2024-03-29T02:38:46Z
https://www.cna-journal.com/?_action=export&rf=summon&issue=11962
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2017
3
2
Fixed points of multivalued θ-contractions on closed ball
Eskandar
Ameer
Muhammad
Arshad
We introduce the notion of multivalued θ-contractions on the closed ball and we obtain some new fixed pointresults for such contractions. An example is given here to illustrate the usability of the obtained results.
metric space
closed ball
Fixed point
multivalued nonlinear θ-contraction
2017
06
01
44
51
https://www.cna-journal.com/article_89515_e8041f0e258558a97c08c334f4d17d5c.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2017
3
2
Common coupled fixed point theorem for two pairs of hybrid maps in complex valued metric spaces
Konduru Pandu
Ranga Rao
Shaik
Sadik
Saurabh
Manro
In this paper, we prove a common coupled xed point theorem for two hybrid pairs of maps with greatestlower bound property in complex valued metric spaces. We also give an example to illustrate our maintheorem.
Complex valued metric
w-compatible maps
hybrid pair
g.l.b property
2017
06
01
52
67
https://www.cna-journal.com/article_89764_0ada8409e98d1668adbe187ae58eb30f.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2017
3
2
Some remarks on tripled fixed point theorems for a sequence of mappings satisfying Geraghty contraction with applications
Deepak
Singh
Varsha
Chauhan
Mehdi
Asadi
The purpose of this paper is threefold. Firstly, we establish a tripled coincidence fixed point theorem for a sequence of mappings involving Geraghty contraction using compatibility and weakly reciprocally continuousmaps in the structure of partially ordered metric spaces. The technique used in A. Roldan et al. [9] andin S. Radenovic [10] are not applicable to the presented theorems, we show that our results cannot beobtained from the existing results in this eld of study and thus our results are completely new and give rise toa new dimension. Secondly, the notable works due to V. Berinde [3], V. Lakshmikantam and L. Ciric [8] andBabu and Subhashini [1] are generalized and extended. Finally, some sufficient conditions are given for theuniqueness of a tripled common fixed point. Consequently, we point out some slip-ups in the main resultsof R. Vats et al.[12] and present a furnished version of the same. Some illustrative examples to highlightthe realized improvements are also furnished. Moreover, existence and uniqueness for the solution of aninitial-boundary-value problem are discussed. On the other hand, as an application to establish existence anduniqueness for the system of integral equations our results are utilized.
Partially ordered metric spaces
compatible mappings
weakly reciprocally maps
tripled coincidence point
tripled fixed point
2017
06
01
68
86
https://www.cna-journal.com/article_89765_4bd702e3eb13378da52d05c6223e1a68.pdf
Communications in Nonlinear Analysis
Commun. Nonlinear Anal.
2017
3
2
Note on some Iyengar integral inequalities
Khaled
Boukerrioua
Badreddine
Meftah
Tarik
Chiheb
In this short note, some Iyengar integral inequalities are established via new extension of Montgomeryidentity.
Iyengar inequality
lipchitzienne function
Montgomery identity
2017
06
01
87
90
https://www.cna-journal.com/article_89766_78ff9818182ab5004d442462581abd7c.pdf