abstract: In this paper, we study the convergence and almost sure (S, T)-stability of Jungck-Noor type, Jungck-SP type, Jungck-Ishikawa type and Jungck-Mann type random iterative algorithms for some kind of a general contractive type random operators (2.14) in a separable Banach spaces. The Bochner integrability of random...

Read More Read More