**Volume 11 (2022)**

**Volume 10 (2021)**

**Volume 09 (2020)**

**Volume 08 (2019)**

**Volume 07 (2018)**

**Volume 06 (2017)**

**Volume 05 (2016)**

**Volume 04 (2015)**

**Volume 03 (2014)**

**Volume 02 (2013)**

**Volume 01 (2012)**

# Main Subjects = Fixed point theory
Number of Articles: 36

##### 1. The triples of $(v,u,\phi)$-contraction and $(q,p,\phi)$-contraction in $b$-metric spaces and its application

*Volume 11, Issue 01 , March 2022, , Pages 39-46*

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**Abstract **

The aim of this work is to introduce the concepts of $(v, u, \phi)$-contraction and $(q, p, \phi)$-contraction, and to obtain new results in fixed point theory for four mappings in $b$-metric spaces. Finally, we have developed ...
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##### 2. $b$-metric spaces with a graph and best proximity points for some contractions

*Volume 10, Issue 04 , December 2021, , Pages 277-286*

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**Abstract **

In this paper, we introduce a new type of graph contraction using a special class of functions and give a best proximity point theorem for this contraction in complete metric spaces endowed with a graph. Then we support our main theorem by a non-trivial example and give some consequences of it for usual ...
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##### 3. Coincident and common fixed point theorems using comparison and admissible function in w-distance metric space

*Volume 10, Issue 04 , December 2021, , Pages 323-333*

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**Abstract **

In this manuscript, the concept of generalized $(\eta, \chi, p)$ contractive mapping for two maps in the framework of w-distance is introduced and some fixed point results are established, which extend recent results of Lakzian and Rhoades [5] and many existing results ...
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##### 4. Hybrid linesearch algorithm for pseudomonotone equilibrium problem and fixed points of Bregman quasi asymptotically nonexpansive multivalued mappings

*Volume 10, Issue 02 , June 2021, , Pages 153-177*

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**Abstract **

In this paper, we introduce a linesearch algorithm for solving fixed points of Bregman quasi asymptotically nonexpansive multivalued mappings and pseudomonotone equilibrium problem in reflexive Banach space. Using the linesearch method, we prove a strong convergence of the iterative scheme to a common ...
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##### 5. Coupled fixed point results for $T$-contractions on $\mathcal{F}$-metric spaces and an application

*Volume 10, Issue 01 , March 2021, , Pages 1-10*

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**Abstract **

The main purpose of this article is to introduce the concept of $T$-contraction type mappings in the function weighed metric spaces and to obtain some coupled fixed points theorems in this framework. Also, an example and an application of the existence of a solution of a system of nonlinear integral ...
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##### 6. $S$-metric and fixed point theorem

*Volume 09, Issue 03 , September 2020, , Pages 213-220*

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**Abstract **

In this paper, we prove a general fixed point theorem in $\textrm{S}$-metric spaces for maps satisfying an implicit relation on complete metric spaces. As applications, we get many analogues of fixed point theorems in metric spaces for $\textrm{S}$-metric spaces.
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##### 7. Integral type contraction and coupled fixed point theorems in ordered G-metric spaces

*Volume 09, Issue 02 , June 2020, , Pages 113-120*

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**Abstract **

In this paper, we apply the idea of integral type contraction and prove some coupled fixed point theorems for such contractions in ordered $G$-metric space. Also, we support the main results by an illustrative example.
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##### 8. Common fixed point results for graph preserving mappings in parametric $N_b$-metric spaces

*Volume 09, Issue 02 , June 2020, , Pages 165-183*

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**Abstract **

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of graph preserving mappings in parametric $N_b$-metric spaces. As some consequences of this study, we obtain several important results in parametric $b$-metric spaces, parametric $S$-metric ...
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##### 9. Fixed point results for Su-type contractive mappings with an application

*Volume 09, Issue 01 , March 2020, , Pages 53-65*

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**Abstract **

In this paper, we introduce the concept of Su-type contractive mapping and establish fixed point theorems for such mappings in the setting of ordered extended partial $b$-metric space. We also develop an application for Fredholm type integral equations ...
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##### 10. Multi-valued fixed point theorems in complex valued $b$-metric spaces

*Volume 09, Issue 01 , March 2020, , Pages 75-94*

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**Abstract **

The aim of this paper is to establish and prove some results on common fixed point for a pair of multi-valued mappings in complex valued $b$-metric spaces. Our results generalize and extend a few results in the literature.
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##### 11. $C$-class functions on common fixed point theorems for weak contraction mapping of integral type in modular spaces

*Volume 08, Issue 04 , December 2019, , Pages 265-285*

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**Abstract **

In this paper, we use the concept of $C$-class functions introduced by Ansari [4] to prove the existence and uniqueness of common fixed point for self-mappings in modular spaces of integral inequality. Our results extended and generalized ...
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##### 12. $(F,\varphi ,\alpha )_{s}$-contractions in $b$-metric spaces and applications

*Volume 08, Issue 03 , August 2019, , Pages 173-182*

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**Abstract **

In this paper, we introduce more general contractions called $\varphi $-fixed point point for $(F,\varphi ,\alpha )_{s}$ and $(F,\varphi ,\alpha )_{s}$-weak contractions. We prove the existence and uniqueness of $\varphi $-fixed point ...
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##### 13. Generalized hyperstability of the cubic functional equation in ultrametric spaces

*Volume 08, Issue 02 , June 2019, , Pages 97-104*

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**Abstract **

In this paper, we present the generalized hyperstability results of cubic functional equation in ultrametric Banach spaces using the fixed point method.
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##### 14. Existence of best proximity and fixed points in $G_p$-metric spaces

*Volume 07, Issue 03 , September 2018, , Pages 155-168*

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**Abstract **

In this paper, we establish some best proximity point theorems using new proximal contractive mappings in asymmetric $G_{p}$-metric spaces. Our motive is to find an optimal approximate solution of a fixed point equation. We provide best proximity points for cyclic contractive mappings in $G_{p}$-metric ...
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##### 15. Some local fixed point results under $C$-class functions with applications to coupled elliptic systems

*Volume 07, Issue 03 , September 2018, , Pages 169-182*

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**Abstract **

The main objective of the paper is to state newly fixed point theorems for set-valued mappings in the framework of 0-complete partial metric spaces which speak about a location of a fixed point with respect to an initial value of the set-valued mapping by using some $C$-class functions. The results proved ...
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##### 16. Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space

*Volume 07, Issue 03 , September 2018, , Pages 183-199*

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**Abstract **

In this paper, we shall establish some fixed point theorems for mappings with the contractive condition of integrable type on complete intuitionistic fuzzy metric spaces $(X, M,N,*,\lozenge)$. We also use Lebesgue-integrable mapping to obtain new results. Akram, Zafar, and Siddiqui introduced the ...
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##### 17. Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions

*Volume 07, Issue 03 , September 2018, , Pages 201-218*

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**Abstract **

In this paper, we discuss the existence and uniqueness of points of coincidence and common fixed points for a pair of self-mappings satisfying some generalized contractive type conditions in $b$-metric spaces endowed with graphs and altering distance functions. Finally, some examples are provided ...
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##### 18. Some fixed point results for contractive type mappings in b-metric spaces

*Volume 07, Issue 03 , September 2018, , Pages 219-231*

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**Abstract **

In this work, we prove some fixed point theorems by using $wt$-distance on b-metric spaces. Our results generalize some fixed point theorems in the literature. Moreover, we introduce $wt_0$-distance and by using the concept of $wt_0$-distance, we obtain some coupled fixed point results in complete b-metric ...
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##### 19. Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces

*Volume 07, Issue 03 , September 2018, , Pages 233-244*

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**Abstract **

In this paper, the notions of a Suzuki-Berinde type $F_{S}$-contraction and a Suzuki-Berinde type $F_{C}^{S}$-contraction are introduced on a $S$-metric space. Using these new notions, a fixed-point theorem is proved on a complete $S$-metric space and a fixed-circle theorem is established on ...
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##### 20. $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph

*Volume 07, Issue 03 , September 2018, , Pages 245-250*

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**Abstract **

In this paper, we introduce the $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph so that $(M,\delta)$ is a metric space, and $V(\Gamma)$ is the vertices of $\Gamma$ coincides with $M$. We aim to obtain some new fixed-point results for such contractions. We give an example ...
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##### 21. On some open problems in cone metric space over Banach algebra

*Volume 06, Issue 04 , December 2017, , Pages 261-267*

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**Abstract **

In this paper we prove an analogue of Banach and Kannan fixed point theorems by generalizing the Lipschitz constat $k$, in generalized Lipschitz mapping on cone metric space over Banach algebra, which are answers for the open problems proposed by Sastry et al, [K. P. R. Sastry, G. A. Naidu, T. Bakeshie, ...
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##### 22. A fixed point method for proving the stability of ring $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras

*Volume 06, Issue 04 , December 2017, , Pages 269-276*

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**Abstract **

In this paper, we first present the new concept of $2$-normed algebra. We investigate the structure of this algebra and give some examples. Then we apply a fixed point theorem to prove the stability and hyperstability of $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras.
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##### 23. A solution of nonlinear fractional random differential equation via random ﬁxed point technique

*Volume 06, Issue 04 , December 2017, , Pages 277-287*

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**Abstract **

In this paper, we investigate a new type of random $F$-contraction and obtain a common random fixed point theorem for a pair of self stochastic mappings in a separable Banach space. The existence of a unique solution for nonlinear fractional random differential equation is proved under suitable conditions.
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##### 24. Common best proximity points for $(\psi-\phi)$-generalized weak proximal contraction type mappings

*Volume 06, Issue 04 , December 2017, , Pages 289-300*

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**Abstract **

In this paper, we introduce a pair of generalized proximal contraction mappings and prove the existence of a unique best proximity point for such mappings in a complete metric space. We provide examples to illustrate our result. Our result extends some of the results in the literature.
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##### 25. Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph

*Volume 06, Issue 04 , December 2017, , Pages 301-321*