Search Results - abstrakty inverse mapping and implicit function theorems involving nonlinear operators*
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Semi-compatible mappings and common fixed point theorems of an implicit relation via inverse $ C- $class functions
ISSN: 2473-6988, 2473-6988Published: AIMS Press 01.01.2021Published in AIMS mathematics (01.01.2021)“…In this paper, we prove some common fixed point theorems by exploring a new kind of generalized semi-compatibility and an implicit relation via inverse $ C- $class functions…”
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On Inverse and Implicit Function Theorem for Sobolev Mappings
ISSN: 2075-1680, 2075-1680Published: Basel MDPI AG 06.03.2025Published in Axioms (06.03.2025)“…We extend Clarke’s local inversion theorem for Sobolev mappings. We use this result to find a general implicit function theorem for continuous locally Lipschitz…”
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An inverse mapping approach for process systems engineering using automatic differentiation and the implicit function theorem
ISSN: 0001-1541, 1547-5905Published: Hoboken, USA John Wiley & Sons, Inc 01.09.2023Published in AIChE journal (01.09.2023)“…The objective in this work is to propose a novel approach for solving inverse problems from the output space to the input space using automatic differentiation coupled with the implicit function…”
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Unified Common Fixed Point Theorems for a Hybrid Pair of Mappings via an Implicit Relation Involving Altering Distance Function
ISSN: 1085-3375, 1687-0409Published: Cairo, Egypt Hindawi Limiteds 01.01.2014Published in Abstract and Applied Analysis (01.01.2014)“…The object of this paper is to emphasize the role of a suitable implicit relation involving altering distance function which covers a multitude of contraction conditions in one go…”
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