Khazou, Mohamed; Taoudi, Mohamed Aziz Existence and uniqueness of fixed points for monotone operators in partially ordered Banach spaces and applications. (English) Zbl 1521.47094 J. Fixed Point Theory Appl. 23, No. 2, Paper No. 12, 26 p. (2021). MSC: 47H10 47H07 47H08 34B15 34C12 45N05 PDFBibTeX XMLCite \textit{M. Khazou} and \textit{M. A. Taoudi}, J. Fixed Point Theory Appl. 23, No. 2, Paper No. 12, 26 p. (2021; Zbl 1521.47094) Full Text: DOI
Li, Jinlu Several fixed point theorems on partially ordered Banach spaces and their applications to integral equations. (English) Zbl 1484.47119 Fixed Point Theory 21, No. 1, 259-270 (2020). MSC: 47H10 46B40 45G10 PDFBibTeX XMLCite \textit{J. Li}, Fixed Point Theory 21, No. 1, 259--270 (2020; Zbl 1484.47119) Full Text: Link
Li, Jinlu; Petruşel, Adrian Extended coupled fixed point problems for set-valued mappings on partially ordered Banach spaces and their applications to systems of Hammerstein integral equations. (English) Zbl 1479.47050 J. Nonlinear Convex Anal. 20, No. 11, 2321-2333 (2019). MSC: 47H10 47H04 47H07 45G15 PDFBibTeX XMLCite \textit{J. Li} and \textit{A. Petruşel}, J. Nonlinear Convex Anal. 20, No. 11, 2321--2333 (2019; Zbl 1479.47050) Full Text: Link
Nashine, H. K.; Vats, R. K.; Kadelburg, Z. Fixed point theorems under \(\omega\)-distance functions and applications to nonlinear integral and fractional differential equations. (English) Zbl 1477.54117 Kragujevac J. Math. 43, No. 3, 371-392 (2019). MSC: 54H25 54E40 54F05 45G10 34A08 PDFBibTeX XMLCite \textit{H. K. Nashine} et al., Kragujevac J. Math. 43, No. 3, 371--392 (2019; Zbl 1477.54117) Full Text: Link
Petruşel, Adrian; Rus, Ioan A. Fixed point theory in terms of a metric and of an order relation. (English) Zbl 07262291 Fixed Point Theory 20, No. 2, 601-622 (2019). MSC: 47H10 34G20 45N05 06A06 47H09 47H07 54E35 54H25 PDFBibTeX XMLCite \textit{A. Petruşel} and \textit{I. A. Rus}, Fixed Point Theory 20, No. 2, 601--622 (2019; Zbl 07262291) Full Text: Link
Radenović, Stojan; Zoto, Kastriot; Dedović, Nebojša; Šešum-Cavic, Vesna; Hojat Ansari, Arslan Bhaskar-Guo-Lakshmikantam-Ćirić type results via new functions with applications to integral equations. (English) Zbl 1428.45005 Appl. Math. Comput. 357, 75-87 (2019). MSC: 45G10 47H10 54H25 PDFBibTeX XMLCite \textit{S. Radenović} et al., Appl. Math. Comput. 357, 75--87 (2019; Zbl 1428.45005) Full Text: DOI
Hazarika, Bipan; Arab, Reza; Kumam, Poom Coupled fixed point theorems in partially ordered metric spaces via mixed \(g\)-monotone property. (English) Zbl 1405.54026 J. Fixed Point Theory Appl. 21, No. 1, Paper No. 1, 19 p. (2019). MSC: 54H25 54E40 54F05 47H08 47N20 45G10 PDFBibTeX XMLCite \textit{B. Hazarika} et al., J. Fixed Point Theory Appl. 21, No. 1, Paper No. 1, 19 p. (2019; Zbl 1405.54026) Full Text: DOI
Espínola, Rafael; Wiśnicki, Andrzej The Knaster-Tarski theorem versus monotone nonexpansive mappings. (English) Zbl 1452.54016 Bull. Pol. Acad. Sci., Math. 66, No. 1, 1-7 (2018). MSC: 54F05 06B30 45G10 46B20 PDFBibTeX XMLCite \textit{R. Espínola} and \textit{A. Wiśnicki}, Bull. Pol. Acad. Sci., Math. 66, No. 1, 1--7 (2018; Zbl 1452.54016) Full Text: DOI arXiv
Nashine, H. K.; Agarwal, R. P.; Shukla, S.; Gupta, A. Some fixed point theorems for almost \((\mathrm{GF}, \delta_b)\)-contractions and application. (English) Zbl 1369.54043 Fasc. Math. 58, 123-143 (2017). MSC: 54H25 54F05 54C60 54E40 45G10 PDFBibTeX XMLCite \textit{H. K. Nashine} et al., Fasc. Math. 58, 123--143 (2017; Zbl 1369.54043) Full Text: DOI
Machrafi, Nabil Common coupled fixed point results for operators without mixed monotone type properties and application to nonlinear integral equations. (English) Zbl 1447.47046 Fixed Point Theory Appl. 2017, Paper No. 2, 20 p. (2017). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 47H10 47H07 47H08 45G15 PDFBibTeX XMLCite \textit{N. Machrafi}, Fixed Point Theory Appl. 2017, Paper No. 2, 20 p. (2017; Zbl 1447.47046) Full Text: DOI
Deshpande, Bhavana; Handa, Amrish Nonlinear mixed monotone-generalized contractions on partially ordered fuzzy metric spaces with application to integral equations. (English) Zbl 1371.54048 J. Fuzzy Math. 24, No. 4, 911-940 (2016). MSC: 54A40 45B05 47H10 54E35 54H25 PDFBibTeX XMLCite \textit{B. Deshpande} and \textit{A. Handa}, J. Fuzzy Math. 24, No. 4, 911--940 (2016; Zbl 1371.54048)
Deshpande, Bhavana; Handa, Amrish Employing generalized compatibility to prove coupled coincidence and fixed point results on fuzzy metric spaces with applications. (English) Zbl 1371.54047 J. Fuzzy Math. 24, No. 3, 699-730 (2016). MSC: 54A40 45B05 47H10 54E35 54H25 PDFBibTeX XMLCite \textit{B. Deshpande} and \textit{A. Handa}, J. Fuzzy Math. 24, No. 3, 699--730 (2016; Zbl 1371.54047)
Deshpande, Bhavana; Handa, Amrish Existence of coupled coincidence point for a generalized compatible pair on partially ordered modified intuitionistic fuzzy metric spaces with applications. (English) Zbl 1371.54046 J. Fuzzy Math. 24, No. 3, 663-698 (2016). MSC: 54A40 45B05 47H10 54E35 54H25 PDFBibTeX XMLCite \textit{B. Deshpande} and \textit{A. Handa}, J. Fuzzy Math. 24, No. 3, 663--698 (2016; Zbl 1371.54046)
Dhage, Bapurao C. Some generalizations of a hybrid fixed point theorem in partially ordered metric spaces and nonlinear functional integral equations. (English) Zbl 1442.54034 Differ. Equ. Appl. 8, No. 1, 77-97 (2016). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 54H25 54E40 54F05 45G10 47H08 PDFBibTeX XMLCite \textit{B. C. Dhage}, Differ. Equ. Appl. 8, No. 1, 77--97 (2016; Zbl 1442.54034) Full Text: DOI Link
Moradi, S.; Mohammadi Anjedani, M.; Analoei, E. On existence and uniqueness of solutions of a nonlinear Volterra-Fredholm integral equation. (English) Zbl 1322.45002 Int. J. Nonlinear Anal. Appl. 6, No. 1, 62-68 (2015). MSC: 45G10 45B05 45D05 PDFBibTeX XMLCite \textit{S. Moradi} et al., Int. J. Nonlinear Anal. Appl. 6, No. 1, 62--68 (2015; Zbl 1322.45002) Full Text: Link
Bugajewski, Dariusz; Kasprzak, Piotr Leggett-Williams type theorems with applications to nonlinear differential and integral equations. (English) Zbl 1321.47116 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 114, 116-132 (2015). Reviewer: Sergiu Aizicovici (Athens/Ohio) MSC: 47H10 47H30 45M20 34B18 45G15 45N05 PDFBibTeX XMLCite \textit{D. Bugajewski} and \textit{P. Kasprzak}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 114, 116--132 (2015; Zbl 1321.47116) Full Text: DOI
Babu, G. V. R.; Sailaja, P. D. Coupled fixed point theorems with new implicit relations and an application. (English) Zbl 1356.54042 J. Oper. 2014, Article ID 389646, 16 p. (2014). Reviewer: Valeriu Popa (Bacău) MSC: 54H25 54F05 45B05 47H10 PDFBibTeX XMLCite \textit{G. V. R. Babu} and \textit{P. D. Sailaja}, J. Oper. 2014, Article ID 389646, 16 p. (2014; Zbl 1356.54042) Full Text: DOI
Paesano, Daniela; Vetro, Calogero Multi-valued \(F\)-contractions in 0-complete partial metric spaces with application to Volterra type integral equation. (English) Zbl 1453.54034 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 2, 1005-1020 (2014). MSC: 54H25 54C60 54E40 54E50 54F05 45D05 PDFBibTeX XMLCite \textit{D. Paesano} and \textit{C. Vetro}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 2, 1005--1020 (2014; Zbl 1453.54034) Full Text: DOI
Nashine, Hemant Kumar; Kadelburg, Zoran Generalized nonexpansive mappings in ordered metric spaces and their (common) fixed points with applications. (English) Zbl 1433.54029 Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 2, 633-651 (2014). MSC: 54H25 54E40 54F05 45G10 34B15 PDFBibTeX XMLCite \textit{H. K. Nashine} and \textit{Z. Kadelburg}, Rev. R. Acad. Cienc. Exactas Fís. Nat., Ser. A Mat., RACSAM 108, No. 2, 633--651 (2014; Zbl 1433.54029) Full Text: DOI
Parvaneh, Vahid; Roshan, Jamal Rezaei; Radenović, Stojan Existence of tripled coincidence points in ordered \(b\)-metric spaces and an application to a system of integral equations. (English) Zbl 1425.54030 Fixed Point Theory Appl. 2013, Paper No. 130, 19 p. (2013). MSC: 54H25 54E40 45G15 PDFBibTeX XMLCite \textit{V. Parvaneh} et al., Fixed Point Theory Appl. 2013, Paper No. 130, 19 p. (2013; Zbl 1425.54030) Full Text: DOI
Heikkila, S.; Kumpulainen, M. Monotone convergence theorems for pointwise Henstock-Kurzweil integrable operator-valued functions and applications. (English) Zbl 1308.47058 Nonlinear Stud. 20, No. 3, 427-443 (2013). Reviewer: K. C. Sivakumar (Chennai) MSC: 47H07 47A56 26A39 28B15 45N05 46E40 47H10 PDFBibTeX XMLCite \textit{S. Heikkila} and \textit{M. Kumpulainen}, Nonlinear Stud. 20, No. 3, 427--443 (2013; Zbl 1308.47058)
Nashine, Hemant Kumar; Golubović, Zoran; Kadelburg, Zoran Modified \({\psi}\)-contractive mappings in ordered metric spaces and applications. (English) Zbl 1398.54078 Fixed Point Theory Appl. 2012, Paper No. 203, 18 p. (2012). MSC: 54H25 54E40 54E50 54F05 45F05 PDFBibTeX XMLCite \textit{H. K. Nashine} et al., Fixed Point Theory Appl. 2012, Paper No. 203, 18 p. (2012; Zbl 1398.54078) Full Text: DOI
Heikkilä, Seppo; Ye, Guoju Equations containing locally Henstock-Kurzweil integrable functions. (English) Zbl 1274.45017 Appl. Math., Praha 57, No. 6, 569-580 (2012). Reviewer: Giselle Antunes Monteiro (Praha) MSC: 45N05 26A39 34A37 28B15 46B40 47H07 PDFBibTeX XMLCite \textit{S. Heikkilä} and \textit{G. Ye}, Appl. Math., Praha 57, No. 6, 569--580 (2012; Zbl 1274.45017) Full Text: DOI Link
Harjani, J.; Sadarangani, K. Fixed point theorems for monotone generalized contractions in partially ordered metric spaces and applications to integral equations. (English) Zbl 1263.54051 J. Convex Anal. 19, No. 3, 853-864 (2012). Reviewer: Adrian Petruşel (Cluj-Napoca) MSC: 54H25 54F05 54E40 45B05 PDFBibTeX XMLCite \textit{J. Harjani} and \textit{K. Sadarangani}, J. Convex Anal. 19, No. 3, 853--864 (2012; Zbl 1263.54051) Full Text: Link
Ghods, S.; Eshaghi Gordji, M.; Ghods, M.; Hadian, M. Comment on “Coupled fixed point theorems for nonlinear contractions in partially ordered metric spaces” by Lakshmikantham and Ćirić. (English) Zbl 1269.54023 J. Comput. Anal. Appl. 14, No. 5, 958-966 (2012). MSC: 54H25 54F05 54E50 45G15 PDFBibTeX XMLCite \textit{S. Ghods} et al., J. Comput. Anal. Appl. 14, No. 5, 958--966 (2012; Zbl 1269.54023)
Agarwal, Ravi P.; Hussain, Nawab; Taoudi, Mohamed-Aziz Fixed point theorems in ordered Banach spaces and applications to nonlinear integral equations. (English) Zbl 1252.47044 Abstr. Appl. Anal. 2012, Article ID 245872, 15 p. (2012). MSC: 47H07 47H08 47N20 45G10 PDFBibTeX XMLCite \textit{R. P. Agarwal} et al., Abstr. Appl. Anal. 2012, Article ID 245872, 15 p. (2012; Zbl 1252.47044) Full Text: DOI
Xu, Yumei; Zhang, Haijun Positive solutions of an infinite boundary value problem for \(n\)th-order nonlinear impulsive singular integro-differential equations in Banach spaces. (English) Zbl 1257.45006 Appl. Math. Comput. 218, No. 9, 5806-5818 (2012). Reviewer: Martin Väth (Berlin) MSC: 45N05 47H08 45J05 45G05 45M20 47H10 45L05 PDFBibTeX XMLCite \textit{Y. Xu} and \textit{H. Zhang}, Appl. Math. Comput. 218, No. 9, 5806--5818 (2012; Zbl 1257.45006) Full Text: DOI
Nguyen Van Luong; Nguyen Xuan Thuan Coupled fixed points in partially ordered metric spaces and application. (English) Zbl 1202.54036 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 3, 983-992 (2011). MSC: 54H25 45G10 PDFBibTeX XMLCite \textit{Nguyen Van Luong} and \textit{Nguyen Xuan Thuan}, Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 74, No. 3, 983--992 (2011; Zbl 1202.54036) Full Text: DOI
Carl, Siegfried; Heikkilä, Seppo Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. (English) Zbl 1209.47001 New York, NY: Springer (ISBN 978-1-4419-7584-3/hbk; 978-1-4419-7585-0/ebook). xiv, 477 p. (2011). Reviewer: Christos E. Kountzakis (Karlovassi) MSC: 47-02 06Axx 06Bxx 03F60 28B05 34Axx 34Bxx 34Gxx 34Kxx 35B51 35J87 35K86 45N05 46G12 47H04 47H10 47J10 49J40 91A10 91B16 91B50 58D25 PDFBibTeX XMLCite \textit{S. Carl} and \textit{S. Heikkilä}, Fixed point theory in ordered sets and applications. From differential and integral equations to game theory. New York, NY: Springer (2011; Zbl 1209.47001) Full Text: DOI
Heikkilä, S.; Kumpulainen, M.; Seikkala, S. Convergence theorems for HL integrable vector-valued functions with applications. (English) Zbl 1177.28031 Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 1939-1955 (2009). Reviewer: Jun Kawabe (Nagano) MSC: 28B15 34K45 45G05 45N05 PDFBibTeX XMLCite \textit{S. Heikkilä} et al., Nonlinear Anal., Theory Methods Appl., Ser. A, Theory Methods 70, No. 5, 1939--1955 (2009; Zbl 1177.28031) Full Text: DOI
Hong, Shihuang Fixed points for mixed monotone multivalued operators in Banach spaces with applications. (English) Zbl 1132.47044 J. Math. Anal. Appl. 337, No. 1, 333-342 (2008). Reviewer: Regina Sandra Burachik MSC: 47H10 47H04 45P05 47J25 47N20 47H07 PDFBibTeX XMLCite \textit{S. Hong}, J. Math. Anal. Appl. 337, No. 1, 333--342 (2008; Zbl 1132.47044) Full Text: DOI
Liu, Xiaoying; Wu, Congxin Existence of coupled quasi-fixed points for mixed monotone operators and its application to the discontinuous integral equations. (English) Zbl 1026.47048 Appl. Math. Comput. 112, No. 2-3, 171-180 (2000). MSC: 47H10 45G10 47H07 47N20 PDFBibTeX XMLCite \textit{X. Liu} and \textit{C. Wu}, Appl. Math. Comput. 112, No. 2--3, 171--180 (2000; Zbl 1026.47048) Full Text: DOI
Guo, Dajun Impulsive integral equations in Banach spaces and applications. (English) Zbl 0760.45007 J. Appl. Math. Stochastic Anal. 5, No. 2, 111-122 (1992). Reviewer: J.Banaś (Rzeszów) MSC: 45N05 45G10 47H07 45M20 PDFBibTeX XMLCite \textit{D. Guo}, J. Appl. Math. Stochastic Anal. 5, No. 2, 111--122 (1992; Zbl 0760.45007) Full Text: DOI EuDML
Clément, Ph.; Da Prato, G. Existence and regularity results for an integral equation with infinite delay in a Banach space. (English) Zbl 0668.45010 Integral Equations Oper. Theory 11, No. 4, 480-500 (1988). Reviewer: S.-O.Londen MSC: 45N05 47B60 45D05 45J05 PDFBibTeX XMLCite \textit{Ph. Clément} and \textit{G. Da Prato}, Integral Equations Oper. Theory 11, No. 4, 480--500 (1988; Zbl 0668.45010) Full Text: DOI
Bauer, Heinz Funktionenkegel und Integralungleichungen. (German) Zbl 0396.46019 Bayer. Akad. Wiss., Math.-naturw. Kl., Sitzungsber. 1977, 53-61 (1977). MSC: 46E05 46A40 28C05 45N05 PDFBibTeX XMLCite \textit{H. Bauer}, Sitzungsber., Bayer. Akad. Wiss., Math.-Naturwiss. Kl. 1977, 53--61 (1977; Zbl 0396.46019)