**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: 30

##### 1. Common fixed point results for graph preserving mappings in parametric $N_b$-metric spaces

*Volume 09, Issue 02 , Spring 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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##### 2. Integral type contraction and coupled fixed point theorems in ordered G-metric spaces

*Volume 09, Issue 02 , Spring 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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##### 3. Fixed point results for Su-type contractive mappings with an application

*Volume 09, Issue 01 , Winter 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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##### 4. Multi-valued fixed point theorems in complex valued $b$-metric spaces

*Volume 09, Issue 01 , Winter 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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##### 5. $C$-class functions on common fixed point theorems for weak contraction mapping of integral type in modular spaces

*Volume 08, Issue 04 , Autumn 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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##### 6. $(F,\varphi ,\alpha )_{s}$-contractions in $b$-metric spaces and applications

*Volume 08, Issue 03 , Summer 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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##### 7. Generalized hyperstability of the cubic functional equation in ultrametric spaces

*Volume 08, Issue 02 , Spring 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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##### 8. Suzuki-Berinde type fixed-point and fixed-circle results on $S$-metric spaces

*Volume 07, Issue 03 , Summer 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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##### 9. Fixed point theorem for mappings satisfying contractive condition of integral type on intuitionistic fuzzy metric space

*Volume 07, Issue 03 , Summer 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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##### 10. Some local fixed point results under $C$-class functions with applications to coupled elliptic systems

*Volume 07, Issue 03 , Summer 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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##### 11. Existence of best proximity and fixed points in $G_p$-metric spaces

*Volume 07, Issue 03 , Summer 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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##### 12. Common fixed points for a pair of mappings in $b$-Metric spaces via digraphs and altering distance functions

*Volume 07, Issue 03 , Summer 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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##### 13. Some fixed point results for contractive type mappings in b-metric spaces

*Volume 07, Issue 03 , Summer 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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##### 14. $ b-(\varphi, \Gamma)-$graphic contraction on metric space endowed with a graph

*Volume 07, Issue 03 , Summer 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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##### 15. Fixed points of weak $\psi$-quasi contractions in generalized metric spaces

*Volume 06, Issue 04 , Autumn 2017, , Pages 323-329*

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**Abstract **

In this paper, we introduce the notion of weak $\psi$-quasi contraction in generalized metric spaces and using this notion we obtain conditions for the existence of fixed points of a self map in $D$-complete generalized metric spaces. We deduce some corollaries from our result and provide examples in ...
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##### 16. A fixed point method for proving the stability of ring $(\alpha, \beta, \gamma)$-derivations in $2$-Banach algebras

*Volume 06, Issue 04 , Autumn 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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##### 17. A solution of nonlinear fractional random differential equation via random ﬁxed point technique

*Volume 06, Issue 04 , Autumn 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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##### 18. On some open problems in cone metric space over Banach algebra

*Volume 06, Issue 04 , Autumn 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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##### 19. Common best proximity points for $(\psi-\phi)$-generalized weak proximal contraction type mappings

*Volume 06, Issue 04 , Autumn 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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##### 20. Coincidence points and common fixed points for hybrid pair of mappings in b-metric spaces endowed with a graph

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

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**Abstract **

In this paper, we introduce the notion of strictly (α,ψ,ξ)-G-contractive mappings in b-metric spaces endowed with a graph G. We establish a sufficient condition for existence and uniqueness of points of coincidence and common fixed points for such mappings. Our results extend and unify many ...
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##### 21. Fixed point theory in generalized orthogonal metric space

*Volume 06, Issue 03 , Summer 2017, , Pages 251-260*

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**Abstract **

In this paper, among the other things, we prove the existence and uniqueness theorem of fixed point for mappings on a generalized orthogonal metric space. As a consequence of this, we obtain the existence and uniqueness of fixed point of Cauchy problem for the first order differential equation.
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##### 22. Unique common coupled fixed point theorem for four maps in $S_b$-metric spaces

*Volume 06, Issue 01 , Winter 2017, , Pages 29-43*

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**Abstract **

In this paper we prove a unique common coupled fixed point theorem for two pairs of $w$-compatible mappings in $S_b$-metric spaces satisfying a contrctive type condition. We furnish an example to support our main theorem. We also give a corollary for Junck type maps.
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##### 23. New best proximity point results in G-metric space

*Volume 06, Issue 01 , Winter 2017, , Pages 73-89*

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**Abstract **

Best approximation results provide an approximate solution to the fixed point equation $Tx=x$, when the non-self mapping $T$ has no fixed point. In particular, a well-known best approximation theorem, due to Fan cite{5}, asserts that if $K$ is a nonempty compact convex subset of a Hausdorff locally ...
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##### 24. Coupled fixed point theorems involving contractive condition of integral type in generalized metric spaces

*Volume 06, Issue 01 , Winter 2017, , Pages 45-53*

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**Abstract **

In this manuscript, we prove some coupled fixed point theorems for two pairs of self mappings satisfying contractive conditions of integral type in generalized metric spaces. We furnish suitable illustrative examples. In this manuscript, we prove some coupled fixed point theorems for ...
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##### 25. Random fixed point theorems with an application to a random nonlinear integral equation

*Volume 05, Issue 02 , Spring 2016, , Pages 119-133*