Von Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79204120171205Sliding window rough measurable function on Riesz Triple Almost \((\lambda_{m_{i}}\mu_{n_{\ell}}\gamma_{k_{j}})\) Lacunary \(\chi^{3}_{R_{\lambda_{m_{i}}\mu_{n_{\ell}}\gamma_{k_{j}}}}\) sequence spaces defined by a Orlicz function91103ENAyhanEsiDepartment of Mathematics,Adiyaman University,02040,Adiyaman, TurkeyNagarajanSubramanianDepartment of Mathematics,SASTRA University,Thanjavur-613 401, IndiaIn this paper we introduce a new concept for generalized sliding window rough measurable function on almost $\left(\lambda_{m_{i}}\mu_{n_{\ell}}\gamma_{k_{j}}\right)$ convergence in $\chi^{3}_{R_{\lambda_{m_{i}}\mu_{n_{\ell}}\gamma_{k_{j}}}}$-Riesz spaces strong $P$-convergent to zero with respect to an Orlicz function and examine some properties of the resulting sequence spaces. We also introduce and study sliding window rough statistical convergence of generalized sliding window rough measurable function on almost $\left(\lambda_{m_{i}}\mu_{n_{\ell}}\gamma_{k_{j}}\right)$ convergence in $\chi^{3}_{R_{\lambda_{m_{i}}\mu_{n_{\ell}}\gamma_{k_{j}}}}$-Riesz space and also some inclusion theorems are discussed.http://vonneumann-publishing.com/cna/119/download-sliding-window-rough-measurable-function-on-riesz-triple-almost-lambda-m-imu-n-ellgamma-k-j-lacunary-chi3-r-lambda-m-imu-n-ellgamma-k-j-sequence-spaces-defined-by-a-orlicz-functionVon Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79204120171208Some results by quasi-contractive mappings in f -orbitally complete metric space104110ENMaryamEshraghisamaniDepartment of Mathematics, Science and Research Branch, Islamic Azad University, Tehran, IranS. MansourVaezpourDepartment of Mathematics and Computer Sciences, Amirkabir University of Technology, Tehran, IranMehdi AsadiDepartment of Mathematics, Zanjan Branch, Islamic Azad University, Zanjan, Iranhttp://vonneumann-publishing.com/cna/127/download-some-results-by-quasi-contractive-mappings-in-f-orbitally-complete-metric-spaceVon Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79204120171217Some coupled fixed point results for set-valued mappings with applications111120ENAbdessalemBenterkiLAMDA-RO Laboratory, Department of Mathematics, University of Blida, Algeria.Mohamed RouakiLMP2M Laboratory, University of Medea, Algeria.Arslan Hojat AnsariDepartment of Mathematics, Karaj Branch, Islamic Azad University, Karaj, Iran.This paper deals with the study of coupled fixed point theorems for \(\varphi\)-pseudo-contractive set-valued mappings without using the mixed \(g\)-monotone property on the closed ball of partial metric spaces. Generalizations of some well-known results concerning existence and location of coupled fixed points are obtained. These coupled fixed point theorems are applied for obtaining the existence results for an elliptic system. http://vonneumann-publishing.com/cna/129/download-some-coupled-fixed-point-results-for-set-valued-mappings-with-applicationsVon Neumann Publishing House Inc.Communications in Nonlinear Analysis(CNA)2371-79204120171217Explicit bound on some retarded integral inequalities and applications121129ENBadreddine MeftahLaboratoire des t\'{e}l\'{e}communications, Facult\'{e} des Sciences et de la Technologie, University of 8 May 1945 Guelma, P.O. Box 401, 24000 Guelma, AlgeriaAbdourazek SouahiUniversity of Badji Mokhtar Annaba, Algeria.In this paper, we establish some new retarded integral inequalities, which can be used as tool in the qualitative study of certain properties of retarded integro-differential equations.http://vonneumann-publishing.com/cna/130/download-explicit-bound-on-some-retarded-integral-inequalities-and-applications