Results 171 to 180 of about 5,560 (184)

MR3269340 Reviewed O'Regan, Donal Lefschetz type theorems for a class of noncompact mappings. J. Nonlinear Sci. Appl. 7 (2014), no. 5, 288–295. (Reviewer: Calogero Vetro) 47H10

, 2015
Lefschetz fixed-point theorem furnishes a way for counting the fixed points of a suitable mapping. In particular, the Lefschetz fixed-point theorem states that if Lefschetz number is not zero, then the involved mapping has at least one fixed point, that is, there exists a point that does not change upon application of mapping. ewline Let $f={f_q}:E o E$
Calogero Vetro
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MR3136189 Reviewed Merghadi, F.; Godet-Thobie, C. Common fixed point theorems under contractive conditions of integral type in symmetric spaces. Demonstratio Math. 46 (2013), no. 4, 757–780. (Reviewer: Pasquale Vetro) 47H10 (47H09)

, 2014
The problem of establishing the existence of fixed points for mappings satisfying weak contractive conditions in metric spaces has been widely investigated in the last few decades. More recently, many papers have been published extending this study to various metric contexts.
Pasquale Vetro
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Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative

Advances in Applied Mathematics and Mechanics, 2019
Considering a fractional integro-differential equation involving a general form of Hilfer fractional derivative with respect to another function. We show that weighted Cauchy-type problem is equivalent to a Volterra integral equation, we also prove the ...
Mohammed S. Abdo and Satish K. Panchal
semanticscholar   +1 more source

PROOF-THEORETIC METHODS IN NONLINEAR ANALYSIS

International Congress of Mathematicans, 2019
We discuss applications of methods from proof theory, so-called proof interpretations, for the extraction of explicit bounds in convex optimization, fixed point theory, ergodic theory and nonlinear semigroup theory.
U. Kohlenbach
semanticscholar   +1 more source

An Implicit Function Implies Several Contraction Conditions

Sarajevo Journal of Mathematics
In this paper, we define a new implicit function which includes a majority of contractions of the existing literature of metric fixed point theory and then utilize the same to prove a general common fixed point theorem for two pairs of weakly compatible ...
J. Ali, M. Imdad
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General Common Fixed Point Theorems for Compatible Mappings of Type (C)

Sarajevo Journal of Mathematics
In this note, we prove a common fixed point theorem for four compatible mappings of type (C) satisfying an implicit relation. This theorem generalizes, improves and extends the result of Popa [6] and others.
H. Bouhadjera
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A Common Fixed Point Theorem for Weakly Compatible Mappings in Compact Metric Spaces Satisfying an Implicit Relation

Sarajevo Journal of Mathematics
We prove a common fixed point Theorem for four mappings in compact metric spaces satisfying an implicit relation using the concept of weak compatibility without decreasing assumption which generalizes Theorem 1 of V. Popa [9].
A. Aliouche
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A New Regularization Method for a Class of Ill-Posed Cauchy Problems

Sarajevo Journal of Mathematics
In this paper, the Cauchy problem for the elliptic equation is investigated. We use a quasireversibility method to solve it and present convergence estimates under different assumptions for the exact solution.
N. Tuan, D. D. Trong, P. H. Quan
semanticscholar   +1 more source

New Random Fixed Point Results for Generalized Altering Distance Functions

Sarajevo Journal of Mathematics
The aim of this work is to establish new random common fixed points for pair of mappings satisfying generalized weakly contractive conditions in the setting of complete metric spaces.   2000 Mathematics Subject Classification.
H. Nashine
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MR3098564 Reviewed Al-Thagafi, M. A.; Shahzad, Naseer Krasnosel'skii-type fixed-point results. J. Nonlinear Convex Anal. 14 (2013), no. 3, 483–491. (Reviewer: Calogero Vetro) 47H10 (47H09)

2014
The Krasnosel'skii fixed-point theorem is a powerful tool in dealing with various types of integro-differential equations. The initial motivation of this theorem is the fact that the inversion of a perturbed differential operator may yield the sum of a continuous compact mapping and a contraction mapping.
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