000125983 001__ 125983 000125983 005__ 20241125101137.0 000125983 0247_ $$2doi$$a10.3390/math11092019 000125983 0248_ $$2sideral$$a133588 000125983 037__ $$aART-2023-133588 000125983 041__ $$aeng 000125983 100__ $$0(orcid)0000-0003-4847-0493$$aNavascués, María A.$$uUniversidad de Zaragoza 000125983 245__ $$aIterative schemes involving several mutual contractions 000125983 260__ $$c2023 000125983 5060_ $$aAccess copy available to the general public$$fUnrestricted 000125983 5203_ $$aIn this paper, we introduce the new concept of mutual Reich contraction that involves a pair of operators acting on a distance space. We chose the framework of strong b-metric spaces (generalizing the standard metric spaces) in order to add a more extended underlying structure. We provide sufficient conditions for two mutually Reich contractive maps in order to have a common fixed point. The result is extended to a family of operators of any cardinality. The dynamics of iterative discrete systems involving this type of self-maps is studied. In the case of normed spaces, we establish some relations between mutual Reich contractivity and classical contractivity for linear operators. Then, we introduce the new concept of mutual functional contractivity that generalizes the concept of classical Banach contraction, and perform a similar study to the Reich case. We also establish some relations between mutual functional contractions and Banach contractivity in the framework of quasinormed spaces and linear mappings. Lastly, we apply the obtained results to convolutional operators that had been defined by the first author acting on Bochner spaces of integrable Banach-valued curves. 000125983 540__ $$9info:eu-repo/semantics/openAccess$$aby$$uhttp://creativecommons.org/licenses/by/3.0/es/ 000125983 590__ $$a2.3$$b2023 000125983 592__ $$a0.475$$b2023 000125983 591__ $$aMATHEMATICS$$b21 / 490 = 0.043$$c2023$$dQ1$$eT1 000125983 593__ $$aEngineering (miscellaneous)$$c2023$$dQ2 000125983 593__ $$aMathematics (miscellaneous)$$c2023$$dQ2 000125983 593__ $$aComputer Science (miscellaneous)$$c2023$$dQ2 000125983 594__ $$a4.0$$b2023 000125983 655_4 $$ainfo:eu-repo/semantics/article$$vinfo:eu-repo/semantics/publishedVersion 000125983 700__ $$aJha, Sangita 000125983 700__ $$aChand, Arya K. B. 000125983 700__ $$aMohapatra, Ram N. 000125983 7102_ $$12005$$2595$$aUniversidad de Zaragoza$$bDpto. Matemática Aplicada$$cÁrea Matemática Aplicada 000125983 773__ $$g11, 9 (2023), 2019 [18 pp.]$$pMathematics (Basel)$$tMathematics$$x2227-7390 000125983 8564_ $$s473440$$uhttps://zaguan.unizar.es/record/125983/files/texto_completo.pdf$$yVersión publicada 000125983 8564_ $$s2607790$$uhttps://zaguan.unizar.es/record/125983/files/texto_completo.jpg?subformat=icon$$xicon$$yVersión publicada 000125983 909CO $$ooai:zaguan.unizar.es:125983$$particulos$$pdriver 000125983 951__ $$a2024-11-22-12:01:24 000125983 980__ $$aARTICLE