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Open Access Article
1 - Characterization of weak fixed point property for new class of set-valued nonexpansive mappings
Hamid Reza HajisharifiIn this paper, we introduce a new class of set-valued mappings which is called MD-type mappings. This class of mappings is a set-valued case of a class of the D-type mappings. The class of D-type mappings is a generalization of nonexpansive mappings that recently introd MoreIn this paper, we introduce a new class of set-valued mappings which is called MD-type mappings. This class of mappings is a set-valued case of a class of the D-type mappings. The class of D-type mappings is a generalization of nonexpansive mappings that recently introduced by Kaewkhao and Sokhuma. The class of MD-type mappings includes upper semi-continuous Suzuki type mappings, upper semi-continuous L-type mappings and upper semi-continuous quasi-nonexpansive mappings. We study relationships between MD-type mappings and some other set-valued generalization of nonexpansive mappings. In the sequel we show that if E is a nonempty, weakly compact and convex subset of a Banach space (X,‖.‖) for which every D-type self-mapping on E has a fixed point, then every MD-type self-mapping on E has a fixed point. This result gives a partial affirmative answer to an open problem of Rich. Moreover, we establish some fixed theorems for MD-type mappings which generalize some well-known results in the literature. Manuscript profile -
Open Access Article
2 - THE ROPER-SUFFRIDGE EXTENSION OPERATORS ON THE CLASS OF STRONG AND ALMOST SPIRALLIKE MAPPINGS OF TYPE $beta$ AND ORDER $alpha$
Samira Rahrovi H. piriLet$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ MoreLet$mathbb{C}^n$ be the space of $n$ complex variables. Let$Omega_{n,p_2,ldots,p_n}$ be a complete Reinhardt on$mathbb{C}^n$. The Minkowski functional on complete Reinhardt$Omega_{n,p_2,ldots,p_n}$ is denoted by $rho(z)$. The concept ofspirallike mapping of type $beta$ and order $alpha$ is defined.So, the concept of the strong and almost spirallike mappings of type$beta$ and order $alpha$ is discussed in this paper. From theSchwarz-Pick lemma, under certain conditions, we obtain that thegeneralized Roper-Suffridge operators preserve strong and almostspirallikeness of type $beta$ and order $alpha$ on bounded andcomplete Reinhardt domains $Omega_{n,p_1,cdots,p_n}$. For specificvalues for $alpha$ and $beta$, we obtain the correspondingdefinitions of strong spirallike mappings of type $beta$, strongand almost starlike mappings of order $alpha$, strong starlikemappings. Therefore we obtain the generalized Roper-Suffridgeoperators preserve strong spirallikeness of type $beta$, strong andalmost starlikeness of order $alpha$, strong starlikeness on thecorresponding domains. In particular, our results reduce to manywell-known results. Manuscript profile -
Open Access Article
3 - Orthogonal sets: Coincidence and fixed point theorems in incomplete metric spaces
Hamid Baghani Maryam Ramezani Hamid KhodaeiIn this paper, as motivated by a work of Daffer et al. [6], we state and prove some theorems for set valued mappings and by them we conclude the existence of coincidence points and fixed points of a general class of set valued mappings satisfying a new generalized contr MoreIn this paper, as motivated by a work of Daffer et al. [6], we state and prove some theorems for set valued mappings and by them we conclude the existence of coincidence points and fixed points of a general class of set valued mappings satisfying a new generalized contractive condition which extends some well-known results in the literature. For this reason, firstly, by using a recent work of Eshaghi et al [11], we define the notion of orthogonal sets and by the notion, we consider our results in strongly orthogonal complete metric spaces (not necessarily complete metric spaces). In addition, this article has a new and different view on the subject and consists of several non-trivial examples which signify the motivation of such investigations. Also, in the end of this paper, by using our examples, we show that our results are real generalization of the previous results in the literature. Manuscript profile -
Open Access Article
4 - Survey of partial and directional derivatives of fuzzy multi-dimensional mappings under generalized differentiability
Mohsen Miri Karbasaki Mohammadreza Balooch Shahryari Omolbanin SedaghatfarFuzzy optimization issues have been discussed by many authors in recent articles, inspired by the concepts of generalized Hukuhara difference and generalized Hukuhara differentiability for one-dimensional functions from R to E, and have made considerable progress. In th MoreFuzzy optimization issues have been discussed by many authors in recent articles, inspired by the concepts of generalized Hukuhara difference and generalized Hukuhara differentiability for one-dimensional functions from R to E, and have made considerable progress. In this paper, the concept of total generalized differentiability is introduced by using the concept of generalized difference from R^n to E for multi-dimensional mappings. Furthermore, the total generalized differentiability of the above is also examined and then the concept of directional generalized differentiability and partial generalized differentiability for fuzzy multi-dimensional mappings is defined and discussed in detail. In addition, directional generalized differentiability and partial generalized differentiability are expressed in terms of level-wise generalized differentiability. Also, the properties and the relationship between them are discussed. Finally, the relationships between total generalized differentiability, directional generalized differentiability and partial generalized differentiability are shown to illustrate the power and ability of relationships between them by mentioning some examples. Manuscript profile -
Open Access Article
5 - Coincidence and fixed point theorems of generalized weakly contractive mappings in modular-like spaces
Fatemeh LaelAbstractAlthough fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular problems MoreAbstractAlthough fixed point theorems in modular spaces have remarkably applied to a wide variety of mathematical problems, these theorems strongly depend on some assumptions which often do not hold in practice or can lead to their reformulations as particular problems in normed vector spaces. A recent trend of research has been dedicated to studying the fundamentals of fixed point theorems and relaxing their assumptions with the ambition of pushing the boundaries of fixed point theory in modular spaces further. The convexity is an assumption which lead to converting of modular space to the normed space so relaxing this assumption lead to stronger theorems. But as we know much theorems are proved on convex modular spaces.In this paper, we introduce the modular-like definition which is a generalization of modular space. And common fixed point of generalized weakly contraction mappings are proved. We focus on convexity and boundedness of modular-like in fixed point results taken from the literature for generalized weakly contractive mappings. So our results, generalized fixed point theorems in many acpects. Afterwards we present examples and an application to a particular form of integral inclusions to support our main results. Manuscript profile -
Open Access Article
6 - Existence of fixed points for generalized α-admissible Geraghty and application to solution of nonlinear differential equations
Babak Mohammadi Vahid Parvaneh Farhan GolkarmaneshRecently, samet et al. introduced an interesting extension of the Banach contraction principle. In this paper, motivated by the main idea of Samet et al., we introduce the concept of α-admissible α-θ-generalized mappings in metric spaces and give and p MoreRecently, samet et al. introduced an interesting extension of the Banach contraction principle. In this paper, motivated by the main idea of Samet et al., we introduce the concept of α-admissible α-θ-generalized mappings in metric spaces and give and prove several theorems of the existence and uniqueness of a fixed point in complete metric spaces for such mappings. The results obtained in this study, generalize many of the results in this field, especially, the results presented by Jleli et al. and the work done by Geraghty. By presenting an example, we show that our results are real generalization of the previous results. Next, we get new results in ordered metric spaces and graphical metric spaces using the concept of α-admissible α-θ-generalized mappings. Finally, we present an application of our obtained results for the existence and uniqueness of the solution of nonlinear first-order ordinal differential equations and periodic boundary value problems. Manuscript profile -
Open Access Article
7 - قضایای نقطه ثابت n-تایی به کنمک آلفا سری در فضاهای متریک ^*C-جبر مقدار با کاربردی در معادلات انتگرال
سمیرا هادی بناب وحید پروانه حسن حسین زاده حسن آیدی سید جلالدین حسینی غنچههدف این مقاله ارائه برخی قضایای نقطه ثابت و نقطه انطباق چندگانه در فضاهای متریک C^*-جبر مقدار با استفاده از مفهوم آلفا سری برای دنباله ای از نگاشت ها می باشد. در پایان مقاله، یک مثال و یک کاربرد برای نشان دادن کارایی و درستی نتایج اصلی ارائه می دهیم.هدف این مقاله ارائه برخی قضایای نقطه ثابت و نقطه انطباق چندگانه در فضاهای متریک C^*-جبر مقدار با استفاده از مفهوم آلفا سری برای دنباله ای از نگاشت ها می باشد. در پایان مقاله، یک مثال و یک کاربرد برای نشان دادن کارایی و درستی نتایج اصلی ارائه می دهیم. Manuscript profile -
Open Access Article
8 - On End and Coupled Endpoints of $\theta$-$F$-Contractive Set-Valued Mappings
B. Mohammadi A. Alizadeh -
Open Access Article
9 - Fixed point theorem for non-self mappings and its applications in the modular space
R. Moradi A. ‎Razani -
Open Access Article
10 - Approximating xed points of generalized non-expansive non-self mappings in CAT(0) spaces
Saeed Saeed Shabani S.J. Hoseini GhonchehSuppose K is a nonempty closed convex subset of a complete CAT(0) spaceX with the nearest point projection P from X onto K. Let T : K → X be anonself mapping, satisfying condition (C) with F(T) :={ x ε K : Tx = x}≠Φ.Suppose fxng is generate MoreSuppose K is a nonempty closed convex subset of a complete CAT(0) spaceX with the nearest point projection P from X onto K. Let T : K → X be anonself mapping, satisfying condition (C) with F(T) :={ x ε K : Tx = x}≠Φ.Suppose fxng is generated iteratively by x1ε K, xn+1 = P((1-αn)xn+αnTP[(1-αn)xn+βnTxn]),n≥1, where {αn }and {βn } are real sequences in[ε,1-ε] for some ε in (0,1). Then {xn} is Δ-convergence to some point x* inF(T). This work extends a result of Laowang and Panyanak [5] to the case ofgeneralized nonexpansive nonself mappings. Manuscript profile -
Open Access Article
11 - Sequential Optimality Conditions for Bilevel Multiobjective Fractional Programming Problems with Extremal Value Function
Laghdir Mohamed -
Open Access Article
12 - Common fixed point of four maps in $S_b$-Metric spaces
S. Radenovic Sh. Sedghi A. Gholidahneh T. Dosenovic J. Esfahani -
Open Access Article
13 - Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph
S. K. Mohanta S. Patra -
Open Access Article
14 - Bornological linearly topologized modules over a discrete valuation ring
D. P. Pombo Jr. -
Open Access Article
15 - New iteration process for approximating fixed points in Banach spaces
J. D. Bhutia K. Tiwary -
Open Access Article
16 - Multi-valued fixed point theorems in complex valued $b$-metric spaces
F. Ahmad M. ‎Shehu Shagari A. Azam -
Open Access Article
17 - Hybrid linesearch algorithm for pseudomonotone equilibrium problem and fixed points of Bregman quasi asymptotically nonexpansive multivalued mappings
M. H. Harbau B. Ali -
Open Access Article
18 - Existence of fixed point theorems for complex partial b-metric spaces using S-contractive mapping
S. Tiwari L. Rathour L. Mishra -
Open Access Article
19 - Some Common Fixed Point Results for Finite Family of G-Monotone Generalized Quasi- Contraction Mappings
Kanayo Eke Johnson Olaleru -
Open Access Article
20 - FIXED POINT THEOREM OF KANNAN-TYPE MAPPINGS IN GENERALIZED FUZZY METRIC SPACES
Esmaeil Feizi -
Open Access Article
21 - COUPLED FIXED POINT THEOREMS FOR GENERALIZED Φ-MAPPINGS SATISFYING CONTRACTIVE CONDITION OF INTEGRAL TYPE ON CONE METRIC SPACES
J. O. Olaleru G. A. Okeke H. Akewe -
Open Access Article
22 - EXISTENCE OF FIXED POINTS OF CERTAIN CLASSES OF NONLINEAR MAPPINGS
odwin Amechi Okeke Johnson O Olaleru