Existence of solutions of implicit integral equations via Z-contraction

Autor:	Deepesh Kumar Patel, Pradip Ramesh Patle
Rok vydání:	2018
Předmět:	010101 applied mathematics General Mathematics 010102 general mathematics Mathematical analysis 0101 mathematics 01 natural sciences Contraction (operator theory) Integral equation Mathematics
Zdroj:	Carpathian Journal of Mathematics. 34:239-246
ISSN:	1843-4401 1584-2851
DOI:	10.37193/cjm.2018.02.12
Popis:	The main focus of this work is to assure that the sum of a compact operator with a Z-contraction admits a fixed point. The concept of condensing mapping (in the sense of Hausdorff non-compactness measure) is used to establish the concerned result which generalizes some of the existing state-of-art in the literature. Presented result is used to verify the actuality of solutions of implicit integral equations.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::ee1570af03ad73a7fb22b60cc4280809 https://doi.org/10.37193/cjm.2018.02.12 Zobrazit plný text záznamu Plný text ve formátu PDF