Fixed point theorems for discontinuous functions and applications
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Publication:4377220
DOI10.1016/S0362-546X(97)00058-8zbMath0896.47043MaRDI QIDQ4377220
Publication date: 9 February 1998
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
fixed point theoryapproximate the discontinuous function by a continuous oneequilibrium price theoryextend the discontinuous function to a point-to-set function that is upper semicontinuous
Semigroups of nonlinear operators (47H20) Microeconomic theory (price theory and economic markets) (91B24) Fixed-point theorems (47H10) Set-valued operators (47H04)
Related Items (17)
Approximate Fixed-Point Theorems for Discontinuous Mappings ⋮ MULTI-CLASS RESOURCE SHARING WITH BATCH ARRIVALS ⋮ A remark on discontinuity at fixed point ⋮ On the problem of discontinuity at fixed point ⋮ New results on discontinuity at fixed point ⋮ Unnamed Item ⋮ Unnamed Item ⋮ Some results on existence and approximation in metric fixed point theory ⋮ Fixed-point properties of roughly contractive mappings ⋮ Fixed points and continuity for a pair of contractive maps with application to nonlinear Volterra integral equations ⋮ Fixed Point Theorems for Discontinuous Maps on a Non‐convex Domain ⋮ Common fixed point theorems for self-mappings in Menger PM-spaces with nonlinear contractive condition ⋮ Analytical Meir-Keeler type contraction mappings and equivalent characterizations ⋮ Some fixed-circle theorems and discontinuity at fixed circle ⋮ Caristi type and meir-keeler type fixed point theorems ⋮ An overview of the emergence of weaker continuity notions, various classes of contractive mappings and related fixed point theorems ⋮ Fixed points and continuity of contractive maps
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