Novel results for two families of multivalued dominated mappings satisfying generalized nonlinear contractive inequalities and applications

• Autorzy: Rasham Tahair , Mustafa Arjumand , Mukheimer Aiman , Nazam Muhammad , Shatanawi Wasfi

Identyfikatory

DOI

10.1515/dema-2023-0161

• Języki publikacji: EN

Abstrakty

EN

In this manuscript, we prove new extensions of Nashine, Wardowski, Feng-Liu, and Ćirić-type contractive inequalities using orbitally lower semi-continuous functions in an orbitally complete b-metric space. We accomplish new multivalued common fixed point results for two families of dominated set-valued mappings in an ordered complete orbitally b-metric space. Some new definitions and illustrative examples are given to validate our new results. To show the novelty of our results, applications are given to obtain the solution of nonlinear integral and fractional differential equations. Our results expand the hypothetical consequences of Nashine et al. (Feng–Liu-type fixed point result in orbital b-metric spaces and application to fractal integral equation, Nonlinear Anal. Model. Control. 26 (2021), no. 3, 522–533) and Rasham et al. (Common fixed point results for new Ciric-type rational multivalued-contraction with an application, J. Fixed Point Theory Appl. 20 (2018), no. 1, Paper No. 45).

Słowa kluczowe

EN

fixed point; orbitally b-metric space; new extensions of Nashine, Wardowski, Feng-Liu and Ćirić-type contraction; two families of set-valued dominated mappings; integral equations; fractional differential equations

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2024
• Tom: Vol. 57, nr 1
• Strony: art. no. 20230161
• Opis fizyczny: Bibliogr. 39 poz.

Twórcy

autor

Rasham Tahair

• Department of Mathematics, University of Poonch Rawalakot, AJK, Pakistan

autor

Mustafa Arjumand

• Department of Mathematics, University of Poonch Rawalakot, AJK, Pakistan

autor

Mukheimer Aiman

• Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia

autor

Nazam Muhammad

• Department of Mathematics, Allama Iqbal Open University, Islamabad, Pakistan

autor

Shatanawi Wasfi

• Department of Mathematics and Sciences, Prince Sultan University, Riyadh, Saudi Arabia
• Department of Mathematics, Faculty of Science, Hashemite University, Zarqa, Jordan
• Department of Medical Research, China Medical University, Taichung 40402, Taiwan

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).